Math Buddy covers all the topics of grade 5. Topics include numerical expression, pattern, operations in base ten, whole number, fraction, measurement, volume, and geometry, represent data and many more interactive activities, worksheets and assessments for better understanding of the math concepts.

The skills are organised into topics, and you can move your mouse over any skill name to view. To start practicing, just click on any link.
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•  5.OA Operations and Algebraic Thinking
•  5 Write and interpret numerical expressions.
•  5 Analyze patterns and relationships.
• ```Notice (8): Undefined index: @attributes [APP/View/Curriculums/reload_curriculum.ctp, line 126]Code Context```                                { ?>
```
```
```
```                                <li style="list-style:none;" id='topic_<?php echo \$cnt;?>_<?php echo \$stcnt;?>_<?php echo ++\$tcnt;?>'><a href='#' class='black'><?php echo \$topiclist['@attributes']['desc'] ?></a>
\$dataForView = array(
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'free' => true,
'table1' => 'activities',
'activity_index' => array(
(int) 0 => 'm5h5c1t6p1',
(int) 1 => 'm5h5c1t6p2',
(int) 2 => 'm5h5c1t6p3',
(int) 3 => 'm5h5c1t6p4',
(int) 4 => 'm5h5c1t6p5',
(int) 5 => 'm5h5c1t1p1',
(int) 6 => 'm5h5c1t1p2',
(int) 7 => 'm5h5c1t1p3',
(int) 8 => 'm5h5c1t1p4',
(int) 9 => 'm5h5c1t1p5',
(int) 10 => 'm5h5c1t1p6',
(int) 11 => 'm5h5c1t1p7',
(int) 12 => 'm5h5c1t1p8',
(int) 13 => 'm5h5c4t1p1',
(int) 14 => 'm5h5c4t1p2',
(int) 15 => 'm5h5c4t1p4',
(int) 16 => 'm3h5c1t13p1',
(int) 17 => 'm3h5c1t13p2',
(int) 18 => 'm3h5c1t13p3',
(int) 19 => 'm7h7c1t3p1',
(int) 20 => 'm5h5c4t1p3',
(int) 21 => 'm5h5c4t1p5',
(int) 22 => 'm5h5c4t1p6',
(int) 23 => 'm4h5c4t2p1',
(int) 24 => 'm4h5c4t2p2',
(int) 25 => 'm4h5c4t2p3',
(int) 26 => 'm4h5c4t2p4',
(int) 27 => 'm4h5c4t2p5',
(int) 28 => 'm4h5c4t3p5',
(int) 29 => 'm4h5c1t4p5',
(int) 30 => 'm5h5c4t6p1',
(int) 31 => 'm5h5c4t6p2',
(int) 32 => 'm4h5c1t5p1',
(int) 33 => 'm4h5c1t5p2',
(int) 34 => 'm5h5c1t5p2',
(int) 35 => 'm4h5c4t4p1',
(int) 36 => 'm4h5c4t4p2',
(int) 37 => 'm4h5c4t4p3',
(int) 38 => 'm4h5c4t4p4',
(int) 39 => 'm4h5c4t4p5',
(int) 40 => 'm4h5c4t4p6',
(int) 41 => 'm5h5c2t5p1',
(int) 42 => 'm5h5c2t5p2',
(int) 43 => 'm5h5c2t5p3',
(int) 44 => 'm5h5c2t6p1',
(int) 45 => 'm5h5c2t6p2',
(int) 46 => 'm5h5c2t5p3b',
(int) 47 => 'm5h5c2t6p4',
(int) 48 => 'm5h5c2t6p3',
(int) 49 => 'm5h5c2t5p3a',
(int) 50 => 'mh5c2t4p1',
(int) 51 => 'mh5c2t4p2',
(int) 52 => 'mh5c2t4p3',
(int) 53 => 'mh5c2t4p4',
(int) 54 => 'mh5c2t4p5',
(int) 55 => 'mh5c2t4p6',
(int) 56 => 'm4h5c2t7p1',
(int) 57 => 'm4h5c2t7p2',
(int) 58 => 'm4h5c2t7p3',
(int) 59 => 'm4h5c2t7p4',
(int) 60 => 'm4h5c2t7p5',
(int) 61 => 'm4h5c2t7p5a',
(int) 62 => 'm4h5c2t7p6',
(int) 63 => 'm4h5c2t7p7',
(int) 64 => 'm5h5c1t8p5',
(int) 65 => 'm5h5c2t8p10',
(int) 66 => 'm5h5c2t8p11',
(int) 67 => 'm5h5c2t8p7',
(int) 68 => 'm5h5c2t8p8',
(int) 69 => 'm5h5c2t8p9',
(int) 70 => 'm5h5c2t8p1',
(int) 71 => 'm5h5c2t8p2',
(int) 72 => 'm5h5c2t8p3',
(int) 73 => 'm5h5c2t8p4',
(int) 74 => 'm5h5c2t8p5',
(int) 75 => 'm5h5c2t8p6',
(int) 76 => 'm3h3c1t3p5',
(int) 77 => 'm2h3c1t3p7',
(int) 78 => 'm4h5c4t3p1',
(int) 79 => 'm4h5c4t3p2',
(int) 80 => 'm4h5c4t3p3',
(int) 81 => 'm4h5c4t3p4',
(int) 82 => 'm2h3c1t2p1',
(int) 83 => 'm5h3c2t1p1',
(int) 84 => 'm5h3c2t1p2',
(int) 85 => 'm5h3c2t1p3',
(int) 86 => 'm5h3c2t1p4',
(int) 87 => 'm5h3c2t1p5',
(int) 88 => 'm5h3c2t1p6',
(int) 89 => 'm9h3c1t1p4',
(int) 90 => 'm9h3c1t1p5',
(int) 91 => 'm9h3c1t1p6',
(int) 92 => 'm9h3c1t2p1',
(int) 93 => 'm8h2c2t1p1',
(int) 94 => 'm8h2c2t1p2',
(int) 95 => 'm8h2c2t1p3',
(int) 96 => 'm8h2c2t1p4',
(int) 97 => 'm3h4c2t1p1',
(int) 98 => 'm3h4c2t1p2',
(int) 99 => 'm4h4c2t1p1',
(int) 100 => 'm4h4c2t1p2',
(int) 101 => 'm6h4c1t4p3',
(int) 102 => 'm6h4c1t4p5',
(int) 103 => 'm6h4c1t4p4',
(int) 104 => 'm6h4c1t4p1',
(int) 105 => 'm6h4c1t4p2',
(int) 106 => 'm8h4c1t1p2',
(int) 107 => 'm8h4c1t1p3',
(int) 108 => 'm8h4c1t1p4',
(int) 109 => 'm8h4c1t1p5',
(int) 110 => 'm9h4c6t1p4',
(int) 111 => 'm9h4c6t1p6'
),
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'checkCombat' => array(
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'MATHLATHON_DOMAIN' => 'www.mathlathon.org',
'country_id' => '1',
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'MEDIA_URL' => ''
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\$notawailable = true
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\$table1 = 'activities'
\$activity_index = array(
(int) 0 => 'm5h5c1t6p1',
(int) 1 => 'm5h5c1t6p2',
(int) 2 => 'm5h5c1t6p3',
(int) 3 => 'm5h5c1t6p4',
(int) 4 => 'm5h5c1t6p5',
(int) 5 => 'm5h5c1t1p1',
(int) 6 => 'm5h5c1t1p2',
(int) 7 => 'm5h5c1t1p3',
(int) 8 => 'm5h5c1t1p4',
(int) 9 => 'm5h5c1t1p5',
(int) 10 => 'm5h5c1t1p6',
(int) 11 => 'm5h5c1t1p7',
(int) 12 => 'm5h5c1t1p8',
(int) 13 => 'm5h5c4t1p1',
(int) 14 => 'm5h5c4t1p2',
(int) 15 => 'm5h5c4t1p4',
(int) 16 => 'm3h5c1t13p1',
(int) 17 => 'm3h5c1t13p2',
(int) 18 => 'm3h5c1t13p3',
(int) 19 => 'm7h7c1t3p1',
(int) 20 => 'm5h5c4t1p3',
(int) 21 => 'm5h5c4t1p5',
(int) 22 => 'm5h5c4t1p6',
(int) 23 => 'm4h5c4t2p1',
(int) 24 => 'm4h5c4t2p2',
(int) 25 => 'm4h5c4t2p3',
(int) 26 => 'm4h5c4t2p4',
(int) 27 => 'm4h5c4t2p5',
(int) 28 => 'm4h5c4t3p5',
(int) 29 => 'm4h5c1t4p5',
(int) 30 => 'm5h5c4t6p1',
(int) 31 => 'm5h5c4t6p2',
(int) 32 => 'm4h5c1t5p1',
(int) 33 => 'm4h5c1t5p2',
(int) 34 => 'm5h5c1t5p2',
(int) 35 => 'm4h5c4t4p1',
(int) 36 => 'm4h5c4t4p2',
(int) 37 => 'm4h5c4t4p3',
(int) 38 => 'm4h5c4t4p4',
(int) 39 => 'm4h5c4t4p5',
(int) 40 => 'm4h5c4t4p6',
(int) 41 => 'm5h5c2t5p1',
(int) 42 => 'm5h5c2t5p2',
(int) 43 => 'm5h5c2t5p3',
(int) 44 => 'm5h5c2t6p1',
(int) 45 => 'm5h5c2t6p2',
(int) 46 => 'm5h5c2t5p3b',
(int) 47 => 'm5h5c2t6p4',
(int) 48 => 'm5h5c2t6p3',
(int) 49 => 'm5h5c2t5p3a',
(int) 50 => 'mh5c2t4p1',
(int) 51 => 'mh5c2t4p2',
(int) 52 => 'mh5c2t4p3',
(int) 53 => 'mh5c2t4p4',
(int) 54 => 'mh5c2t4p5',
(int) 55 => 'mh5c2t4p6',
(int) 56 => 'm4h5c2t7p1',
(int) 57 => 'm4h5c2t7p2',
(int) 58 => 'm4h5c2t7p3',
(int) 59 => 'm4h5c2t7p4',
(int) 60 => 'm4h5c2t7p5',
(int) 61 => 'm4h5c2t7p5a',
(int) 62 => 'm4h5c2t7p6',
(int) 63 => 'm4h5c2t7p7',
(int) 64 => 'm5h5c1t8p5',
(int) 65 => 'm5h5c2t8p10',
(int) 66 => 'm5h5c2t8p11',
(int) 67 => 'm5h5c2t8p7',
(int) 68 => 'm5h5c2t8p8',
(int) 69 => 'm5h5c2t8p9',
(int) 70 => 'm5h5c2t8p1',
(int) 71 => 'm5h5c2t8p2',
(int) 72 => 'm5h5c2t8p3',
(int) 73 => 'm5h5c2t8p4',
(int) 74 => 'm5h5c2t8p5',
(int) 75 => 'm5h5c2t8p6',
(int) 76 => 'm3h3c1t3p5',
(int) 77 => 'm2h3c1t3p7',
(int) 78 => 'm4h5c4t3p1',
(int) 79 => 'm4h5c4t3p2',
(int) 80 => 'm4h5c4t3p3',
(int) 81 => 'm4h5c4t3p4',
(int) 82 => 'm2h3c1t2p1',
(int) 83 => 'm5h3c2t1p1',
(int) 84 => 'm5h3c2t1p2',
(int) 85 => 'm5h3c2t1p3',
(int) 86 => 'm5h3c2t1p4',
(int) 87 => 'm5h3c2t1p5',
(int) 88 => 'm5h3c2t1p6',
(int) 89 => 'm9h3c1t1p4',
(int) 90 => 'm9h3c1t1p5',
(int) 91 => 'm9h3c1t1p6',
(int) 92 => 'm9h3c1t2p1',
(int) 93 => 'm8h2c2t1p1',
(int) 94 => 'm8h2c2t1p2',
(int) 95 => 'm8h2c2t1p3',
(int) 96 => 'm8h2c2t1p4',
(int) 97 => 'm3h4c2t1p1',
(int) 98 => 'm3h4c2t1p2',
(int) 99 => 'm4h4c2t1p1',
(int) 100 => 'm4h4c2t1p2',
(int) 101 => 'm6h4c1t4p3',
(int) 102 => 'm6h4c1t4p5',
(int) 103 => 'm6h4c1t4p4',
(int) 104 => 'm6h4c1t4p1',
(int) 105 => 'm6h4c1t4p2',
(int) 106 => 'm8h4c1t1p2',
(int) 107 => 'm8h4c1t1p3',
(int) 108 => 'm8h4c1t1p4',
(int) 109 => 'm8h4c1t1p5',
(int) 110 => 'm9h4c6t1p4',
(int) 111 => 'm9h4c6t1p6'
)
\$activity_details = array(
(int) 0 => array(
'activities' => array(
'id' => '618',
'unique_id' => 'm5h5c1t6p1',
'name' => 'Why order of operations is important',
'description' => 'Did you know that the order in which you do the operations matters? Let us see some examples and understand how we can find the correct order.',
'keywords' => '',
'submodule_id' => '125',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'why-order-of-operations-is-important-2'
)
),
(int) 1 => array(
'activities' => array(
'id' => '619',
'unique_id' => 'm5h5c1t6p2',
'name' => 'Place the brackets',
'description' => 'Can you drag and place these parentheses at the correct place to tell which operation needs to be done first to get the number given?',
'keywords' => '',
'submodule_id' => '125',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'place-the-brackets-2'
)
),
(int) 2 => array(
'activities' => array(
'id' => '620',
'unique_id' => 'm5h5c1t6p3',
'name' => 'Click on the symbols in the correct order',
'description' => 'Click on the symbol that needs to be evaluated first in this expression. Remember the order: PEMDAS - Parentheses, Exponents, Division - Multiplication from left to right, Addition - Subtraction from left to right.',
'keywords' => '',
'submodule_id' => '125',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'click-on-the-symbols-in-the-correct-order-2'
)
),
(int) 3 => array(
'activities' => array(
'id' => '621',
'unique_id' => 'm5h5c1t6p4',
'name' => 'Drag and place the numbers',
'description' => 'Drag the numbers into the correct boxes to get the number on the right. Remember PEMDAS - Parentheses, Exponents, Division - Multiplication from left to right, Addition - Subtraction from left to right.',
'keywords' => '',
'submodule_id' => '125',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'drag-and-place-the-numbers-2'
)
),
(int) 4 => array(
'activities' => array(
'id' => '622',
'unique_id' => 'm5h5c1t6p5',
'name' => 'Fit the numbers and symbols',
'description' => 'Now, let us see if we can drag the numbers and the symbols into the correct boxes to get the number on the right.',
'keywords' => '',
'submodule_id' => '125',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fit-the-numbers-and-symbols-2'
)
),
(int) 5 => array(
'activities' => array(
'id' => '569',
'unique_id' => 'm5h5c1t1p1',
'name' => 'Representing numbers in Millions',
'description' => 'What is a Million? We have seen what a hundred thousand represents. If you add ten hundred thousand, you get a Million. ',
'keywords' => '',
'submodule_id' => '77',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'representing-numbers-in-millions-2'
)
),
(int) 6 => array(
'activities' => array(
'id' => '570',
'unique_id' => 'm5h5c1t1p2',
'name' => 'Let us identify the number',
'description' => 'Can you identify the number represented here using Dominos?',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-identify-the-number'
)
),
(int) 7 => array(
'activities' => array(
'id' => '571',
'unique_id' => 'm5h5c1t1p3',
'name' => 'Represent the number using Dominos',
'description' => 'Click on the Dominos at the top of the tubes to represent the number shown.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-the-number-using-dominos-2'
)
),
(int) 8 => array(
'activities' => array(
'id' => '572',
'unique_id' => 'm5h5c1t1p4',
'name' => 'What does the number represent?',
'description' => 'Let us expand the number and write it. Look carefully at the question being asked.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'what-does-the-number-represent-2'
)
),
(int) 9 => array(
'activities' => array(
'id' => '573',
'unique_id' => 'm5h5c1t1p5',
'name' => 'Standard and expanded forms',
'description' => 'Let us practice writing numbers in their expanded form and standard (numeral) form.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'standard-and-expanded-forms'
)
),
(int) 10 => array(
'activities' => array(
'id' => '574',
'unique_id' => 'm5h5c1t1p6',
'name' => 'Write in Numerals',
'description' => 'Here, we have a number written in its expanded word form. Can you write its numeral form?',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-in-numerals-2'
)
),
(int) 11 => array(
'activities' => array(
'id' => '575',
'unique_id' => 'm5h5c1t1p7',
'name' => 'Identify the place value',
'description' => 'Can you identify the place value of the underlined digit. This could be ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions or ten millions. ',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'identify-the-place-value-4'
)
),
(int) 12 => array(
'activities' => array(
'id' => '576',
'unique_id' => 'm5h5c1t1p8',
'name' => 'Conversion exercises',
'description' => 'Now that we know how to represent numbers in millions, let us see if we can answer the following questions.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'conversion-exercises-2'
)
),
(int) 13 => array(
'activities' => array(
'id' => '673',
'unique_id' => 'm5h5c4t1p1',
'name' => 'Let us represent one thousandth of a unit',
'description' => 'When an object gets divided into thousand portions, each portion is called one-thousandth of the object. Let us understand how to represent this in decimal form.',
'keywords' => '',
'submodule_id' => '139',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'let-us-represent-one-thousandth-of-a-unit-2'
)
),
(int) 14 => array(
'activities' => array(
'id' => '674',
'unique_id' => 'm5h5c4t1p2',
'name' => 'Measurement units and their Decimal form',
'description' => 'We use decimals to represent the commonly represented measurement units. Let us see how we can do this.',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'measurement-units-and-their-decimal-form-2'
)
),
(int) 15 => array(
'activities' => array(
'id' => '676',
'unique_id' => 'm5h5c4t1p4',
'name' => 'Identify the place value',
'description' => 'Can you tell me the place value of the digit highlighted in red color?',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'identify-the-place-value-5'
)
),
(int) 16 => array(
'activities' => array(
'id' => '332',
'unique_id' => 'm3h5c1t13p1',
'name' => 'Multiply any number by 10',
'description' => 'In this activity you will be asked to multiply simple numbers using the number 10. You will observe a pattern and then will be able to see how easy it is to multiply any number by 10 without much effort.',
'keywords' => '',
'submodule_id' => '33',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'multiply-any-number-by-10-2'
)
),
(int) 17 => array(
'activities' => array(
'id' => '333',
'unique_id' => 'm3h5c1t13p2',
'name' => 'How to easily multiply any number by 100?',
'description' => 'In this activity you will learn how easy it is to multiply any number by 100 without much difficulty. You will see a pattern and will be able to multiply any number by 100 within seconds',
'keywords' => '',
'submodule_id' => '33',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'how-to-easily-multiply-any-number-by-100-2'
)
),
(int) 18 => array(
'activities' => array(
'id' => '334',
'unique_id' => 'm3h5c1t13p3',
'name' => 'Simplify the numbers and multiply',
'description' => 'How do you multiply bigger numbers easily. You just have to split the numbers and multiply them. This activity will teach you how to do this.',
'keywords' => '',
'submodule_id' => '33',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'simplify-the-numbers-and-multiply-2'
)
),
(int) 19 => array(
'activities' => array(
'id' => '978',
'unique_id' => 'm7h7c1t3p1',
'name' => 'Pick the correct option that shows scientific notation',
'description' => 'Are you familiar with scientific notation? This skill activity will test to see if you have understood the scientific notation.',
'keywords' => '',
'submodule_id' => '228',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'pick-the-correct-option-that-shows-scientific-notation-2'
)
),
(int) 20 => array(
'activities' => array(
'id' => '675',
'unique_id' => 'm5h5c4t1p3',
'name' => 'Represent the picture in decimals',
'description' => 'Look at the picture and determine what fraction is represented here.',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-the-picture-in-decimals-3'
)
),
(int) 21 => array(
'activities' => array(
'id' => '677',
'unique_id' => 'm5h5c4t1p5',
'name' => 'Expand the Decimal number',
'description' => 'Let us see how much you have understood about decimals. Can you write the expanded form of these decimals?',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'expand-the-decimal-number-3'
)
),
(int) 22 => array(
'activities' => array(
'id' => '678',
'unique_id' => 'm5h5c4t1p6',
'name' => 'Fraction as a decimal and vice versa',
'description' => 'Any fraction can be written in decimal form and any decimal can be written in the form of a fraction. Here, let us write some decimals in fraction form and vice versa.',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-as-a-decimal-and-vice-versa-3'
)
),
(int) 23 => array(
'activities' => array(
'id' => '543',
'unique_id' => 'm4h5c4t2p1',
'name' => 'Equivalent Decimals',
'description' => 'We have learnt about equivalent fractions earlier. Adding zeros at the end of a decimal number creates equivalent decimals. Let us understand what this means and how these are useful.',
'keywords' => '',
'submodule_id' => '99',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'equivalent-decimals-2'
)
),
(int) 24 => array(
'activities' => array(
'id' => '544',
'unique_id' => 'm4h5c4t2p2',
'name' => 'Place Value Balance',
'description' => 'Can you click on place value blocks and try to balance the decimals on both sides of the place value balance? Notice that the balance tilts to the side that contains the bigger value.',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'place-value-balance-2'
)
),
(int) 25 => array(
'activities' => array(
'id' => '545',
'unique_id' => 'm4h5c4t2p3',
'name' => 'Decimal comparison using a numberline',
'description' => 'We can use numberlines to represent and compare decimals. Drag the numberline to represent the decimals and compare them. ',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'decimal-comparison-using-a-numberline-2'
)
),
(int) 26 => array(
'activities' => array(
'id' => '546',
'unique_id' => 'm4h5c4t2p4',
'name' => 'Comparison of decimals - Skill Practice',
'description' => 'Now that we know how to compare decimals, let us see how fast we can compare them.',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'comparison-of-decimals-skill-practice-2'
)
),
(int) 27 => array(
'activities' => array(
'id' => '547',
'unique_id' => 'm4h5c4t2p5',
'name' => 'Arrange the decimals',
'description' => 'Can you drag and arrange the decimals on the numberline in increasing order.',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'arrange-the-decimals-2'
)
),
(int) 28 => array(
'activities' => array(
'id' => '552',
'unique_id' => 'm4h5c4t3p5',
'name' => 'Rounding of decimals using numberline',
'description' => 'Often we round off decimals to the nearest tenths or nearest unit, to make life easier when adding or subtracting decimals. For example, when we are at a grocery store, we can estimate the approximate cost if we round off the coins to the nearest dollar.',
'keywords' => '',
'submodule_id' => '100',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'rounding-of-decimals-using-numberline-2'
)
),
(int) 29 => array(
'activities' => array(
'id' => '504',
'unique_id' => 'm4h5c1t4p5',
'name' => 'Story Problems',
'description' => 'Let us see if you can understand the word problems and solve them. Try to use the properties of multiplication where possible.',
'keywords' => '',
'submodule_id' => '89',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'story-problems-2'
)
),
(int) 30 => array(
'activities' => array(
'id' => '679',
'unique_id' => 'm5h5c4t6p1',
'name' => 'Understand Multiplication of Decimals',
'description' => 'Let us use a block model to represent and understand multiplication of decimals. Drag the sliders to represent the two decimals to be multiplied, and add up the number of units, tenths and hundredths to get the result.',
'keywords' => '',
'submodule_id' => '140',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'understand-multiplication-of-decimals-2'
)
),
(int) 31 => array(
'activities' => array(
'id' => '680',
'unique_id' => 'm5h5c4t6p2',
'name' => 'Place the Decimals',
'description' => 'When we multiply two decimal numbers, you can simply ignore the decimals and multiply the numbers, and then place the decimal in the result at the correct location. Let us see how.',
'keywords' => '',
'submodule_id' => '140',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'place-the-decimals-2'
)
),
(int) 32 => array(
'activities' => array(
'id' => '505',
'unique_id' => 'm4h5c1t5p1',
'name' => 'Divide using array model',
'description' => 'We used array model earlier in multiplication. Let us see if we can use array model for division also.. Click on the arrows to increase or decrease the number of rows in the array model. ',
'keywords' => '',
'submodule_id' => '85',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'divide-using-array-model-3'
)
),
(int) 33 => array(
'activities' => array(
'id' => '506',
'unique_id' => 'm4h5c1t5p2',
'name' => 'Divide using place value dominos',
'description' => 'Let us represent numbers using place value dominos and try to divide them. If the dominos cannot be equally divided into the bins, you need to break them into smaller place values. ',
'keywords' => '',
'submodule_id' => '85',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'divide-using-place-value-dominos-3'
)
),
(int) 34 => array(
'activities' => array(
'id' => '616',
'unique_id' => 'm5h5c1t5p2',
'name' => 'Long division Practice(4 digits by 2 digits)',
'description' => 'Now that we know how to divide a 4 digit number by a 1 digit number, let us practice dividing a 4 digit number by a 2 digit number using long division method.',
'keywords' => '',
'submodule_id' => '121',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'long-division-practice-4-digits-by-2-digits-2'
)
),
(int) 35 => array(
'activities' => array(
'id' => '553',
'unique_id' => 'm4h5c4t4p1',
'name' => 'How much money do I have?',
'description' => 'Can you add up the coins and represent the amount of money in decimal form? As you know, 100 cents equals 1 dollar. You can exchange coins worth 100 cents into 1 dollar by dragging them into the bank.',
'keywords' => '',
'submodule_id' => '101',
'type' => '1',
'imagepath' => 'currency-us',
'help' => true,
'slug' => 'how-much-money-do-i-have-2'
)
),
(int) 36 => array(
'activities' => array(
'id' => '554',
'unique_id' => 'm4h5c4t4p2',
'name' => 'Let us add some money',
'description' => 'I have some money in my wallet. My friend David has some money in his wallet. How much money do we have together?',
'keywords' => '',
'submodule_id' => '101',
'type' => '2',
'imagepath' => 'currency-us',
'help' => true,
)
),
(int) 37 => array(
'activities' => array(
'id' => '555',
'unique_id' => 'm4h5c4t4p3',
'name' => 'Addition using place value blocks',
'description' => 'There are two decimals represented by place value blocks. Can you click on the blocks to add them and find the result?',
'keywords' => '',
'submodule_id' => '101',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 38 => array(
'activities' => array(
'id' => '556',
'unique_id' => 'm4h5c4t4p4',
'name' => 'Addition using decimal squares',
'description' => 'Let us represent the decimals on the decimal squares by dragging the sliders and then add them together by clicking on the "Add" button.',
'keywords' => '',
'submodule_id' => '101',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 39 => array(
'activities' => array(
'id' => '557',
'unique_id' => 'm4h5c4t4p5',
'name' => 'Represent using place value blocks and Add',
'description' => 'Can you represent the decimals using place value blocks and then add them by dragging the blocks from the top to the bottom?',
'keywords' => '',
'submodule_id' => '101',
'type' => '1',
'imagepath' => '',
'help' => true,
)
),
(int) 40 => array(
'activities' => array(
'id' => '558',
'unique_id' => 'm4h5c4t4p6',
'name' => 'Represent using place value blocks and Subtract',
'description' => 'Can you represent the decimals using place value blocks and then subtract them by dragging the blocks from the top to the bottom? Remember that if you do not have enough blocks to subtract, you will have to borrow (break) from the next higher place value.',
'keywords' => '',
'submodule_id' => '101',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'represent-using-place-value-blocks-and-subtract-2'
)
),
(int) 41 => array(
'activities' => array(
'id' => '640',
'unique_id' => 'm5h5c2t5p1',
'name' => 'Can you add the cake pieces',
'description' => 'We have learnt earlier how to add fractions that have the same denominator or where the denominators are multiples of each other. What should we do if the denominators are totally different? Well, we still need to make them equal by finding the equivalent fractions.',
'keywords' => '',
'submodule_id' => '131',
'type' => '1',
'imagepath' => '',
'help' => false,
)
),
(int) 42 => array(
'activities' => array(
'id' => '641',
'unique_id' => 'm5h5c2t5p2',
'name' => 'Addition with Fraction Strips',
'description' => 'When we have fractions that have denominators that are different from each other, we need to find the equivalent of both fractions that have the denominators equal. Let us use fraction strips to understand this. ',
'keywords' => '',
'submodule_id' => '131',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 43 => array(
'activities' => array(
'id' => '642',
'unique_id' => 'm5h5c2t5p3',
'description' => 'Now that we know how to add fractions that have different denominators, let us get some practice adding them.',
'keywords' => '',
'submodule_id' => '131',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 44 => array(
'activities' => array(
'id' => '645',
'unique_id' => 'm5h5c2t6p1',
'name' => 'Subtraction with Fraction Strips',
'description' => 'When we need to subtract fractions that have denominators that are different from each other, we again have to find the equivalent fractions that will make the denominators equal and then subtract them.',
'keywords' => '',
'submodule_id' => '132',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'subtraction-with-fraction-strips-2'
)
),
(int) 45 => array(
'activities' => array(
'id' => '646',
'unique_id' => 'm5h5c2t6p2',
'name' => 'Fraction subtraction practice',
'description' => 'Now that we know how to subtract fractions that have denominators that are different from each other, let us get some practice subtracting them. ',
'keywords' => '',
'submodule_id' => '132',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-subtraction-practice-2'
)
),
(int) 46 => array(
'activities' => array(
'id' => '644',
'unique_id' => 'm5h5c2t5p3b',
'name' => 'Word Problems',
'description' => 'Now, let us try to solve some examples from our day to day life that involve fraction addition.',
'keywords' => '',
'submodule_id' => '131',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'word-problems'
)
),
(int) 47 => array(
'activities' => array(
'id' => '648',
'unique_id' => 'm5h5c2t6p4',
'name' => 'Subtraction Word Problems',
'description' => 'Now, let us try to solve some examples from our day to day life that involve fraction subtraction.',
'keywords' => '',
'submodule_id' => '132',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'subtraction-word-problems-3'
)
),
(int) 48 => array(
'activities' => array(
'id' => '647',
'unique_id' => 'm5h5c2t6p3',
'name' => 'Fraction difference estimation',
'description' => 'Let us estimate the result of subtracting two fractions by finding their approximate equivalent. Look at the fractions and identify their closest equivalent among the fractions shown in the bottom.',
'keywords' => '',
'submodule_id' => '132',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-difference-estimation-2'
)
),
(int) 49 => array(
'activities' => array(
'id' => '643',
'unique_id' => 'm5h5c2t5p3a',
'description' => 'Let us estimate the result of adding two fractions by finding their approximate equivalent. Look at the fractions and identify their closest  equivalent among the fractions shown in the bottom.',
'keywords' => '',
'submodule_id' => '131',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 50 => array(
'activities' => array(
'id' => '583',
'unique_id' => 'mh5c2t4p1',
'name' => 'Improper Fractions and Mixed Fractions',
'description' => 'Some fractions are called Improper fractions. What is so improper about them? Let us find out.',
'keywords' => '',
'submodule_id' => '93',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'improper-fractions-and-mixed-fractions-2'
)
),
(int) 51 => array(
'activities' => array(
'id' => '584',
'unique_id' => 'mh5c2t4p2',
'name' => 'Write the improper fraction',
'description' => 'Now that we know what improper fractions are, let us represent some of the fractions shown. As always, count the number of colored divisions and divide by the number of divisions in a whole.',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-the-improper-fraction-2'
)
),
(int) 52 => array(
'activities' => array(
'id' => '585',
'unique_id' => 'mh5c2t4p3',
'name' => 'Write as mixed fraction',
'description' => 'Let us represent some of the fractions shown in mixed fraction form. ',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-as-mixed-fraction-2'
)
),
(int) 53 => array(
'activities' => array(
'id' => '586',
'unique_id' => 'mh5c2t4p4',
'name' => 'Represent as mixed fraction',
'description' => 'Let us use a fraction circle to represent mixed fractions. Divide the circle into the required number of divisions and then click on the divisions to represent the fraction.',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-as-mixed-fraction-2'
)
),
(int) 54 => array(
'activities' => array(
'id' => '587',
'unique_id' => 'mh5c2t4p5',
'name' => 'Represent using a numberline',
'description' => 'Improper fractions can be represented on a numberline. Let us explore this further. ',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-using-a-numberline-2'
)
),
(int) 55 => array(
'activities' => array(
'id' => '588',
'unique_id' => 'mh5c2t4p6',
'name' => 'Write the fractions shown',
'description' => 'Now that we have understood the concept behind improper fractions and mixed fractions, let us represent some of the fractions shown.',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-the-fractions-shown-2'
)
),
(int) 56 => array(
'activities' => array(
'id' => '525',
'unique_id' => 'm4h5c2t7p1',
'name' => 'Multiplication as repeated addition',
'description' => 'We have learnt that multiplication is nothing but repeated addition of numbers. Multiplying a fraction by a whole number is also nothing but repeatedly adding the fraction a number of times as specified by the whole number.',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => false,
)
),
(int) 57 => array(
'activities' => array(
'id' => '526',
'unique_id' => 'm4h5c2t7p2',
'name' => 'Write the multiplication problem statement',
'description' => 'Now that we know that multiplication is same as repeated addition of fractions, let us see if we can identify the multiplication statement shown in the figure. ',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-the-multiplication-problem-statement-2'
)
),
(int) 58 => array(
'activities' => array(
'id' => '527',
'unique_id' => 'm4h5c2t7p3',
'name' => 'Let us serve some pies',
'description' => 'We have some guests for dinner and we are planning to serve a specific fraction of a pie to each one of them. Can you help me to calculate exactly how much pie I need?',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-serve-some-pies-2'
)
),
(int) 59 => array(
'activities' => array(
'id' => '528',
'unique_id' => 'm4h5c2t7p4',
'name' => 'Multiplication of whole number by a fraction',
'description' => 'Now we know how to multiply a fraction by a whole number. Is this same as multiplying the whole number by the fraction? In other words, is 4 times half same as half of 4? ',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'multiplication-of-whole-number-by-a-fraction-2'
)
),
(int) 60 => array(
'activities' => array(
'id' => '529',
'unique_id' => 'm4h5c2t7p5',
'name' => 'Fraction of a collection of objects',
'description' => 'We have a collection of objects below. Can you divide them into the boxes equally and find out how many objects the fraction in question represents.',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-of-a-collection-of-objects-2'
)
),
(int) 61 => array(
'activities' => array(
'id' => '530',
'unique_id' => 'm4h5c2t7p5a',
'name' => 'Multiply whole numbers with fractions',
'description' => 'Let us learn how to multiply a whole number with a fraction using the simple, step by step procedure. Once you master this, you will be able to solve difficult problems easily.',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'multiply-whole-numbers-with-fractions-2'
)
),
(int) 62 => array(
'activities' => array(
'id' => '531',
'unique_id' => 'm4h5c2t7p6',
'name' => 'Let us practice multiplication',
'description' => 'Now that we know how to calculate the product of a fraction and a whole number, let us see how fast we can answer these questions.',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-practice-multiplication-2'
)
),
(int) 63 => array(
'activities' => array(
'id' => '532',
'unique_id' => 'm4h5c2t7p7',
'name' => 'Word Problems',
'description' => 'Shall we try solving some fraction multiplication problems that we come across in real life?',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'word-problems-10'
)
),
(int) 64 => array(
'activities' => array(
'id' => '632',
'unique_id' => 'm5h5c1t8p5',
'name' => 'Estimate the result',
'description' => 'Understand the statement given below and use rounding to estimate the result. You can see how rounding makes it easier to estimate the result.',
'keywords' => '',
'submodule_id' => '124',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'estimate-the-result-3'
)
),
(int) 65 => array(
'activities' => array(
'id' => '656',
'unique_id' => 'm5h5c2t8p10',
'name' => 'Find the reciprocal fraction',
'description' => 'In order to divide a whole number by a fraction, you need to find the reciprocal of the fraction and multiply with the whole number.Let us get some practice finding reciprocals of fractions.',
'keywords' => '',
'submodule_id' => '137',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'find-the-reciprocal-fraction-2'
)
),
(int) 66 => array(
'activities' => array(
'id' => '657',
'unique_id' => 'm5h5c2t8p11',
'name' => 'Let us practice division',
'description' => 'Now that we know how to divide a whole number by a fraction, let us get some practice dividing them. Remember that you need to find the reciprocal of the fractions and multiply with the whole number.',
'keywords' => '',
'submodule_id' => '137',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-practice-division-2'
)
),
(int) 67 => array(
'activities' => array(
'id' => '663',
'unique_id' => 'm5h5c2t8p7',
'name' => 'Whole number by fraction division using models',
'description' => 'Let us use some simple examples from everyday life to understand what dividing a whole number by a fraction actually means.',
'keywords' => '',
'submodule_id' => '137',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'whole-number-by-fraction-division-using-models-2'
)
),
(int) 68 => array(
'activities' => array(
'id' => '664',
'unique_id' => 'm5h5c2t8p8',
'name' => 'Find the division statement',
'description' => 'Here we have some fraction division statements shown using some models. Can you identify the statements and find the answers.',
'keywords' => '',
'submodule_id' => '137',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'find-the-division-statement-2'
)
),
(int) 69 => array(
'activities' => array(
'id' => '665',
'unique_id' => 'm5h5c2t8p9',
'name' => 'Divide a chocolate bar',
'description' => 'There are some yummy chocolate bars that have been divided into certain number of pieces. Can you write the fraction division statements corresponding to each situation? ',
'keywords' => '',
'submodule_id' => '137',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'divide-a-chocolate-bar-2'
)
),
(int) 70 => array(
'activities' => array(
'id' => '655',
'unique_id' => 'm5h5c2t8p1',
'name' => 'Let us divide a fraction of Pizza',
'description' => 'I have a fraction of a full pizza and I need to divide this portion equally to some people. Can you help me do this.',
'keywords' => '',
'submodule_id' => '138',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'let-us-divide-a-fraction-of-pizza-2'
)
),
(int) 71 => array(
'activities' => array(
'id' => '658',
'unique_id' => 'm5h5c2t8p2',
'name' => 'Share a portion of the Pie',
'description' => 'I have a portion of a pie that I need divided equally into certain number of slices. Click on the pie pieces to divide them equally and then write the division statement.',
'keywords' => '',
'submodule_id' => '138',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'share-a-portion-of-the-pie-2'
)
),
(int) 72 => array(
'activities' => array(
'id' => '659',
'unique_id' => 'm5h5c2t8p3',
'name' => 'Represent in multiplication form',
'description' => 'In order to divide a fraction by a whole number, you need to multiply the fraction by the reciprocal of the whole number. Let us write the multiplication forms of the following division statements. ',
'keywords' => '',
'submodule_id' => '138',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-in-multiplication-form-2'
)
),
(int) 73 => array(
'activities' => array(
'id' => '660',
'unique_id' => 'm5h5c2t8p4',
'name' => 'Complete the sentence',
'description' => 'Can you complete the division statements and write the answers.',
'keywords' => '',
'submodule_id' => '138',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'complete-the-sentence-2'
)
),
(int) 74 => array(
'activities' => array(
'id' => '661',
'unique_id' => 'm5h5c2t8p5',
'name' => 'Let us practice division',
'description' => 'Let us practice dividing fractions by whole numbers. Remember that you need to multiply by the reciprocal of the number to get the answer.',
'keywords' => '',
'submodule_id' => '138',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-practice-division-3'
)
),
(int) 75 => array(
'activities' => array(
'id' => '662',
'unique_id' => 'm5h5c2t8p6',
'name' => 'Word problems',
'description' => 'Can you understand the following situations and find solutions.',
'keywords' => '',
'submodule_id' => '138',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'word-problems-2'
)
),
(int) 76 => array(
'activities' => array(
'id' => '275',
'unique_id' => 'm3h3c1t3p5',
'name' => 'Conversion between kilometer and meter',
'description' => '1 Kilometer is equal to 1000 meters. Let us convert kilometers into meters and vice versa..',
'keywords' => '',
'submodule_id' => '64',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'conversion-between-kilometer-and-meter-2'
)
),
(int) 77 => array(
'activities' => array(
'id' => '151',
'unique_id' => 'm2h3c1t3p7',
'name' => 'Conversion between meter and centimeter',
'description' => '1 meter is equal to 100 centimeters. Let us see if you can convert between meters and centimeters.',
'keywords' => '',
'submodule_id' => '169',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'conversion-between-meter-and-centimeter-2'
)
),
(int) 78 => array(
'activities' => array(
'id' => '548',
'unique_id' => 'm4h5c4t3p1',
'name' => 'Exploring decimals on a numberline',
'description' => ' As we have seen earlier, each unit has 10 tenths and each tenth has ten hundredths. Let us see how this looks on a number line.',
'keywords' => '',
'submodule_id' => '100',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'exploring-decimals-on-a-numberline-2'
)
),
(int) 79 => array(
'activities' => array(
'id' => '549',
'unique_id' => 'm4h5c4t3p2',
'name' => 'Represent on a numberline',
'description' => 'Let us represent decimals on a number line. Drag the sliders to move on the number line.',
'keywords' => '',
'submodule_id' => '100',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-on-a-numberline-2'
)
),
(int) 80 => array(
'activities' => array(
'id' => '550',
'unique_id' => 'm4h5c4t3p3',
'name' => 'What is the decimal shown?',
'description' => 'Now that we know how to represent decimals on a number line, let us see if we can figure out the decimal number being pointed to. Hint: Look at the starting number on the number line, and count tenths and hundredths as you move along the number line.',
'keywords' => '',
'submodule_id' => '100',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'what-is-the-decimal-shown-2'
)
),
(int) 81 => array(
'activities' => array(
'id' => '551',
'unique_id' => 'm4h5c4t3p4',
'name' => 'Estimate the decimal',
'description' => 'Let us see how good you are at locating decimals on a number line. You will be given a number line with only the beginning and ending numbers. You will be asked to locate a given decimal on the number line. You can click on "show division lines" to make the task easier.',
'keywords' => '',
'submodule_id' => '100',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'estimate-the-decimal-2'
)
),
(int) 82 => array(
'activities' => array(
'id' => '138',
'unique_id' => 'm2h3c1t2p1',
'name' => 'Introduction to Volume',
'description' => 'Two different containers are shown. Now try to find out which holds more water. Reason out why?',
'keywords' => '',
'submodule_id' => '171',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'introduction-to-volume-2'
)
),
(int) 83 => array(
'activities' => array(
'id' => '603',
'unique_id' => 'm5h3c2t1p1',
'name' => 'Can you count the number of cubes',
'description' => ' The space occupied by any three dimensional shape is described in terms of the number of unit cubes occupying the space. Let us count the number of unit cubes to find the space occupied by these boxes.',
'keywords' => '',
'submodule_id' => '149',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'can-you-count-the-number-of-cubes-2'
)
),
(int) 84 => array(
'activities' => array(
'id' => '604',
'unique_id' => 'm5h3c2t1p2',
'name' => 'Let us fill the box with cubes',
'description' => 'Let us find the volumes of the boxes shown by finding out how many unit cubes can be filled into the boxes.',
'keywords' => '',
'submodule_id' => '149',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-fill-the-box-with-cubes-2'
)
),
(int) 85 => array(
'activities' => array(
'id' => '605',
'unique_id' => 'm5h3c2t1p3',
'name' => 'Find the volume of the box',
'description' => 'Now that we have seen that the volume can be found by simply multiplying the length, width and height of the boxes, let us see if we can find the volumes of these boxes.',
'keywords' => '',
'submodule_id' => '149',
'type' => '2',
'imagepath' => '',
'help' => false,
'slug' => 'find-the-volume-of-the-box-2'
)
),
(int) 86 => array(
'activities' => array(
'id' => '606',
'unique_id' => 'm5h3c2t1p4',
'name' => 'Let us compare volumes',
'description' => 'Here we have two boxes filled with unit cubes. Can you find if the box on the left has lesser, greater or equal volume as the box on the right?',
'keywords' => '',
'submodule_id' => '149',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-compare-volumes-2'
)
),
(int) 87 => array(
'activities' => array(
'id' => '607',
'unique_id' => 'm5h3c2t1p5',
'name' => 'Find the correct height',
'description' => 'Upto what height do I need to fill the second box so that both boxes have the same volume? Hint: If I transfer all the cubes from the first box to second box, upto what height will the second box get filled?',
'keywords' => '',
'submodule_id' => '149',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'find-the-correct-height-2'
)
),
(int) 88 => array(
'activities' => array(
'id' => '608',
'unique_id' => 'm5h3c2t1p6',
'name' => 'Relate cube volume to liquid volume',
'description' => 'An unit cube of size 1 cubic cm (which means it has all the sides measuring 1 cm) has a volume of 1 millilitre. Let us drop such cubes into water and see how much water it displaces.',
'keywords' => '',
'submodule_id' => '149',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'relate-cube-volume-to-liquid-volume-2'
)
),
(int) 89 => array(
'activities' => array(
'id' => '1148',
'unique_id' => 'm9h3c1t1p4',
'name' => 'Volume of a Prism',
'description' => 'Volume of any prism can be found by multiplying the area of its cross section by its height. Let us explore..',
'keywords' => 'surface area, volume, prism, rectangular prism, triangular prism',
'submodule_id' => '34',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'volume-of-a-prism-2'
)
),
(int) 90 => array(
'activities' => array(
'id' => '1149',
'unique_id' => 'm9h3c1t1p5',
'name' => 'Volume of a Cylinder',
'description' => 'A Cylinder can be formed by stacking many circles of equal radii on top of each other. The volume of a cylinder can be found by adding the areas of all these circles. Since these circles have the same area, it is equivalent to multiplying the area of one circle by the height of the cylinder',
'keywords' => 'surface area, volume, cylinder, curved surface',
'submodule_id' => '34',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'volume-of-a-cylinder-2'
)
),
(int) 91 => array(
'activities' => array(
'id' => '1150',
'unique_id' => 'm9h3c1t1p6',
'name' => 'Volume of a Cone',
'description' => 'If we fill a cone with any liquid and then pour this liquid into a cylinder with the same base radius and height as the cone, exactly one third of the cylinder will get filled. This shows that the volume of a cone is exactly one third the volume of a cylinder with same base radius and height',
'keywords' => 'surface area, volume, cone, curved surface',
'submodule_id' => '34',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'volume-of-a-cone-2'
)
),
(int) 92 => array(
'activities' => array(
'id' => '1151',
'unique_id' => 'm9h3c1t2p1',
'name' => 'Volume and Surface Areas of Cuboids - Practice',
'description' => 'Let us practice finding the volumes and surface areas of cubes and cuboids.',
'keywords' => 'surface area, volume, cube, cuboid, rectangular prism',
'submodule_id' => '35',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'volume-and-surface-areas-of-cuboids-practice-2'
)
),
(int) 93 => array(
'activities' => array(
'id' => '990',
'unique_id' => 'm8h2c2t1p1',
'name' => 'Find the locations',
'description' => 'Using the arrows, let us help the motor cyclist navigate to the locations in question. As he moves, notice how his X and Y positions change.',
'keywords' => '',
'submodule_id' => '263',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'find-the-locations-2'
)
),
(int) 94 => array(
'activities' => array(
'id' => '991',
'unique_id' => 'm8h2c2t1p2',
'name' => 'Coordinates with Chess board',
'description' => 'During a chess game, the 64 squares on a chess board are denoted using a Coordinate System with letters on the side and numbers on top. Let us see if we can identify some of the squares.',
'keywords' => '',
'submodule_id' => '263',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'coordinates-with-chess-board-2'
)
),
(int) 95 => array(
'activities' => array(
'id' => '992',
'unique_id' => 'm8h2c2t1p3',
'name' => 'Find the missing puzzle pieces',
'description' => 'There are puzzle pieces hidden at different locations. Can you locate the coordinates given and find all the puzzle pieces? ',
'keywords' => '',
'submodule_id' => '263',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'find-the-missing-puzzle-pieces-2'
)
),
(int) 96 => array(
'activities' => array(
'id' => '993',
'unique_id' => 'm8h2c2t1p4',
'name' => 'Relative Coordinates',
'description' => 'Relative coordinates are used to describe a location based on the current location. Let us see if we can identify some locations described relative to a current position.',
'keywords' => '',
'submodule_id' => '263',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'relative-coordinates-2'
)
),
(int) 97 => array(
'activities' => array(
'id' => '299',
'unique_id' => 'm3h4c2t1p1',
'name' => 'Let us play with rectangles',
'description' => 'Let us understand the properties of a rectangle. Drag the corners to increase or decrease the size of the rectangle. Notice that the opposite sides always remain equal and parallel. In addition, notice that all the sides of a rectangle are perpendicular to each other.',
'keywords' => '',
'submodule_id' => '74',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-play-with-rectangles-2'
)
),
(int) 98 => array(
'activities' => array(
'id' => '300',
'unique_id' => 'm3h4c2t1p2',
'name' => 'Special form of rectangle called Square',
'description' => 'A square is a special rectangle with all sides equal. Drag the corners to increase or decrease the size of the square. Notice that it is basically same as a rectangle except for the fact that all sides are always equal.',
'keywords' => '',
'submodule_id' => '74',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'special-form-of-rectangle-called-square-2'
)
),
(int) 99 => array(
'activities' => array(
'id' => '466',
'unique_id' => 'm4h4c2t1p1',
'name' => 'Properties of a Parallelogram',
'description' => 'A parallelogram is very similar to a rectangle, except that the sides are not perpendicular to each other. Drag the vertices of the parallelogram and observe how the parallelogram behaves. What difference do you notice compared to a rectangle?',
'keywords' => '',
'submodule_id' => '115',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-parallelogram-2'
)
),
(int) 100 => array(
'activities' => array(
'id' => '467',
'unique_id' => 'm4h4c2t1p2',
'name' => 'Special form of Parallelogram - Rhombus',
'description' => 'A rhombus is a special case of a parallelogram with all sides equal. You can also think of it as a square with the sides not perpendicular to each other. Drag the vertices of the rhombus and observe it behaves. What difference do you notice compared to a parallelogram and a square? ',
'keywords' => '',
'submodule_id' => '115',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'special-form-of-parallelogram-rhombus-2'
)
),
(int) 101 => array(
'activities' => array(
'id' => '764',
'unique_id' => 'm6h4c1t4p3',
'name' => 'Parallelogram',
'description' => 'A parallelogram is very similar to a rectangle, except that the sides are not perpendicular to each other. Drag the vertices of the parallelogram and observe how the parallelogram behaves. What difference do you notice compared to a rectangle?',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'parallelogram-2'
)
),
(int) 102 => array(
'activities' => array(
'id' => '766',
'unique_id' => 'm6h4c1t4p5',
'name' => 'Trapezium',
'description' => 'A trapezium (also called as trapezoid) has 4 sides, out of which two are always parallel to each other. Drag the vertices of the trapezium to observe how it behaves. What shape do you get if you make the other two sides also parallel?',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'trapezium-2'
)
),
(int) 103 => array(
'activities' => array(
'id' => '765',
'unique_id' => 'm6h4c1t4p4',
'name' => 'Rhombus',
'description' => 'A rhombus is a special case of a parallelogram with all sides equal. You can also think of it as a square with the sides not perpendicular to each other. Drag the vertices of the rhombus and observe how it behaves. What difference do you notice compared to a parallelogram and a square? ',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'rhombus-2'
)
),
(int) 104 => array(
'activities' => array(
'id' => '762',
'unique_id' => 'm6h4c1t4p1',
'name' => 'Rectangle',
'description' => 'Let us understand the properties of a rectangle. Drag the corners to increase or decrease the size of the rectangle. Notice that the opposite sides always remain equal and parallel. In addition, notice that all the sides of a rectangle are perpendicular to each other.',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'rectangle-2'
)
),
(int) 105 => array(
'activities' => array(
'id' => '763',
'unique_id' => 'm6h4c1t4p2',
'name' => 'Square',
'description' => 'A square is a special rectangle with all sides equal. Drag the corners to increase or decrease the size of the square. Notice that it is basically same as a rectangle except for the fact that all sides are always equal.',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'square-2'
)
),
(int) 106 => array(
'activities' => array(
'id' => '1001',
'unique_id' => 'm8h4c1t1p2',
'name' => 'Properties of a Paralellogram',
'description' => 'Let us understand the properties of the sides, angles and diagonals of a parallelogram.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-paralellogram-2'
)
),
(int) 107 => array(
'activities' => array(
'id' => '1002',
'unique_id' => 'm8h4c1t1p3',
'name' => 'Properties of a Rhombus',
'description' => 'Rhombus is a special case of a Parallelogram where all the sides are equal. Let us understand the properties of the sides, angles and diagonals of a Rhombus.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-rhombus-2'
)
),
(int) 108 => array(
'activities' => array(
'id' => '1003',
'unique_id' => 'm8h4c1t1p4',
'name' => 'Properties of a kite',
'description' => 'Kite is a special quadrilateral where one pair of adjacent sides are equal. Let us understand the properties of the sides, angles and diagonals of a Kite.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-kite-2'
)
),
(int) 109 => array(
'activities' => array(
'id' => '1004',
'unique_id' => 'm8h4c1t1p5',
'name' => 'Properties of a trapezium',
'description' => 'Trapezium has one pair of opposite sides parallel. Let us understand the properties of the sides, angles and diagonals of a Trapezium.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-trapezium-3'
)
),
(int) 110 => array(
'activities' => array(
'id' => '1209',
'unique_id' => 'm9h4c6t1p4',
'name' => 'Properties of a Parallelogram - Practice',
'description' => 'Let us see how much you have understood the various properties of a parallelogram. Use the properties to answer the questions in this activity..',
'keywords' => 'parallelogram, diagonals, properties',
'submodule_id' => '47',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-parallelogram-practice-2'
)
),
(int) 111 => array(
'activities' => array(
'id' => '1211',
'unique_id' => 'm9h4c6t1p6',
'name' => 'Properties of a Rhombus - Practice',
'description' => 'Use the properties of Rhombus to answer the questions in this activity..',
'keywords' => 'rhombus, diagonals, properties',
'submodule_id' => '47',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-rhombus-practice-2'
)
)
)
\$checkCombat = array(
(int) 0 => array(
'Activity' => array(
'unique_id' => 'm1ah5c1t3pa2p8'
)
),
(int) 1 => array(
'Activity' => array(
'unique_id' => 'm1h5c1t1p6'
)
),
(int) 2 => array(
'Activity' => array(
'unique_id' => 'm1h5c1t2p9'
)
),
(int) 3 => array(
'Activity' => array(
'unique_id' => 'm2h5c1t4p6a'
)
),
(int) 4 => array(
'Activity' => array(
'unique_id' => 'm3h5c1t12p5'
)
),
(int) 5 => array(
'Activity' => array(
'unique_id' => 'mh4c1t4p10'
)
),
(int) 6 => array(
'Activity' => array(
'unique_id' => 'mh4c1t4p9'
)
),
(int) 7 => array(
'Activity' => array(
'unique_id' => 'm6h4c1t1p5'
)
),
(int) 8 => array(
'Activity' => array(
'unique_id' => 'm6h4c1t3p6'
)
),
(int) 9 => array(
'Activity' => array(
'unique_id' => 'm6h4c1t5p5'
)
),
(int) 10 => array(
'Activity' => array(
'unique_id' => 'm7h4c3t1p10'
)
),
(int) 11 => array(
'Activity' => array(
'unique_id' => 'm9h16c1t1p5'
)
),
(int) 12 => array(
'Activity' => array(
'unique_id' => 'm9h1c1t1p12'
)
),
(int) 13 => array(
'Activity' => array(
'unique_id' => 'm9h1c1t2p8'
)
),
(int) 14 => array(
'Activity' => array(
'unique_id' => 'm9h2c1t1p9'
)
),
(int) 15 => array(
'Activity' => array(
'unique_id' => 'm9h2c1t2p12'
)
),
(int) 16 => array(
'Activity' => array(
'unique_id' => 'm9h2c1t3p9'
)
),
(int) 17 => array(
'Activity' => array(
'unique_id' => 'm9h4c1t1p6'
)
),
(int) 18 => array(
'Activity' => array(
'unique_id' => 'm9h4c3t1p5'
)
),
(int) 19 => array(
'Activity' => array(
'unique_id' => 'm9h4c3t2p6'
)
),
(int) 20 => array(
'Activity' => array(
'unique_id' => 'm9h4c4t1p6'
)
),
(int) 21 => array(
'Activity' => array(
'unique_id' => 'm10h15c1t1p10'
)
),
(int) 22 => array(
'Activity' => array(
'unique_id' => 'm10h16c1t1p6'
)
),
(int) 23 => array(
'Activity' => array(
'unique_id' => 'm10h2c1t1p9'
)
),
(int) 24 => array(
'Activity' => array(
'unique_id' => 'm10h4c4t1p11'
)
)
)
\$MATHLATHON_DOMAIN = 'www.mathlathon.org'
\$country_id = '1'
\$countries_list = array(
(int) 0 => array(
'Country' => array(
'id' => '1',
'name' => 'United States'
)
),
(int) 1 => array(
'Country' => array(
'id' => '82',
'name' => 'India'
)
)
)
\$MEDIA_URL = ''
\$xml = object(SimpleXMLElement) {
mainTopic => array(
(int) 0 => object(SimpleXMLElement) {},
(int) 1 => object(SimpleXMLElement) {},
(int) 2 => object(SimpleXMLElement) {},
(int) 3 => object(SimpleXMLElement) {},
(int) 4 => object(SimpleXMLElement) {}
)
}
\$cnt = (int) 1
\$keyCounter = false
\$mainTopic = object(SimpleXMLElement) {
@attributes => array(
'desc' => '5.OA Operations and Algebraic Thinking '
)
subTopic => array(
(int) 0 => object(SimpleXMLElement) {},
(int) 1 => object(SimpleXMLElement) {}
)
}
\$stcnt = (int) 0
\$subTopic = object(SimpleXMLElement) {
@attributes => array(
'desc' => '5 Analyze patterns and relationships. '
)
topic => object(SimpleXMLElement) {}
}
\$tcnt = (int) 1
\$subtopicList = array(
'@attributes' => array(
'desc' => '5 Analyze patterns and relationships. '
),
'topic' => array(
'@attributes' => array(
'desc' => '5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. '
),
(int) 0 => ''
)
)
\$value = array(
'@attributes' => array(
'desc' => '5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. '
),
(int) 0 => ''
)
\$key = 'topic'
\$topiclist = array(
'desc' => '5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. '
)
\$count_temp1 = (int) 0
\$activityList = array(
(int) 0 => 'm5h5c1t6p1'
)
\$combateTrue = false
\$activity_id = array(
(int) 0 => 'm5h5c1t6p1',
(int) 1 => 'm5h5c1t6p2',
(int) 2 => 'm5h5c1t6p3',
(int) 3 => 'm5h5c1t6p4',
(int) 4 => 'm5h5c1t6p5',
(int) 5 => array(
(int) 0 => 'm5h5c1t6p1'
)
)
\$act_type = 'learn'
\$img_path = '-'
\$help_flg = (int) 0
\$act_slug = 'why-order-of-operations-is-important-2'
\$act_id = '618'
\$open_activity = 'samplelessons'
\$tempflg = array(
(int) 0 => 'm5h5c1t6p1'
)
\$temp_topic = array(
(int) 0 => array(
(int) 0 => 'm5h5c1t6p1'
)
View::_evaluate() - CORE/Cake/View/View.php, line 948
View::_render() - CORE/Cake/View/View.php, line 910
View::_renderElement() - CORE/Cake/View/View.php, line 1213
View::element() - CORE/Cake/View/View.php, line 418
View::_evaluate() - CORE/Cake/View/View.php, line 948
View::_render() - CORE/Cake/View/View.php, line 910
View::render() - CORE/Cake/View/View.php, line 471
Controller::render() - CORE/Cake/Controller/Controller.php, line 954
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 198
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - ROOT/www/mathbuddy/index.php, line 117```
• ```Warning (2): Illegal string offset '@attributes' [APP/View/Curriculums/reload_curriculum.ctp, line 126]Code Context```                                { ?>
```
```
```
```                                <li style="list-style:none;" id='topic_<?php echo \$cnt;?>_<?php echo \$stcnt;?>_<?php echo ++\$tcnt;?>'><a href='#' class='black'><?php echo \$topiclist['@attributes']['desc'] ?></a>
\$dataForView = array(
'notawailable' => true,
'free' => true,
'table1' => 'activities',
'activity_index' => array(
(int) 0 => 'm5h5c1t6p1',
(int) 1 => 'm5h5c1t6p2',
(int) 2 => 'm5h5c1t6p3',
(int) 3 => 'm5h5c1t6p4',
(int) 4 => 'm5h5c1t6p5',
(int) 5 => 'm5h5c1t1p1',
(int) 6 => 'm5h5c1t1p2',
(int) 7 => 'm5h5c1t1p3',
(int) 8 => 'm5h5c1t1p4',
(int) 9 => 'm5h5c1t1p5',
(int) 10 => 'm5h5c1t1p6',
(int) 11 => 'm5h5c1t1p7',
(int) 12 => 'm5h5c1t1p8',
(int) 13 => 'm5h5c4t1p1',
(int) 14 => 'm5h5c4t1p2',
(int) 15 => 'm5h5c4t1p4',
(int) 16 => 'm3h5c1t13p1',
(int) 17 => 'm3h5c1t13p2',
(int) 18 => 'm3h5c1t13p3',
(int) 19 => 'm7h7c1t3p1',
(int) 20 => 'm5h5c4t1p3',
(int) 21 => 'm5h5c4t1p5',
(int) 22 => 'm5h5c4t1p6',
(int) 23 => 'm4h5c4t2p1',
(int) 24 => 'm4h5c4t2p2',
(int) 25 => 'm4h5c4t2p3',
(int) 26 => 'm4h5c4t2p4',
(int) 27 => 'm4h5c4t2p5',
(int) 28 => 'm4h5c4t3p5',
(int) 29 => 'm4h5c1t4p5',
(int) 30 => 'm5h5c4t6p1',
(int) 31 => 'm5h5c4t6p2',
(int) 32 => 'm4h5c1t5p1',
(int) 33 => 'm4h5c1t5p2',
(int) 34 => 'm5h5c1t5p2',
(int) 35 => 'm4h5c4t4p1',
(int) 36 => 'm4h5c4t4p2',
(int) 37 => 'm4h5c4t4p3',
(int) 38 => 'm4h5c4t4p4',
(int) 39 => 'm4h5c4t4p5',
(int) 40 => 'm4h5c4t4p6',
(int) 41 => 'm5h5c2t5p1',
(int) 42 => 'm5h5c2t5p2',
(int) 43 => 'm5h5c2t5p3',
(int) 44 => 'm5h5c2t6p1',
(int) 45 => 'm5h5c2t6p2',
(int) 46 => 'm5h5c2t5p3b',
(int) 47 => 'm5h5c2t6p4',
(int) 48 => 'm5h5c2t6p3',
(int) 49 => 'm5h5c2t5p3a',
(int) 50 => 'mh5c2t4p1',
(int) 51 => 'mh5c2t4p2',
(int) 52 => 'mh5c2t4p3',
(int) 53 => 'mh5c2t4p4',
(int) 54 => 'mh5c2t4p5',
(int) 55 => 'mh5c2t4p6',
(int) 56 => 'm4h5c2t7p1',
(int) 57 => 'm4h5c2t7p2',
(int) 58 => 'm4h5c2t7p3',
(int) 59 => 'm4h5c2t7p4',
(int) 60 => 'm4h5c2t7p5',
(int) 61 => 'm4h5c2t7p5a',
(int) 62 => 'm4h5c2t7p6',
(int) 63 => 'm4h5c2t7p7',
(int) 64 => 'm5h5c1t8p5',
(int) 65 => 'm5h5c2t8p10',
(int) 66 => 'm5h5c2t8p11',
(int) 67 => 'm5h5c2t8p7',
(int) 68 => 'm5h5c2t8p8',
(int) 69 => 'm5h5c2t8p9',
(int) 70 => 'm5h5c2t8p1',
(int) 71 => 'm5h5c2t8p2',
(int) 72 => 'm5h5c2t8p3',
(int) 73 => 'm5h5c2t8p4',
(int) 74 => 'm5h5c2t8p5',
(int) 75 => 'm5h5c2t8p6',
(int) 76 => 'm3h3c1t3p5',
(int) 77 => 'm2h3c1t3p7',
(int) 78 => 'm4h5c4t3p1',
(int) 79 => 'm4h5c4t3p2',
(int) 80 => 'm4h5c4t3p3',
(int) 81 => 'm4h5c4t3p4',
(int) 82 => 'm2h3c1t2p1',
(int) 83 => 'm5h3c2t1p1',
(int) 84 => 'm5h3c2t1p2',
(int) 85 => 'm5h3c2t1p3',
(int) 86 => 'm5h3c2t1p4',
(int) 87 => 'm5h3c2t1p5',
(int) 88 => 'm5h3c2t1p6',
(int) 89 => 'm9h3c1t1p4',
(int) 90 => 'm9h3c1t1p5',
(int) 91 => 'm9h3c1t1p6',
(int) 92 => 'm9h3c1t2p1',
(int) 93 => 'm8h2c2t1p1',
(int) 94 => 'm8h2c2t1p2',
(int) 95 => 'm8h2c2t1p3',
(int) 96 => 'm8h2c2t1p4',
(int) 97 => 'm3h4c2t1p1',
(int) 98 => 'm3h4c2t1p2',
(int) 99 => 'm4h4c2t1p1',
(int) 100 => 'm4h4c2t1p2',
(int) 101 => 'm6h4c1t4p3',
(int) 102 => 'm6h4c1t4p5',
(int) 103 => 'm6h4c1t4p4',
(int) 104 => 'm6h4c1t4p1',
(int) 105 => 'm6h4c1t4p2',
(int) 106 => 'm8h4c1t1p2',
(int) 107 => 'm8h4c1t1p3',
(int) 108 => 'm8h4c1t1p4',
(int) 109 => 'm8h4c1t1p5',
(int) 110 => 'm9h4c6t1p4',
(int) 111 => 'm9h4c6t1p6'
),
'activity_details' => array(
(int) 0 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 1 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 2 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 3 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 4 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 5 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 6 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 7 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 8 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 9 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 10 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 11 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 12 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 13 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 14 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 15 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 16 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 17 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 18 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 19 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 20 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 21 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 22 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 23 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 24 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 25 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 26 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 27 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 28 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 29 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 30 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 31 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 32 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 33 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 34 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 35 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 36 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 37 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 38 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 39 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 40 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 41 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 42 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 43 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 44 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 45 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 46 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 47 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 48 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 49 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 50 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 51 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 52 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 53 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 54 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 55 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 56 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 57 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 58 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 59 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 60 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 61 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 62 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 63 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 64 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 65 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 66 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 67 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 68 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 69 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 70 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 71 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 72 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 73 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 74 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 75 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 76 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 77 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 78 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 79 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 80 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 81 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 82 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 83 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 84 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 85 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 86 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 87 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 88 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 89 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 90 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 91 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 92 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 93 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 94 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 95 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 96 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 97 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 98 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 99 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 100 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 101 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 102 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 103 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 104 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 105 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 106 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 107 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 108 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 109 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 110 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 111 => array(
'activities' => array(
[maximum depth reached]
)
)
),
'checkCombat' => array(
(int) 0 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 1 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 2 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 3 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 4 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 5 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 6 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 7 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 8 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 9 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 10 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 11 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 12 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 13 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 14 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 15 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 16 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 17 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 18 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 19 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 20 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 21 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 22 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 23 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 24 => array(
'Activity' => array(
[maximum depth reached]
)
)
),
'MATHLATHON_DOMAIN' => 'www.mathlathon.org',
'country_id' => '1',
'countries_list' => array(
(int) 0 => array(
'Country' => array(
[maximum depth reached]
)
),
(int) 1 => array(
'Country' => array(
[maximum depth reached]
)
)
),
'MEDIA_URL' => ''
)
\$notawailable = true
\$free = true
\$table1 = 'activities'
\$activity_index = array(
(int) 0 => 'm5h5c1t6p1',
(int) 1 => 'm5h5c1t6p2',
(int) 2 => 'm5h5c1t6p3',
(int) 3 => 'm5h5c1t6p4',
(int) 4 => 'm5h5c1t6p5',
(int) 5 => 'm5h5c1t1p1',
(int) 6 => 'm5h5c1t1p2',
(int) 7 => 'm5h5c1t1p3',
(int) 8 => 'm5h5c1t1p4',
(int) 9 => 'm5h5c1t1p5',
(int) 10 => 'm5h5c1t1p6',
(int) 11 => 'm5h5c1t1p7',
(int) 12 => 'm5h5c1t1p8',
(int) 13 => 'm5h5c4t1p1',
(int) 14 => 'm5h5c4t1p2',
(int) 15 => 'm5h5c4t1p4',
(int) 16 => 'm3h5c1t13p1',
(int) 17 => 'm3h5c1t13p2',
(int) 18 => 'm3h5c1t13p3',
(int) 19 => 'm7h7c1t3p1',
(int) 20 => 'm5h5c4t1p3',
(int) 21 => 'm5h5c4t1p5',
(int) 22 => 'm5h5c4t1p6',
(int) 23 => 'm4h5c4t2p1',
(int) 24 => 'm4h5c4t2p2',
(int) 25 => 'm4h5c4t2p3',
(int) 26 => 'm4h5c4t2p4',
(int) 27 => 'm4h5c4t2p5',
(int) 28 => 'm4h5c4t3p5',
(int) 29 => 'm4h5c1t4p5',
(int) 30 => 'm5h5c4t6p1',
(int) 31 => 'm5h5c4t6p2',
(int) 32 => 'm4h5c1t5p1',
(int) 33 => 'm4h5c1t5p2',
(int) 34 => 'm5h5c1t5p2',
(int) 35 => 'm4h5c4t4p1',
(int) 36 => 'm4h5c4t4p2',
(int) 37 => 'm4h5c4t4p3',
(int) 38 => 'm4h5c4t4p4',
(int) 39 => 'm4h5c4t4p5',
(int) 40 => 'm4h5c4t4p6',
(int) 41 => 'm5h5c2t5p1',
(int) 42 => 'm5h5c2t5p2',
(int) 43 => 'm5h5c2t5p3',
(int) 44 => 'm5h5c2t6p1',
(int) 45 => 'm5h5c2t6p2',
(int) 46 => 'm5h5c2t5p3b',
(int) 47 => 'm5h5c2t6p4',
(int) 48 => 'm5h5c2t6p3',
(int) 49 => 'm5h5c2t5p3a',
(int) 50 => 'mh5c2t4p1',
(int) 51 => 'mh5c2t4p2',
(int) 52 => 'mh5c2t4p3',
(int) 53 => 'mh5c2t4p4',
(int) 54 => 'mh5c2t4p5',
(int) 55 => 'mh5c2t4p6',
(int) 56 => 'm4h5c2t7p1',
(int) 57 => 'm4h5c2t7p2',
(int) 58 => 'm4h5c2t7p3',
(int) 59 => 'm4h5c2t7p4',
(int) 60 => 'm4h5c2t7p5',
(int) 61 => 'm4h5c2t7p5a',
(int) 62 => 'm4h5c2t7p6',
(int) 63 => 'm4h5c2t7p7',
(int) 64 => 'm5h5c1t8p5',
(int) 65 => 'm5h5c2t8p10',
(int) 66 => 'm5h5c2t8p11',
(int) 67 => 'm5h5c2t8p7',
(int) 68 => 'm5h5c2t8p8',
(int) 69 => 'm5h5c2t8p9',
(int) 70 => 'm5h5c2t8p1',
(int) 71 => 'm5h5c2t8p2',
(int) 72 => 'm5h5c2t8p3',
(int) 73 => 'm5h5c2t8p4',
(int) 74 => 'm5h5c2t8p5',
(int) 75 => 'm5h5c2t8p6',
(int) 76 => 'm3h3c1t3p5',
(int) 77 => 'm2h3c1t3p7',
(int) 78 => 'm4h5c4t3p1',
(int) 79 => 'm4h5c4t3p2',
(int) 80 => 'm4h5c4t3p3',
(int) 81 => 'm4h5c4t3p4',
(int) 82 => 'm2h3c1t2p1',
(int) 83 => 'm5h3c2t1p1',
(int) 84 => 'm5h3c2t1p2',
(int) 85 => 'm5h3c2t1p3',
(int) 86 => 'm5h3c2t1p4',
(int) 87 => 'm5h3c2t1p5',
(int) 88 => 'm5h3c2t1p6',
(int) 89 => 'm9h3c1t1p4',
(int) 90 => 'm9h3c1t1p5',
(int) 91 => 'm9h3c1t1p6',
(int) 92 => 'm9h3c1t2p1',
(int) 93 => 'm8h2c2t1p1',
(int) 94 => 'm8h2c2t1p2',
(int) 95 => 'm8h2c2t1p3',
(int) 96 => 'm8h2c2t1p4',
(int) 97 => 'm3h4c2t1p1',
(int) 98 => 'm3h4c2t1p2',
(int) 99 => 'm4h4c2t1p1',
(int) 100 => 'm4h4c2t1p2',
(int) 101 => 'm6h4c1t4p3',
(int) 102 => 'm6h4c1t4p5',
(int) 103 => 'm6h4c1t4p4',
(int) 104 => 'm6h4c1t4p1',
(int) 105 => 'm6h4c1t4p2',
(int) 106 => 'm8h4c1t1p2',
(int) 107 => 'm8h4c1t1p3',
(int) 108 => 'm8h4c1t1p4',
(int) 109 => 'm8h4c1t1p5',
(int) 110 => 'm9h4c6t1p4',
(int) 111 => 'm9h4c6t1p6'
)
\$activity_details = array(
(int) 0 => array(
'activities' => array(
'id' => '618',
'unique_id' => 'm5h5c1t6p1',
'name' => 'Why order of operations is important',
'description' => 'Did you know that the order in which you do the operations matters? Let us see some examples and understand how we can find the correct order.',
'keywords' => '',
'submodule_id' => '125',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'why-order-of-operations-is-important-2'
)
),
(int) 1 => array(
'activities' => array(
'id' => '619',
'unique_id' => 'm5h5c1t6p2',
'name' => 'Place the brackets',
'description' => 'Can you drag and place these parentheses at the correct place to tell which operation needs to be done first to get the number given?',
'keywords' => '',
'submodule_id' => '125',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'place-the-brackets-2'
)
),
(int) 2 => array(
'activities' => array(
'id' => '620',
'unique_id' => 'm5h5c1t6p3',
'name' => 'Click on the symbols in the correct order',
'description' => 'Click on the symbol that needs to be evaluated first in this expression. Remember the order: PEMDAS - Parentheses, Exponents, Division - Multiplication from left to right, Addition - Subtraction from left to right.',
'keywords' => '',
'submodule_id' => '125',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'click-on-the-symbols-in-the-correct-order-2'
)
),
(int) 3 => array(
'activities' => array(
'id' => '621',
'unique_id' => 'm5h5c1t6p4',
'name' => 'Drag and place the numbers',
'description' => 'Drag the numbers into the correct boxes to get the number on the right. Remember PEMDAS - Parentheses, Exponents, Division - Multiplication from left to right, Addition - Subtraction from left to right.',
'keywords' => '',
'submodule_id' => '125',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'drag-and-place-the-numbers-2'
)
),
(int) 4 => array(
'activities' => array(
'id' => '622',
'unique_id' => 'm5h5c1t6p5',
'name' => 'Fit the numbers and symbols',
'description' => 'Now, let us see if we can drag the numbers and the symbols into the correct boxes to get the number on the right.',
'keywords' => '',
'submodule_id' => '125',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fit-the-numbers-and-symbols-2'
)
),
(int) 5 => array(
'activities' => array(
'id' => '569',
'unique_id' => 'm5h5c1t1p1',
'name' => 'Representing numbers in Millions',
'description' => 'What is a Million? We have seen what a hundred thousand represents. If you add ten hundred thousand, you get a Million. ',
'keywords' => '',
'submodule_id' => '77',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'representing-numbers-in-millions-2'
)
),
(int) 6 => array(
'activities' => array(
'id' => '570',
'unique_id' => 'm5h5c1t1p2',
'name' => 'Let us identify the number',
'description' => 'Can you identify the number represented here using Dominos?',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-identify-the-number'
)
),
(int) 7 => array(
'activities' => array(
'id' => '571',
'unique_id' => 'm5h5c1t1p3',
'name' => 'Represent the number using Dominos',
'description' => 'Click on the Dominos at the top of the tubes to represent the number shown.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-the-number-using-dominos-2'
)
),
(int) 8 => array(
'activities' => array(
'id' => '572',
'unique_id' => 'm5h5c1t1p4',
'name' => 'What does the number represent?',
'description' => 'Let us expand the number and write it. Look carefully at the question being asked.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'what-does-the-number-represent-2'
)
),
(int) 9 => array(
'activities' => array(
'id' => '573',
'unique_id' => 'm5h5c1t1p5',
'name' => 'Standard and expanded forms',
'description' => 'Let us practice writing numbers in their expanded form and standard (numeral) form.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'standard-and-expanded-forms'
)
),
(int) 10 => array(
'activities' => array(
'id' => '574',
'unique_id' => 'm5h5c1t1p6',
'name' => 'Write in Numerals',
'description' => 'Here, we have a number written in its expanded word form. Can you write its numeral form?',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-in-numerals-2'
)
),
(int) 11 => array(
'activities' => array(
'id' => '575',
'unique_id' => 'm5h5c1t1p7',
'name' => 'Identify the place value',
'description' => 'Can you identify the place value of the underlined digit. This could be ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions or ten millions. ',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'identify-the-place-value-4'
)
),
(int) 12 => array(
'activities' => array(
'id' => '576',
'unique_id' => 'm5h5c1t1p8',
'name' => 'Conversion exercises',
'description' => 'Now that we know how to represent numbers in millions, let us see if we can answer the following questions.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'conversion-exercises-2'
)
),
(int) 13 => array(
'activities' => array(
'id' => '673',
'unique_id' => 'm5h5c4t1p1',
'name' => 'Let us represent one thousandth of a unit',
'description' => 'When an object gets divided into thousand portions, each portion is called one-thousandth of the object. Let us understand how to represent this in decimal form.',
'keywords' => '',
'submodule_id' => '139',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'let-us-represent-one-thousandth-of-a-unit-2'
)
),
(int) 14 => array(
'activities' => array(
'id' => '674',
'unique_id' => 'm5h5c4t1p2',
'name' => 'Measurement units and their Decimal form',
'description' => 'We use decimals to represent the commonly represented measurement units. Let us see how we can do this.',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'measurement-units-and-their-decimal-form-2'
)
),
(int) 15 => array(
'activities' => array(
'id' => '676',
'unique_id' => 'm5h5c4t1p4',
'name' => 'Identify the place value',
'description' => 'Can you tell me the place value of the digit highlighted in red color?',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'identify-the-place-value-5'
)
),
(int) 16 => array(
'activities' => array(
'id' => '332',
'unique_id' => 'm3h5c1t13p1',
'name' => 'Multiply any number by 10',
'description' => 'In this activity you will be asked to multiply simple numbers using the number 10. You will observe a pattern and then will be able to see how easy it is to multiply any number by 10 without much effort.',
'keywords' => '',
'submodule_id' => '33',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'multiply-any-number-by-10-2'
)
),
(int) 17 => array(
'activities' => array(
'id' => '333',
'unique_id' => 'm3h5c1t13p2',
'name' => 'How to easily multiply any number by 100?',
'description' => 'In this activity you will learn how easy it is to multiply any number by 100 without much difficulty. You will see a pattern and will be able to multiply any number by 100 within seconds',
'keywords' => '',
'submodule_id' => '33',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'how-to-easily-multiply-any-number-by-100-2'
)
),
(int) 18 => array(
'activities' => array(
'id' => '334',
'unique_id' => 'm3h5c1t13p3',
'name' => 'Simplify the numbers and multiply',
'description' => 'How do you multiply bigger numbers easily. You just have to split the numbers and multiply them. This activity will teach you how to do this.',
'keywords' => '',
'submodule_id' => '33',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'simplify-the-numbers-and-multiply-2'
)
),
(int) 19 => array(
'activities' => array(
'id' => '978',
'unique_id' => 'm7h7c1t3p1',
'name' => 'Pick the correct option that shows scientific notation',
'description' => 'Are you familiar with scientific notation? This skill activity will test to see if you have understood the scientific notation.',
'keywords' => '',
'submodule_id' => '228',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'pick-the-correct-option-that-shows-scientific-notation-2'
)
),
(int) 20 => array(
'activities' => array(
'id' => '675',
'unique_id' => 'm5h5c4t1p3',
'name' => 'Represent the picture in decimals',
'description' => 'Look at the picture and determine what fraction is represented here.',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-the-picture-in-decimals-3'
)
),
(int) 21 => array(
'activities' => array(
'id' => '677',
'unique_id' => 'm5h5c4t1p5',
'name' => 'Expand the Decimal number',
'description' => 'Let us see how much you have understood about decimals. Can you write the expanded form of these decimals?',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'expand-the-decimal-number-3'
)
),
(int) 22 => array(
'activities' => array(
'id' => '678',
'unique_id' => 'm5h5c4t1p6',
'name' => 'Fraction as a decimal and vice versa',
'description' => 'Any fraction can be written in decimal form and any decimal can be written in the form of a fraction. Here, let us write some decimals in fraction form and vice versa.',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-as-a-decimal-and-vice-versa-3'
)
),
(int) 23 => array(
'activities' => array(
'id' => '543',
'unique_id' => 'm4h5c4t2p1',
'name' => 'Equivalent Decimals',
'description' => 'We have learnt about equivalent fractions earlier. Adding zeros at the end of a decimal number creates equivalent decimals. Let us understand what this means and how these are useful.',
'keywords' => '',
'submodule_id' => '99',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'equivalent-decimals-2'
)
),
(int) 24 => array(
'activities' => array(
'id' => '544',
'unique_id' => 'm4h5c4t2p2',
'name' => 'Place Value Balance',
'description' => 'Can you click on place value blocks and try to balance the decimals on both sides of the place value balance? Notice that the balance tilts to the side that contains the bigger value.',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'place-value-balance-2'
)
),
(int) 25 => array(
'activities' => array(
'id' => '545',
'unique_id' => 'm4h5c4t2p3',
'name' => 'Decimal comparison using a numberline',
'description' => 'We can use numberlines to represent and compare decimals. Drag the numberline to represent the decimals and compare them. ',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'decimal-comparison-using-a-numberline-2'
)
),
(int) 26 => array(
'activities' => array(
'id' => '546',
'unique_id' => 'm4h5c4t2p4',
'name' => 'Comparison of decimals - Skill Practice',
'description' => 'Now that we know how to compare decimals, let us see how fast we can compare them.',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'comparison-of-decimals-skill-practice-2'
)
),
(int) 27 => array(
'activities' => array(
'id' => '547',
'unique_id' => 'm4h5c4t2p5',
'name' => 'Arrange the decimals',
'description' => 'Can you drag and arrange the decimals on the numberline in increasing order.',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'arrange-the-decimals-2'
)
),
(int) 28 => array(
'activities' => array(
'id' => '552',
'unique_id' => 'm4h5c4t3p5',
'name' => 'Rounding of decimals using numberline',
'description' => 'Often we round off decimals to the nearest tenths or nearest unit, to make life easier when adding or subtracting decimals. For example, when we are at a grocery store, we can estimate the approximate cost if we round off the coins to the nearest dollar.',
'keywords' => '',
'submodule_id' => '100',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'rounding-of-decimals-using-numberline-2'
)
),
(int) 29 => array(
'activities' => array(
'id' => '504',
'unique_id' => 'm4h5c1t4p5',
'name' => 'Story Problems',
'description' => 'Let us see if you can understand the word problems and solve them. Try to use the properties of multiplication where possible.',
'keywords' => '',
'submodule_id' => '89',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'story-problems-2'
)
),
(int) 30 => array(
'activities' => array(
'id' => '679',
'unique_id' => 'm5h5c4t6p1',
'name' => 'Understand Multiplication of Decimals',
'description' => 'Let us use a block model to represent and understand multiplication of decimals. Drag the sliders to represent the two decimals to be multiplied, and add up the number of units, tenths and hundredths to get the result.',
'keywords' => '',
'submodule_id' => '140',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'understand-multiplication-of-decimals-2'
)
),
(int) 31 => array(
'activities' => array(
'id' => '680',
'unique_id' => 'm5h5c4t6p2',
'name' => 'Place the Decimals',
'description' => 'When we multiply two decimal numbers, you can simply ignore the decimals and multiply the numbers, and then place the decimal in the result at the correct location. Let us see how.',
'keywords' => '',
'submodule_id' => '140',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'place-the-decimals-2'
)
),
(int) 32 => array(
'activities' => array(
'id' => '505',
'unique_id' => 'm4h5c1t5p1',
'name' => 'Divide using array model',
'description' => 'We used array model earlier in multiplication. Let us see if we can use array model for division also.. Click on the arrows to increase or decrease the number of rows in the array model. ',
'keywords' => '',
'submodule_id' => '85',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'divide-using-array-model-3'
)
),
(int) 33 => array(
'activities' => array(
'id' => '506',
'unique_id' => 'm4h5c1t5p2',
'name' => 'Divide using place value dominos',
'description' => 'Let us represent numbers using place value dominos and try to divide them. If the dominos cannot be equally divided into the bins, you need to break them into smaller place values. ',
'keywords' => '',
'submodule_id' => '85',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'divide-using-place-value-dominos-3'
)
),
(int) 34 => array(
'activities' => array(
'id' => '616',
'unique_id' => 'm5h5c1t5p2',
'name' => 'Long division Practice(4 digits by 2 digits)',
'description' => 'Now that we know how to divide a 4 digit number by a 1 digit number, let us practice dividing a 4 digit number by a 2 digit number using long division method.',
'keywords' => '',
'submodule_id' => '121',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'long-division-practice-4-digits-by-2-digits-2'
)
),
(int) 35 => array(
'activities' => array(
'id' => '553',
'unique_id' => 'm4h5c4t4p1',
'name' => 'How much money do I have?',
'description' => 'Can you add up the coins and represent the amount of money in decimal form? As you know, 100 cents equals 1 dollar. You can exchange coins worth 100 cents into 1 dollar by dragging them into the bank.',
'keywords' => '',
'submodule_id' => '101',
'type' => '1',
'imagepath' => 'currency-us',
'help' => true,
'slug' => 'how-much-money-do-i-have-2'
)
),
(int) 36 => array(
'activities' => array(
'id' => '554',
'unique_id' => 'm4h5c4t4p2',
'name' => 'Let us add some money',
'description' => 'I have some money in my wallet. My friend David has some money in his wallet. How much money do we have together?',
'keywords' => '',
'submodule_id' => '101',
'type' => '2',
'imagepath' => 'currency-us',
'help' => true,
)
),
(int) 37 => array(
'activities' => array(
'id' => '555',
'unique_id' => 'm4h5c4t4p3',
'name' => 'Addition using place value blocks',
'description' => 'There are two decimals represented by place value blocks. Can you click on the blocks to add them and find the result?',
'keywords' => '',
'submodule_id' => '101',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 38 => array(
'activities' => array(
'id' => '556',
'unique_id' => 'm4h5c4t4p4',
'name' => 'Addition using decimal squares',
'description' => 'Let us represent the decimals on the decimal squares by dragging the sliders and then add them together by clicking on the "Add" button.',
'keywords' => '',
'submodule_id' => '101',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 39 => array(
'activities' => array(
'id' => '557',
'unique_id' => 'm4h5c4t4p5',
'name' => 'Represent using place value blocks and Add',
'description' => 'Can you represent the decimals using place value blocks and then add them by dragging the blocks from the top to the bottom?',
'keywords' => '',
'submodule_id' => '101',
'type' => '1',
'imagepath' => '',
'help' => true,
)
),
(int) 40 => array(
'activities' => array(
'id' => '558',
'unique_id' => 'm4h5c4t4p6',
'name' => 'Represent using place value blocks and Subtract',
'description' => 'Can you represent the decimals using place value blocks and then subtract them by dragging the blocks from the top to the bottom? Remember that if you do not have enough blocks to subtract, you will have to borrow (break) from the next higher place value.',
'keywords' => '',
'submodule_id' => '101',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'represent-using-place-value-blocks-and-subtract-2'
)
),
(int) 41 => array(
'activities' => array(
'id' => '640',
'unique_id' => 'm5h5c2t5p1',
'name' => 'Can you add the cake pieces',
'description' => 'We have learnt earlier how to add fractions that have the same denominator or where the denominators are multiples of each other. What should we do if the denominators are totally different? Well, we still need to make them equal by finding the equivalent fractions.',
'keywords' => '',
'submodule_id' => '131',
'type' => '1',
'imagepath' => '',
'help' => false,
)
),
(int) 42 => array(
'activities' => array(
'id' => '641',
'unique_id' => 'm5h5c2t5p2',
'name' => 'Addition with Fraction Strips',
'description' => 'When we have fractions that have denominators that are different from each other, we need to find the equivalent of both fractions that have the denominators equal. Let us use fraction strips to understand this. ',
'keywords' => '',
'submodule_id' => '131',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 43 => array(
'activities' => array(
'id' => '642',
'unique_id' => 'm5h5c2t5p3',
'description' => 'Now that we know how to add fractions that have different denominators, let us get some practice adding them.',
'keywords' => '',
'submodule_id' => '131',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 44 => array(
'activities' => array(
'id' => '645',
'unique_id' => 'm5h5c2t6p1',
'name' => 'Subtraction with Fraction Strips',
'description' => 'When we need to subtract fractions that have denominators that are different from each other, we again have to find the equivalent fractions that will make the denominators equal and then subtract them.',
'keywords' => '',
'submodule_id' => '132',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'subtraction-with-fraction-strips-2'
)
),
(int) 45 => array(
'activities' => array(
'id' => '646',
'unique_id' => 'm5h5c2t6p2',
'name' => 'Fraction subtraction practice',
'description' => 'Now that we know how to subtract fractions that have denominators that are different from each other, let us get some practice subtracting them. ',
'keywords' => '',
'submodule_id' => '132',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-subtraction-practice-2'
)
),
(int) 46 => array(
'activities' => array(
'id' => '644',
'unique_id' => 'm5h5c2t5p3b',
'name' => 'Word Problems',
'description' => 'Now, let us try to solve some examples from our day to day life that involve fraction addition.',
'keywords' => '',
'submodule_id' => '131',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'word-problems'
)
),
(int) 47 => array(
'activities' => array(
'id' => '648',
'unique_id' => 'm5h5c2t6p4',
'name' => 'Subtraction Word Problems',
'description' => 'Now, let us try to solve some examples from our day to day life that involve fraction subtraction.',
'keywords' => '',
'submodule_id' => '132',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'subtraction-word-problems-3'
)
),
(int) 48 => array(
'activities' => array(
'id' => '647',
'unique_id' => 'm5h5c2t6p3',
'name' => 'Fraction difference estimation',
'description' => 'Let us estimate the result of subtracting two fractions by finding their approximate equivalent. Look at the fractions and identify their closest equivalent among the fractions shown in the bottom.',
'keywords' => '',
'submodule_id' => '132',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-difference-estimation-2'
)
),
(int) 49 => array(
'activities' => array(
'id' => '643',
'unique_id' => 'm5h5c2t5p3a',
'description' => 'Let us estimate the result of adding two fractions by finding their approximate equivalent. Look at the fractions and identify their closest  equivalent among the fractions shown in the bottom.',
'keywords' => '',
'submodule_id' => '131',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 50 => array(
'activities' => array(
'id' => '583',
'unique_id' => 'mh5c2t4p1',
'name' => 'Improper Fractions and Mixed Fractions',
'description' => 'Some fractions are called Improper fractions. What is so improper about them? Let us find out.',
'keywords' => '',
'submodule_id' => '93',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'improper-fractions-and-mixed-fractions-2'
)
),
(int) 51 => array(
'activities' => array(
'id' => '584',
'unique_id' => 'mh5c2t4p2',
'name' => 'Write the improper fraction',
'description' => 'Now that we know what improper fractions are, let us represent some of the fractions shown. As always, count the number of colored divisions and divide by the number of divisions in a whole.',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-the-improper-fraction-2'
)
),
(int) 52 => array(
'activities' => array(
'id' => '585',
'unique_id' => 'mh5c2t4p3',
'name' => 'Write as mixed fraction',
'description' => 'Let us represent some of the fractions shown in mixed fraction form. ',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-as-mixed-fraction-2'
)
),
(int) 53 => array(
'activities' => array(
'id' => '586',
'unique_id' => 'mh5c2t4p4',
'name' => 'Represent as mixed fraction',
'description' => 'Let us use a fraction circle to represent mixed fractions. Divide the circle into the required number of divisions and then click on the divisions to represent the fraction.',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-as-mixed-fraction-2'
)
),
(int) 54 => array(
'activities' => array(
'id' => '587',
'unique_id' => 'mh5c2t4p5',
'name' => 'Represent using a numberline',
'description' => 'Improper fractions can be represented on a numberline. Let us explore this further. ',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-using-a-numberline-2'
)
),
(int) 55 => array(
'activities' => array(
'id' => '588',
'unique_id' => 'mh5c2t4p6',
'name' => 'Write the fractions shown',
'description' => 'Now that we have understood the concept behind improper fractions and mixed fractions, let us represent some of the fractions shown.',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-the-fractions-shown-2'
)
),
(int) 56 => array(
'activities' => array(
'id' => '525',
'unique_id' => 'm4h5c2t7p1',
'name' => 'Multiplication as repeated addition',
'description' => 'We have learnt that multiplication is nothing but repeated addition of numbers. Multiplying a fraction by a whole number is also nothing but repeatedly adding the fraction a number of times as specified by the whole number.',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => false,
)
),
(int) 57 => array(
'activities' => array(
'id' => '526',
'unique_id' => 'm4h5c2t7p2',
'name' => 'Write the multiplication problem statement',
'description' => 'Now that we know that multiplication is same as repeated addition of fractions, let us see if we can identify the multiplication statement shown in the figure. ',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-the-multiplication-problem-statement-2'
)
),
(int) 58 => array(
'activities' => array(
'id' => '527',
'unique_id' => 'm4h5c2t7p3',
'name' => 'Let us serve some pies',
'description' => 'We have some guests for dinner and we are planning to serve a specific fraction of a pie to each one of them. Can you help me to calculate exactly how much pie I need?',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-serve-some-pies-2'
)
),
(int) 59 => array(
'activities' => array(
'id' => '528',
'unique_id' => 'm4h5c2t7p4',
'name' => 'Multiplication of whole number by a fraction',
'description' => 'Now we know how to multiply a fraction by a whole number. Is this same as multiplying the whole number by the fraction? In other words, is 4 times half same as half of 4? ',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'multiplication-of-whole-number-by-a-fraction-2'
)
),
(int) 60 => array(
'activities' => array(
'id' => '529',
'unique_id' => 'm4h5c2t7p5',
'name' => 'Fraction of a collection of objects',
'description' => 'We have a collection of objects below. Can you divide them into the boxes equally and find out how many objects the fraction in question represents.',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-of-a-collection-of-objects-2'
)
),
(int) 61 => array(
'activities' => array(
'id' => '530',
'unique_id' => 'm4h5c2t7p5a',
'name' => 'Multiply whole numbers with fractions',
'description' => 'Let us learn how to multiply a whole number with a fraction using the simple, step by step procedure. Once you master this, you will be able to solve difficult problems easily.',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'multiply-whole-numbers-with-fractions-2'
)
),
(int) 62 => array(
'activities' => array(
'id' => '531',
'unique_id' => 'm4h5c2t7p6',
'name' => 'Let us practice multiplication',
'description' => 'Now that we know how to calculate the product of a fraction and a whole number, let us see how fast we can answer these questions.',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-practice-multiplication-2'
)
),
(int) 63 => array(
'activities' => array(
'id' => '532',
'unique_id' => 'm4h5c2t7p7',
'name' => 'Word Problems',
'description' => 'Shall we try solving some fraction multiplication problems that we come across in real life?',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'word-problems-10'
)
),
(int) 64 => array(
'activities' => array(
'id' => '632',
'unique_id' => 'm5h5c1t8p5',
'name' => 'Estimate the result',
'description' => 'Understand the statement given below and use rounding to estimate the result. You can see how rounding makes it easier to estimate the result.',
'keywords' => '',
'submodule_id' => '124',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'estimate-the-result-3'
)
),
(int) 65 => array(
'activities' => array(
'id' => '656',
'unique_id' => 'm5h5c2t8p10',
'name' => 'Find the reciprocal fraction',
'description' => 'In order to divide a whole number by a fraction, you need to find the reciprocal of the fraction and multiply with the whole number.Let us get some practice finding reciprocals of fractions.',
'keywords' => '',
'submodule_id' => '137',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'find-the-reciprocal-fraction-2'
)
),
(int) 66 => array(
'activities' => array(
'id' => '657',
'unique_id' => 'm5h5c2t8p11',
'name' => 'Let us practice division',
'description' => 'Now that we know how to divide a whole number by a fraction, let us get some practice dividing them. Remember that you need to find the reciprocal of the fractions and multiply with the whole number.',
'keywords' => '',
'submodule_id' => '137',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-practice-division-2'
)
),
(int) 67 => array(
'activities' => array(
'id' => '663',
'unique_id' => 'm5h5c2t8p7',
'name' => 'Whole number by fraction division using models',
'description' => 'Let us use some simple examples from everyday life to understand what dividing a whole number by a fraction actually means.',
'keywords' => '',
'submodule_id' => '137',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'whole-number-by-fraction-division-using-models-2'
)
),
(int) 68 => array(
'activities' => array(
'id' => '664',
'unique_id' => 'm5h5c2t8p8',
'name' => 'Find the division statement',
'description' => 'Here we have some fraction division statements shown using some models. Can you identify the statements and find the answers.',
'keywords' => '',
'submodule_id' => '137',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'find-the-division-statement-2'
)
),
(int) 69 => array(
'activities' => array(
'id' => '665',
'unique_id' => 'm5h5c2t8p9',
'name' => 'Divide a chocolate bar',
'description' => 'There are some yummy chocolate bars that have been divided into certain number of pieces. Can you write the fraction division statements corresponding to each situation? ',
'keywords' => '',
'submodule_id' => '137',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'divide-a-chocolate-bar-2'
)
),
(int) 70 => array(
'activities' => array(
'id' => '655',
'unique_id' => 'm5h5c2t8p1',
'name' => 'Let us divide a fraction of Pizza',
'description' => 'I have a fraction of a full pizza and I need to divide this portion equally to some people. Can you help me do this.',
'keywords' => '',
'submodule_id' => '138',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'let-us-divide-a-fraction-of-pizza-2'
)
),
(int) 71 => array(
'activities' => array(
'id' => '658',
'unique_id' => 'm5h5c2t8p2',
'name' => 'Share a portion of the Pie',
'description' => 'I have a portion of a pie that I need divided equally into certain number of slices. Click on the pie pieces to divide them equally and then write the division statement.',
'keywords' => '',
'submodule_id' => '138',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'share-a-portion-of-the-pie-2'
)
),
(int) 72 => array(
'activities' => array(
'id' => '659',
'unique_id' => 'm5h5c2t8p3',
'name' => 'Represent in multiplication form',
'description' => 'In order to divide a fraction by a whole number, you need to multiply the fraction by the reciprocal of the whole number. Let us write the multiplication forms of the following division statements. ',
'keywords' => '',
'submodule_id' => '138',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-in-multiplication-form-2'
)
),
(int) 73 => array(
'activities' => array(
'id' => '660',
'unique_id' => 'm5h5c2t8p4',
'name' => 'Complete the sentence',
'description' => 'Can you complete the division statements and write the answers.',
'keywords' => '',
'submodule_id' => '138',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'complete-the-sentence-2'
)
),
(int) 74 => array(
'activities' => array(
'id' => '661',
'unique_id' => 'm5h5c2t8p5',
'name' => 'Let us practice division',
'description' => 'Let us practice dividing fractions by whole numbers. Remember that you need to multiply by the reciprocal of the number to get the answer.',
'keywords' => '',
'submodule_id' => '138',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-practice-division-3'
)
),
(int) 75 => array(
'activities' => array(
'id' => '662',
'unique_id' => 'm5h5c2t8p6',
'name' => 'Word problems',
'description' => 'Can you understand the following situations and find solutions.',
'keywords' => '',
'submodule_id' => '138',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'word-problems-2'
)
),
(int) 76 => array(
'activities' => array(
'id' => '275',
'unique_id' => 'm3h3c1t3p5',
'name' => 'Conversion between kilometer and meter',
'description' => '1 Kilometer is equal to 1000 meters. Let us convert kilometers into meters and vice versa..',
'keywords' => '',
'submodule_id' => '64',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'conversion-between-kilometer-and-meter-2'
)
),
(int) 77 => array(
'activities' => array(
'id' => '151',
'unique_id' => 'm2h3c1t3p7',
'name' => 'Conversion between meter and centimeter',
'description' => '1 meter is equal to 100 centimeters. Let us see if you can convert between meters and centimeters.',
'keywords' => '',
'submodule_id' => '169',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'conversion-between-meter-and-centimeter-2'
)
),
(int) 78 => array(
'activities' => array(
'id' => '548',
'unique_id' => 'm4h5c4t3p1',
'name' => 'Exploring decimals on a numberline',
'description' => ' As we have seen earlier, each unit has 10 tenths and each tenth has ten hundredths. Let us see how this looks on a number line.',
'keywords' => '',
'submodule_id' => '100',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'exploring-decimals-on-a-numberline-2'
)
),
(int) 79 => array(
'activities' => array(
'id' => '549',
'unique_id' => 'm4h5c4t3p2',
'name' => 'Represent on a numberline',
'description' => 'Let us represent decimals on a number line. Drag the sliders to move on the number line.',
'keywords' => '',
'submodule_id' => '100',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-on-a-numberline-2'
)
),
(int) 80 => array(
'activities' => array(
'id' => '550',
'unique_id' => 'm4h5c4t3p3',
'name' => 'What is the decimal shown?',
'description' => 'Now that we know how to represent decimals on a number line, let us see if we can figure out the decimal number being pointed to. Hint: Look at the starting number on the number line, and count tenths and hundredths as you move along the number line.',
'keywords' => '',
'submodule_id' => '100',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'what-is-the-decimal-shown-2'
)
),
(int) 81 => array(
'activities' => array(
'id' => '551',
'unique_id' => 'm4h5c4t3p4',
'name' => 'Estimate the decimal',
'description' => 'Let us see how good you are at locating decimals on a number line. You will be given a number line with only the beginning and ending numbers. You will be asked to locate a given decimal on the number line. You can click on "show division lines" to make the task easier.',
'keywords' => '',
'submodule_id' => '100',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'estimate-the-decimal-2'
)
),
(int) 82 => array(
'activities' => array(
'id' => '138',
'unique_id' => 'm2h3c1t2p1',
'name' => 'Introduction to Volume',
'description' => 'Two different containers are shown. Now try to find out which holds more water. Reason out why?',
'keywords' => '',
'submodule_id' => '171',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'introduction-to-volume-2'
)
),
(int) 83 => array(
'activities' => array(
'id' => '603',
'unique_id' => 'm5h3c2t1p1',
'name' => 'Can you count the number of cubes',
'description' => ' The space occupied by any three dimensional shape is described in terms of the number of unit cubes occupying the space. Let us count the number of unit cubes to find the space occupied by these boxes.',
'keywords' => '',
'submodule_id' => '149',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'can-you-count-the-number-of-cubes-2'
)
),
(int) 84 => array(
'activities' => array(
'id' => '604',
'unique_id' => 'm5h3c2t1p2',
'name' => 'Let us fill the box with cubes',
'description' => 'Let us find the volumes of the boxes shown by finding out how many unit cubes can be filled into the boxes.',
'keywords' => '',
'submodule_id' => '149',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-fill-the-box-with-cubes-2'
)
),
(int) 85 => array(
'activities' => array(
'id' => '605',
'unique_id' => 'm5h3c2t1p3',
'name' => 'Find the volume of the box',
'description' => 'Now that we have seen that the volume can be found by simply multiplying the length, width and height of the boxes, let us see if we can find the volumes of these boxes.',
'keywords' => '',
'submodule_id' => '149',
'type' => '2',
'imagepath' => '',
'help' => false,
'slug' => 'find-the-volume-of-the-box-2'
)
),
(int) 86 => array(
'activities' => array(
'id' => '606',
'unique_id' => 'm5h3c2t1p4',
'name' => 'Let us compare volumes',
'description' => 'Here we have two boxes filled with unit cubes. Can you find if the box on the left has lesser, greater or equal volume as the box on the right?',
'keywords' => '',
'submodule_id' => '149',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-compare-volumes-2'
)
),
(int) 87 => array(
'activities' => array(
'id' => '607',
'unique_id' => 'm5h3c2t1p5',
'name' => 'Find the correct height',
'description' => 'Upto what height do I need to fill the second box so that both boxes have the same volume? Hint: If I transfer all the cubes from the first box to second box, upto what height will the second box get filled?',
'keywords' => '',
'submodule_id' => '149',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'find-the-correct-height-2'
)
),
(int) 88 => array(
'activities' => array(
'id' => '608',
'unique_id' => 'm5h3c2t1p6',
'name' => 'Relate cube volume to liquid volume',
'description' => 'An unit cube of size 1 cubic cm (which means it has all the sides measuring 1 cm) has a volume of 1 millilitre. Let us drop such cubes into water and see how much water it displaces.',
'keywords' => '',
'submodule_id' => '149',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'relate-cube-volume-to-liquid-volume-2'
)
),
(int) 89 => array(
'activities' => array(
'id' => '1148',
'unique_id' => 'm9h3c1t1p4',
'name' => 'Volume of a Prism',
'description' => 'Volume of any prism can be found by multiplying the area of its cross section by its height. Let us explore..',
'keywords' => 'surface area, volume, prism, rectangular prism, triangular prism',
'submodule_id' => '34',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'volume-of-a-prism-2'
)
),
(int) 90 => array(
'activities' => array(
'id' => '1149',
'unique_id' => 'm9h3c1t1p5',
'name' => 'Volume of a Cylinder',
'description' => 'A Cylinder can be formed by stacking many circles of equal radii on top of each other. The volume of a cylinder can be found by adding the areas of all these circles. Since these circles have the same area, it is equivalent to multiplying the area of one circle by the height of the cylinder',
'keywords' => 'surface area, volume, cylinder, curved surface',
'submodule_id' => '34',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'volume-of-a-cylinder-2'
)
),
(int) 91 => array(
'activities' => array(
'id' => '1150',
'unique_id' => 'm9h3c1t1p6',
'name' => 'Volume of a Cone',
'description' => 'If we fill a cone with any liquid and then pour this liquid into a cylinder with the same base radius and height as the cone, exactly one third of the cylinder will get filled. This shows that the volume of a cone is exactly one third the volume of a cylinder with same base radius and height',
'keywords' => 'surface area, volume, cone, curved surface',
'submodule_id' => '34',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'volume-of-a-cone-2'
)
),
(int) 92 => array(
'activities' => array(
'id' => '1151',
'unique_id' => 'm9h3c1t2p1',
'name' => 'Volume and Surface Areas of Cuboids - Practice',
'description' => 'Let us practice finding the volumes and surface areas of cubes and cuboids.',
'keywords' => 'surface area, volume, cube, cuboid, rectangular prism',
'submodule_id' => '35',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'volume-and-surface-areas-of-cuboids-practice-2'
)
),
(int) 93 => array(
'activities' => array(
'id' => '990',
'unique_id' => 'm8h2c2t1p1',
'name' => 'Find the locations',
'description' => 'Using the arrows, let us help the motor cyclist navigate to the locations in question. As he moves, notice how his X and Y positions change.',
'keywords' => '',
'submodule_id' => '263',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'find-the-locations-2'
)
),
(int) 94 => array(
'activities' => array(
'id' => '991',
'unique_id' => 'm8h2c2t1p2',
'name' => 'Coordinates with Chess board',
'description' => 'During a chess game, the 64 squares on a chess board are denoted using a Coordinate System with letters on the side and numbers on top. Let us see if we can identify some of the squares.',
'keywords' => '',
'submodule_id' => '263',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'coordinates-with-chess-board-2'
)
),
(int) 95 => array(
'activities' => array(
'id' => '992',
'unique_id' => 'm8h2c2t1p3',
'name' => 'Find the missing puzzle pieces',
'description' => 'There are puzzle pieces hidden at different locations. Can you locate the coordinates given and find all the puzzle pieces? ',
'keywords' => '',
'submodule_id' => '263',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'find-the-missing-puzzle-pieces-2'
)
),
(int) 96 => array(
'activities' => array(
'id' => '993',
'unique_id' => 'm8h2c2t1p4',
'name' => 'Relative Coordinates',
'description' => 'Relative coordinates are used to describe a location based on the current location. Let us see if we can identify some locations described relative to a current position.',
'keywords' => '',
'submodule_id' => '263',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'relative-coordinates-2'
)
),
(int) 97 => array(
'activities' => array(
'id' => '299',
'unique_id' => 'm3h4c2t1p1',
'name' => 'Let us play with rectangles',
'description' => 'Let us understand the properties of a rectangle. Drag the corners to increase or decrease the size of the rectangle. Notice that the opposite sides always remain equal and parallel. In addition, notice that all the sides of a rectangle are perpendicular to each other.',
'keywords' => '',
'submodule_id' => '74',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-play-with-rectangles-2'
)
),
(int) 98 => array(
'activities' => array(
'id' => '300',
'unique_id' => 'm3h4c2t1p2',
'name' => 'Special form of rectangle called Square',
'description' => 'A square is a special rectangle with all sides equal. Drag the corners to increase or decrease the size of the square. Notice that it is basically same as a rectangle except for the fact that all sides are always equal.',
'keywords' => '',
'submodule_id' => '74',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'special-form-of-rectangle-called-square-2'
)
),
(int) 99 => array(
'activities' => array(
'id' => '466',
'unique_id' => 'm4h4c2t1p1',
'name' => 'Properties of a Parallelogram',
'description' => 'A parallelogram is very similar to a rectangle, except that the sides are not perpendicular to each other. Drag the vertices of the parallelogram and observe how the parallelogram behaves. What difference do you notice compared to a rectangle?',
'keywords' => '',
'submodule_id' => '115',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-parallelogram-2'
)
),
(int) 100 => array(
'activities' => array(
'id' => '467',
'unique_id' => 'm4h4c2t1p2',
'name' => 'Special form of Parallelogram - Rhombus',
'description' => 'A rhombus is a special case of a parallelogram with all sides equal. You can also think of it as a square with the sides not perpendicular to each other. Drag the vertices of the rhombus and observe it behaves. What difference do you notice compared to a parallelogram and a square? ',
'keywords' => '',
'submodule_id' => '115',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'special-form-of-parallelogram-rhombus-2'
)
),
(int) 101 => array(
'activities' => array(
'id' => '764',
'unique_id' => 'm6h4c1t4p3',
'name' => 'Parallelogram',
'description' => 'A parallelogram is very similar to a rectangle, except that the sides are not perpendicular to each other. Drag the vertices of the parallelogram and observe how the parallelogram behaves. What difference do you notice compared to a rectangle?',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'parallelogram-2'
)
),
(int) 102 => array(
'activities' => array(
'id' => '766',
'unique_id' => 'm6h4c1t4p5',
'name' => 'Trapezium',
'description' => 'A trapezium (also called as trapezoid) has 4 sides, out of which two are always parallel to each other. Drag the vertices of the trapezium to observe how it behaves. What shape do you get if you make the other two sides also parallel?',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'trapezium-2'
)
),
(int) 103 => array(
'activities' => array(
'id' => '765',
'unique_id' => 'm6h4c1t4p4',
'name' => 'Rhombus',
'description' => 'A rhombus is a special case of a parallelogram with all sides equal. You can also think of it as a square with the sides not perpendicular to each other. Drag the vertices of the rhombus and observe how it behaves. What difference do you notice compared to a parallelogram and a square? ',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'rhombus-2'
)
),
(int) 104 => array(
'activities' => array(
'id' => '762',
'unique_id' => 'm6h4c1t4p1',
'name' => 'Rectangle',
'description' => 'Let us understand the properties of a rectangle. Drag the corners to increase or decrease the size of the rectangle. Notice that the opposite sides always remain equal and parallel. In addition, notice that all the sides of a rectangle are perpendicular to each other.',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'rectangle-2'
)
),
(int) 105 => array(
'activities' => array(
'id' => '763',
'unique_id' => 'm6h4c1t4p2',
'name' => 'Square',
'description' => 'A square is a special rectangle with all sides equal. Drag the corners to increase or decrease the size of the square. Notice that it is basically same as a rectangle except for the fact that all sides are always equal.',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'square-2'
)
),
(int) 106 => array(
'activities' => array(
'id' => '1001',
'unique_id' => 'm8h4c1t1p2',
'name' => 'Properties of a Paralellogram',
'description' => 'Let us understand the properties of the sides, angles and diagonals of a parallelogram.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-paralellogram-2'
)
),
(int) 107 => array(
'activities' => array(
'id' => '1002',
'unique_id' => 'm8h4c1t1p3',
'name' => 'Properties of a Rhombus',
'description' => 'Rhombus is a special case of a Parallelogram where all the sides are equal. Let us understand the properties of the sides, angles and diagonals of a Rhombus.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-rhombus-2'
)
),
(int) 108 => array(
'activities' => array(
'id' => '1003',
'unique_id' => 'm8h4c1t1p4',
'name' => 'Properties of a kite',
'description' => 'Kite is a special quadrilateral where one pair of adjacent sides are equal. Let us understand the properties of the sides, angles and diagonals of a Kite.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-kite-2'
)
),
(int) 109 => array(
'activities' => array(
'id' => '1004',
'unique_id' => 'm8h4c1t1p5',
'name' => 'Properties of a trapezium',
'description' => 'Trapezium has one pair of opposite sides parallel. Let us understand the properties of the sides, angles and diagonals of a Trapezium.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-trapezium-3'
)
),
(int) 110 => array(
'activities' => array(
'id' => '1209',
'unique_id' => 'm9h4c6t1p4',
'name' => 'Properties of a Parallelogram - Practice',
'description' => 'Let us see how much you have understood the various properties of a parallelogram. Use the properties to answer the questions in this activity..',
'keywords' => 'parallelogram, diagonals, properties',
'submodule_id' => '47',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-parallelogram-practice-2'
)
),
(int) 111 => array(
'activities' => array(
'id' => '1211',
'unique_id' => 'm9h4c6t1p6',
'name' => 'Properties of a Rhombus - Practice',
'description' => 'Use the properties of Rhombus to answer the questions in this activity..',
'keywords' => 'rhombus, diagonals, properties',
'submodule_id' => '47',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-rhombus-practice-2'
)
)
)
\$checkCombat = array(
(int) 0 => array(
'Activity' => array(
'unique_id' => 'm1ah5c1t3pa2p8'
)
),
(int) 1 => array(
'Activity' => array(
'unique_id' => 'm1h5c1t1p6'
)
),
(int) 2 => array(
'Activity' => array(
'unique_id' => 'm1h5c1t2p9'
)
),
(int) 3 => array(
'Activity' => array(
'unique_id' => 'm2h5c1t4p6a'
)
),
(int) 4 => array(
'Activity' => array(
'unique_id' => 'm3h5c1t12p5'
)
),
(int) 5 => array(
'Activity' => array(
'unique_id' => 'mh4c1t4p10'
)
),
(int) 6 => array(
'Activity' => array(
'unique_id' => 'mh4c1t4p9'
)
),
(int) 7 => array(
'Activity' => array(
'unique_id' => 'm6h4c1t1p5'
)
),
(int) 8 => array(
'Activity' => array(
'unique_id' => 'm6h4c1t3p6'
)
),
(int) 9 => array(
'Activity' => array(
'unique_id' => 'm6h4c1t5p5'
)
),
(int) 10 => array(
'Activity' => array(
'unique_id' => 'm7h4c3t1p10'
)
),
(int) 11 => array(
'Activity' => array(
'unique_id' => 'm9h16c1t1p5'
)
),
(int) 12 => array(
'Activity' => array(
'unique_id' => 'm9h1c1t1p12'
)
),
(int) 13 => array(
'Activity' => array(
'unique_id' => 'm9h1c1t2p8'
)
),
(int) 14 => array(
'Activity' => array(
'unique_id' => 'm9h2c1t1p9'
)
),
(int) 15 => array(
'Activity' => array(
'unique_id' => 'm9h2c1t2p12'
)
),
(int) 16 => array(
'Activity' => array(
'unique_id' => 'm9h2c1t3p9'
)
),
(int) 17 => array(
'Activity' => array(
'unique_id' => 'm9h4c1t1p6'
)
),
(int) 18 => array(
'Activity' => array(
'unique_id' => 'm9h4c3t1p5'
)
),
(int) 19 => array(
'Activity' => array(
'unique_id' => 'm9h4c3t2p6'
)
),
(int) 20 => array(
'Activity' => array(
'unique_id' => 'm9h4c4t1p6'
)
),
(int) 21 => array(
'Activity' => array(
'unique_id' => 'm10h15c1t1p10'
)
),
(int) 22 => array(
'Activity' => array(
'unique_id' => 'm10h16c1t1p6'
)
),
(int) 23 => array(
'Activity' => array(
'unique_id' => 'm10h2c1t1p9'
)
),
(int) 24 => array(
'Activity' => array(
'unique_id' => 'm10h4c4t1p11'
)
)
)
\$MATHLATHON_DOMAIN = 'www.mathlathon.org'
\$country_id = '1'
\$countries_list = array(
(int) 0 => array(
'Country' => array(
'id' => '1',
'name' => 'United States'
)
),
(int) 1 => array(
'Country' => array(
'id' => '82',
'name' => 'India'
)
)
)
\$MEDIA_URL = ''
\$xml = object(SimpleXMLElement) {
mainTopic => array(
(int) 0 => object(SimpleXMLElement) {},
(int) 1 => object(SimpleXMLElement) {},
(int) 2 => object(SimpleXMLElement) {},
(int) 3 => object(SimpleXMLElement) {},
(int) 4 => object(SimpleXMLElement) {}
)
}
\$cnt = (int) 1
\$keyCounter = false
\$mainTopic = object(SimpleXMLElement) {
@attributes => array(
'desc' => '5.OA Operations and Algebraic Thinking '
)
subTopic => array(
(int) 0 => object(SimpleXMLElement) {},
(int) 1 => object(SimpleXMLElement) {}
)
}
\$stcnt = (int) 0
\$subTopic = object(SimpleXMLElement) {
@attributes => array(
'desc' => '5 Analyze patterns and relationships. '
)
topic => object(SimpleXMLElement) {}
}
\$tcnt = (int) 2
\$subtopicList = array(
'@attributes' => array(
'desc' => '5 Analyze patterns and relationships. '
),
'topic' => array(
'@attributes' => array(
'desc' => '5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. '
),
(int) 0 => ''
)
)
\$value = array(
'@attributes' => array(
'desc' => '5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. '
),
(int) 0 => ''
)
\$key = 'topic'
\$topiclist = ''
\$count_temp1 = (int) 0
\$activityList = array(
(int) 0 => 'm5h5c1t6p1'
)
\$combateTrue = false
\$activity_id = array(
(int) 0 => 'm5h5c1t6p1',
(int) 1 => 'm5h5c1t6p2',
(int) 2 => 'm5h5c1t6p3',
(int) 3 => 'm5h5c1t6p4',
(int) 4 => 'm5h5c1t6p5',
(int) 5 => array(
(int) 0 => 'm5h5c1t6p1'
)
)
\$act_type = 'learn'
\$img_path = '-'
\$help_flg = (int) 0
\$act_slug = 'why-order-of-operations-is-important-2'
\$act_id = '618'
\$open_activity = 'samplelessons'
\$tempflg = array(
(int) 0 => 'm5h5c1t6p1'
)
\$temp_topic = array(
(int) 0 => array(
(int) 0 => 'm5h5c1t6p1'
)
View::_evaluate() - CORE/Cake/View/View.php, line 948
View::_render() - CORE/Cake/View/View.php, line 910
View::_renderElement() - CORE/Cake/View/View.php, line 1213
View::element() - CORE/Cake/View/View.php, line 418
View::_evaluate() - CORE/Cake/View/View.php, line 948
View::_render() - CORE/Cake/View/View.php, line 910
View::render() - CORE/Cake/View/View.php, line 471
Controller::render() - CORE/Cake/Controller/Controller.php, line 954
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 198
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 165
[main] - ROOT/www/mathbuddy/index.php, line 117```
```Warning (2): Illegal string offset 'desc' [APP/View/Curriculums/reload_curriculum.ctp, line 126]Code Context```                                { ?>
```
```
```
```                                <li style="list-style:none;" id='topic_<?php echo \$cnt;?>_<?php echo \$stcnt;?>_<?php echo ++\$tcnt;?>'><a href='#' class='black'><?php echo \$topiclist['@attributes']['desc'] ?></a>
\$dataForView = array(
'notawailable' => true,
'free' => true,
'table1' => 'activities',
'activity_index' => array(
(int) 0 => 'm5h5c1t6p1',
(int) 1 => 'm5h5c1t6p2',
(int) 2 => 'm5h5c1t6p3',
(int) 3 => 'm5h5c1t6p4',
(int) 4 => 'm5h5c1t6p5',
(int) 5 => 'm5h5c1t1p1',
(int) 6 => 'm5h5c1t1p2',
(int) 7 => 'm5h5c1t1p3',
(int) 8 => 'm5h5c1t1p4',
(int) 9 => 'm5h5c1t1p5',
(int) 10 => 'm5h5c1t1p6',
(int) 11 => 'm5h5c1t1p7',
(int) 12 => 'm5h5c1t1p8',
(int) 13 => 'm5h5c4t1p1',
(int) 14 => 'm5h5c4t1p2',
(int) 15 => 'm5h5c4t1p4',
(int) 16 => 'm3h5c1t13p1',
(int) 17 => 'm3h5c1t13p2',
(int) 18 => 'm3h5c1t13p3',
(int) 19 => 'm7h7c1t3p1',
(int) 20 => 'm5h5c4t1p3',
(int) 21 => 'm5h5c4t1p5',
(int) 22 => 'm5h5c4t1p6',
(int) 23 => 'm4h5c4t2p1',
(int) 24 => 'm4h5c4t2p2',
(int) 25 => 'm4h5c4t2p3',
(int) 26 => 'm4h5c4t2p4',
(int) 27 => 'm4h5c4t2p5',
(int) 28 => 'm4h5c4t3p5',
(int) 29 => 'm4h5c1t4p5',
(int) 30 => 'm5h5c4t6p1',
(int) 31 => 'm5h5c4t6p2',
(int) 32 => 'm4h5c1t5p1',
(int) 33 => 'm4h5c1t5p2',
(int) 34 => 'm5h5c1t5p2',
(int) 35 => 'm4h5c4t4p1',
(int) 36 => 'm4h5c4t4p2',
(int) 37 => 'm4h5c4t4p3',
(int) 38 => 'm4h5c4t4p4',
(int) 39 => 'm4h5c4t4p5',
(int) 40 => 'm4h5c4t4p6',
(int) 41 => 'm5h5c2t5p1',
(int) 42 => 'm5h5c2t5p2',
(int) 43 => 'm5h5c2t5p3',
(int) 44 => 'm5h5c2t6p1',
(int) 45 => 'm5h5c2t6p2',
(int) 46 => 'm5h5c2t5p3b',
(int) 47 => 'm5h5c2t6p4',
(int) 48 => 'm5h5c2t6p3',
(int) 49 => 'm5h5c2t5p3a',
(int) 50 => 'mh5c2t4p1',
(int) 51 => 'mh5c2t4p2',
(int) 52 => 'mh5c2t4p3',
(int) 53 => 'mh5c2t4p4',
(int) 54 => 'mh5c2t4p5',
(int) 55 => 'mh5c2t4p6',
(int) 56 => 'm4h5c2t7p1',
(int) 57 => 'm4h5c2t7p2',
(int) 58 => 'm4h5c2t7p3',
(int) 59 => 'm4h5c2t7p4',
(int) 60 => 'm4h5c2t7p5',
(int) 61 => 'm4h5c2t7p5a',
(int) 62 => 'm4h5c2t7p6',
(int) 63 => 'm4h5c2t7p7',
(int) 64 => 'm5h5c1t8p5',
(int) 65 => 'm5h5c2t8p10',
(int) 66 => 'm5h5c2t8p11',
(int) 67 => 'm5h5c2t8p7',
(int) 68 => 'm5h5c2t8p8',
(int) 69 => 'm5h5c2t8p9',
(int) 70 => 'm5h5c2t8p1',
(int) 71 => 'm5h5c2t8p2',
(int) 72 => 'm5h5c2t8p3',
(int) 73 => 'm5h5c2t8p4',
(int) 74 => 'm5h5c2t8p5',
(int) 75 => 'm5h5c2t8p6',
(int) 76 => 'm3h3c1t3p5',
(int) 77 => 'm2h3c1t3p7',
(int) 78 => 'm4h5c4t3p1',
(int) 79 => 'm4h5c4t3p2',
(int) 80 => 'm4h5c4t3p3',
(int) 81 => 'm4h5c4t3p4',
(int) 82 => 'm2h3c1t2p1',
(int) 83 => 'm5h3c2t1p1',
(int) 84 => 'm5h3c2t1p2',
(int) 85 => 'm5h3c2t1p3',
(int) 86 => 'm5h3c2t1p4',
(int) 87 => 'm5h3c2t1p5',
(int) 88 => 'm5h3c2t1p6',
(int) 89 => 'm9h3c1t1p4',
(int) 90 => 'm9h3c1t1p5',
(int) 91 => 'm9h3c1t1p6',
(int) 92 => 'm9h3c1t2p1',
(int) 93 => 'm8h2c2t1p1',
(int) 94 => 'm8h2c2t1p2',
(int) 95 => 'm8h2c2t1p3',
(int) 96 => 'm8h2c2t1p4',
(int) 97 => 'm3h4c2t1p1',
(int) 98 => 'm3h4c2t1p2',
(int) 99 => 'm4h4c2t1p1',
(int) 100 => 'm4h4c2t1p2',
(int) 101 => 'm6h4c1t4p3',
(int) 102 => 'm6h4c1t4p5',
(int) 103 => 'm6h4c1t4p4',
(int) 104 => 'm6h4c1t4p1',
(int) 105 => 'm6h4c1t4p2',
(int) 106 => 'm8h4c1t1p2',
(int) 107 => 'm8h4c1t1p3',
(int) 108 => 'm8h4c1t1p4',
(int) 109 => 'm8h4c1t1p5',
(int) 110 => 'm9h4c6t1p4',
(int) 111 => 'm9h4c6t1p6'
),
'activity_details' => array(
(int) 0 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 1 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 2 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 3 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 4 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 5 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 6 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 7 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 8 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 9 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 10 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 11 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 12 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 13 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 14 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 15 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 16 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 17 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 18 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 19 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 20 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 21 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 22 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 23 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 24 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 25 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 26 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 27 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 28 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 29 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 30 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 31 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 32 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 33 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 34 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 35 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 36 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 37 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 38 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 39 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 40 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 41 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 42 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 43 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 44 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 45 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 46 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 47 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 48 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 49 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 50 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 51 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 52 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 53 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 54 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 55 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 56 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 57 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 58 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 59 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 60 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 61 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 62 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 63 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 64 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 65 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 66 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 67 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 68 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 69 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 70 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 71 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 72 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 73 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 74 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 75 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 76 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 77 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 78 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 79 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 80 => array(
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[maximum depth reached]
)
),
(int) 81 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 82 => array(
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[maximum depth reached]
)
),
(int) 83 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 84 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 85 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 86 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 87 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 88 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 89 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 90 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 91 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 92 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 93 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 94 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 95 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 96 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 97 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 98 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 99 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 100 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 101 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 102 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 103 => array(
'activities' => array(
[maximum depth reached]
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),
(int) 104 => array(
'activities' => array(
[maximum depth reached]
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(int) 105 => array(
'activities' => array(
[maximum depth reached]
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(int) 106 => array(
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[maximum depth reached]
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(int) 107 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 108 => array(
'activities' => array(
[maximum depth reached]
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),
(int) 109 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 110 => array(
'activities' => array(
[maximum depth reached]
)
),
(int) 111 => array(
'activities' => array(
[maximum depth reached]
)
)
),
'checkCombat' => array(
(int) 0 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 1 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 2 => array(
'Activity' => array(
[maximum depth reached]
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),
(int) 3 => array(
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(int) 4 => array(
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(int) 5 => array(
'Activity' => array(
[maximum depth reached]
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(int) 6 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 7 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 8 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 9 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 10 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 11 => array(
'Activity' => array(
[maximum depth reached]
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),
(int) 12 => array(
'Activity' => array(
[maximum depth reached]
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),
(int) 13 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 14 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 15 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 16 => array(
'Activity' => array(
[maximum depth reached]
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),
(int) 17 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 18 => array(
'Activity' => array(
[maximum depth reached]
)
),
(int) 19 => array(
'Activity' => array(
[maximum depth reached]
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),
(int) 20 => array(
'Activity' => array(
[maximum depth reached]
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(int) 21 => array(
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(int) 22 => array(
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[maximum depth reached]
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(int) 23 => array(
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[maximum depth reached]
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(int) 24 => array(
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),
'MATHLATHON_DOMAIN' => 'www.mathlathon.org',
'country_id' => '1',
'countries_list' => array(
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'Country' => array(
[maximum depth reached]
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(int) 1 => array(
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'MEDIA_URL' => ''
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\$notawailable = true
\$free = true
\$table1 = 'activities'
\$activity_index = array(
(int) 0 => 'm5h5c1t6p1',
(int) 1 => 'm5h5c1t6p2',
(int) 2 => 'm5h5c1t6p3',
(int) 3 => 'm5h5c1t6p4',
(int) 4 => 'm5h5c1t6p5',
(int) 5 => 'm5h5c1t1p1',
(int) 6 => 'm5h5c1t1p2',
(int) 7 => 'm5h5c1t1p3',
(int) 8 => 'm5h5c1t1p4',
(int) 9 => 'm5h5c1t1p5',
(int) 10 => 'm5h5c1t1p6',
(int) 11 => 'm5h5c1t1p7',
(int) 12 => 'm5h5c1t1p8',
(int) 13 => 'm5h5c4t1p1',
(int) 14 => 'm5h5c4t1p2',
(int) 15 => 'm5h5c4t1p4',
(int) 16 => 'm3h5c1t13p1',
(int) 17 => 'm3h5c1t13p2',
(int) 18 => 'm3h5c1t13p3',
(int) 19 => 'm7h7c1t3p1',
(int) 20 => 'm5h5c4t1p3',
(int) 21 => 'm5h5c4t1p5',
(int) 22 => 'm5h5c4t1p6',
(int) 23 => 'm4h5c4t2p1',
(int) 24 => 'm4h5c4t2p2',
(int) 25 => 'm4h5c4t2p3',
(int) 26 => 'm4h5c4t2p4',
(int) 27 => 'm4h5c4t2p5',
(int) 28 => 'm4h5c4t3p5',
(int) 29 => 'm4h5c1t4p5',
(int) 30 => 'm5h5c4t6p1',
(int) 31 => 'm5h5c4t6p2',
(int) 32 => 'm4h5c1t5p1',
(int) 33 => 'm4h5c1t5p2',
(int) 34 => 'm5h5c1t5p2',
(int) 35 => 'm4h5c4t4p1',
(int) 36 => 'm4h5c4t4p2',
(int) 37 => 'm4h5c4t4p3',
(int) 38 => 'm4h5c4t4p4',
(int) 39 => 'm4h5c4t4p5',
(int) 40 => 'm4h5c4t4p6',
(int) 41 => 'm5h5c2t5p1',
(int) 42 => 'm5h5c2t5p2',
(int) 43 => 'm5h5c2t5p3',
(int) 44 => 'm5h5c2t6p1',
(int) 45 => 'm5h5c2t6p2',
(int) 46 => 'm5h5c2t5p3b',
(int) 47 => 'm5h5c2t6p4',
(int) 48 => 'm5h5c2t6p3',
(int) 49 => 'm5h5c2t5p3a',
(int) 50 => 'mh5c2t4p1',
(int) 51 => 'mh5c2t4p2',
(int) 52 => 'mh5c2t4p3',
(int) 53 => 'mh5c2t4p4',
(int) 54 => 'mh5c2t4p5',
(int) 55 => 'mh5c2t4p6',
(int) 56 => 'm4h5c2t7p1',
(int) 57 => 'm4h5c2t7p2',
(int) 58 => 'm4h5c2t7p3',
(int) 59 => 'm4h5c2t7p4',
(int) 60 => 'm4h5c2t7p5',
(int) 61 => 'm4h5c2t7p5a',
(int) 62 => 'm4h5c2t7p6',
(int) 63 => 'm4h5c2t7p7',
(int) 64 => 'm5h5c1t8p5',
(int) 65 => 'm5h5c2t8p10',
(int) 66 => 'm5h5c2t8p11',
(int) 67 => 'm5h5c2t8p7',
(int) 68 => 'm5h5c2t8p8',
(int) 69 => 'm5h5c2t8p9',
(int) 70 => 'm5h5c2t8p1',
(int) 71 => 'm5h5c2t8p2',
(int) 72 => 'm5h5c2t8p3',
(int) 73 => 'm5h5c2t8p4',
(int) 74 => 'm5h5c2t8p5',
(int) 75 => 'm5h5c2t8p6',
(int) 76 => 'm3h3c1t3p5',
(int) 77 => 'm2h3c1t3p7',
(int) 78 => 'm4h5c4t3p1',
(int) 79 => 'm4h5c4t3p2',
(int) 80 => 'm4h5c4t3p3',
(int) 81 => 'm4h5c4t3p4',
(int) 82 => 'm2h3c1t2p1',
(int) 83 => 'm5h3c2t1p1',
(int) 84 => 'm5h3c2t1p2',
(int) 85 => 'm5h3c2t1p3',
(int) 86 => 'm5h3c2t1p4',
(int) 87 => 'm5h3c2t1p5',
(int) 88 => 'm5h3c2t1p6',
(int) 89 => 'm9h3c1t1p4',
(int) 90 => 'm9h3c1t1p5',
(int) 91 => 'm9h3c1t1p6',
(int) 92 => 'm9h3c1t2p1',
(int) 93 => 'm8h2c2t1p1',
(int) 94 => 'm8h2c2t1p2',
(int) 95 => 'm8h2c2t1p3',
(int) 96 => 'm8h2c2t1p4',
(int) 97 => 'm3h4c2t1p1',
(int) 98 => 'm3h4c2t1p2',
(int) 99 => 'm4h4c2t1p1',
(int) 100 => 'm4h4c2t1p2',
(int) 101 => 'm6h4c1t4p3',
(int) 102 => 'm6h4c1t4p5',
(int) 103 => 'm6h4c1t4p4',
(int) 104 => 'm6h4c1t4p1',
(int) 105 => 'm6h4c1t4p2',
(int) 106 => 'm8h4c1t1p2',
(int) 107 => 'm8h4c1t1p3',
(int) 108 => 'm8h4c1t1p4',
(int) 109 => 'm8h4c1t1p5',
(int) 110 => 'm9h4c6t1p4',
(int) 111 => 'm9h4c6t1p6'
)
\$activity_details = array(
(int) 0 => array(
'activities' => array(
'id' => '618',
'unique_id' => 'm5h5c1t6p1',
'name' => 'Why order of operations is important',
'description' => 'Did you know that the order in which you do the operations matters? Let us see some examples and understand how we can find the correct order.',
'keywords' => '',
'submodule_id' => '125',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'why-order-of-operations-is-important-2'
)
),
(int) 1 => array(
'activities' => array(
'id' => '619',
'unique_id' => 'm5h5c1t6p2',
'name' => 'Place the brackets',
'description' => 'Can you drag and place these parentheses at the correct place to tell which operation needs to be done first to get the number given?',
'keywords' => '',
'submodule_id' => '125',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'place-the-brackets-2'
)
),
(int) 2 => array(
'activities' => array(
'id' => '620',
'unique_id' => 'm5h5c1t6p3',
'name' => 'Click on the symbols in the correct order',
'description' => 'Click on the symbol that needs to be evaluated first in this expression. Remember the order: PEMDAS - Parentheses, Exponents, Division - Multiplication from left to right, Addition - Subtraction from left to right.',
'keywords' => '',
'submodule_id' => '125',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'click-on-the-symbols-in-the-correct-order-2'
)
),
(int) 3 => array(
'activities' => array(
'id' => '621',
'unique_id' => 'm5h5c1t6p4',
'name' => 'Drag and place the numbers',
'description' => 'Drag the numbers into the correct boxes to get the number on the right. Remember PEMDAS - Parentheses, Exponents, Division - Multiplication from left to right, Addition - Subtraction from left to right.',
'keywords' => '',
'submodule_id' => '125',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'drag-and-place-the-numbers-2'
)
),
(int) 4 => array(
'activities' => array(
'id' => '622',
'unique_id' => 'm5h5c1t6p5',
'name' => 'Fit the numbers and symbols',
'description' => 'Now, let us see if we can drag the numbers and the symbols into the correct boxes to get the number on the right.',
'keywords' => '',
'submodule_id' => '125',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fit-the-numbers-and-symbols-2'
)
),
(int) 5 => array(
'activities' => array(
'id' => '569',
'unique_id' => 'm5h5c1t1p1',
'name' => 'Representing numbers in Millions',
'description' => 'What is a Million? We have seen what a hundred thousand represents. If you add ten hundred thousand, you get a Million. ',
'keywords' => '',
'submodule_id' => '77',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'representing-numbers-in-millions-2'
)
),
(int) 6 => array(
'activities' => array(
'id' => '570',
'unique_id' => 'm5h5c1t1p2',
'name' => 'Let us identify the number',
'description' => 'Can you identify the number represented here using Dominos?',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-identify-the-number'
)
),
(int) 7 => array(
'activities' => array(
'id' => '571',
'unique_id' => 'm5h5c1t1p3',
'name' => 'Represent the number using Dominos',
'description' => 'Click on the Dominos at the top of the tubes to represent the number shown.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-the-number-using-dominos-2'
)
),
(int) 8 => array(
'activities' => array(
'id' => '572',
'unique_id' => 'm5h5c1t1p4',
'name' => 'What does the number represent?',
'description' => 'Let us expand the number and write it. Look carefully at the question being asked.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'what-does-the-number-represent-2'
)
),
(int) 9 => array(
'activities' => array(
'id' => '573',
'unique_id' => 'm5h5c1t1p5',
'name' => 'Standard and expanded forms',
'description' => 'Let us practice writing numbers in their expanded form and standard (numeral) form.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'standard-and-expanded-forms'
)
),
(int) 10 => array(
'activities' => array(
'id' => '574',
'unique_id' => 'm5h5c1t1p6',
'name' => 'Write in Numerals',
'description' => 'Here, we have a number written in its expanded word form. Can you write its numeral form?',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-in-numerals-2'
)
),
(int) 11 => array(
'activities' => array(
'id' => '575',
'unique_id' => 'm5h5c1t1p7',
'name' => 'Identify the place value',
'description' => 'Can you identify the place value of the underlined digit. This could be ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions or ten millions. ',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'identify-the-place-value-4'
)
),
(int) 12 => array(
'activities' => array(
'id' => '576',
'unique_id' => 'm5h5c1t1p8',
'name' => 'Conversion exercises',
'description' => 'Now that we know how to represent numbers in millions, let us see if we can answer the following questions.',
'keywords' => '',
'submodule_id' => '77',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'conversion-exercises-2'
)
),
(int) 13 => array(
'activities' => array(
'id' => '673',
'unique_id' => 'm5h5c4t1p1',
'name' => 'Let us represent one thousandth of a unit',
'description' => 'When an object gets divided into thousand portions, each portion is called one-thousandth of the object. Let us understand how to represent this in decimal form.',
'keywords' => '',
'submodule_id' => '139',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'let-us-represent-one-thousandth-of-a-unit-2'
)
),
(int) 14 => array(
'activities' => array(
'id' => '674',
'unique_id' => 'm5h5c4t1p2',
'name' => 'Measurement units and their Decimal form',
'description' => 'We use decimals to represent the commonly represented measurement units. Let us see how we can do this.',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'measurement-units-and-their-decimal-form-2'
)
),
(int) 15 => array(
'activities' => array(
'id' => '676',
'unique_id' => 'm5h5c4t1p4',
'name' => 'Identify the place value',
'description' => 'Can you tell me the place value of the digit highlighted in red color?',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'identify-the-place-value-5'
)
),
(int) 16 => array(
'activities' => array(
'id' => '332',
'unique_id' => 'm3h5c1t13p1',
'name' => 'Multiply any number by 10',
'description' => 'In this activity you will be asked to multiply simple numbers using the number 10. You will observe a pattern and then will be able to see how easy it is to multiply any number by 10 without much effort.',
'keywords' => '',
'submodule_id' => '33',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'multiply-any-number-by-10-2'
)
),
(int) 17 => array(
'activities' => array(
'id' => '333',
'unique_id' => 'm3h5c1t13p2',
'name' => 'How to easily multiply any number by 100?',
'description' => 'In this activity you will learn how easy it is to multiply any number by 100 without much difficulty. You will see a pattern and will be able to multiply any number by 100 within seconds',
'keywords' => '',
'submodule_id' => '33',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'how-to-easily-multiply-any-number-by-100-2'
)
),
(int) 18 => array(
'activities' => array(
'id' => '334',
'unique_id' => 'm3h5c1t13p3',
'name' => 'Simplify the numbers and multiply',
'description' => 'How do you multiply bigger numbers easily. You just have to split the numbers and multiply them. This activity will teach you how to do this.',
'keywords' => '',
'submodule_id' => '33',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'simplify-the-numbers-and-multiply-2'
)
),
(int) 19 => array(
'activities' => array(
'id' => '978',
'unique_id' => 'm7h7c1t3p1',
'name' => 'Pick the correct option that shows scientific notation',
'description' => 'Are you familiar with scientific notation? This skill activity will test to see if you have understood the scientific notation.',
'keywords' => '',
'submodule_id' => '228',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'pick-the-correct-option-that-shows-scientific-notation-2'
)
),
(int) 20 => array(
'activities' => array(
'id' => '675',
'unique_id' => 'm5h5c4t1p3',
'name' => 'Represent the picture in decimals',
'description' => 'Look at the picture and determine what fraction is represented here.',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-the-picture-in-decimals-3'
)
),
(int) 21 => array(
'activities' => array(
'id' => '677',
'unique_id' => 'm5h5c4t1p5',
'name' => 'Expand the Decimal number',
'description' => 'Let us see how much you have understood about decimals. Can you write the expanded form of these decimals?',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'expand-the-decimal-number-3'
)
),
(int) 22 => array(
'activities' => array(
'id' => '678',
'unique_id' => 'm5h5c4t1p6',
'name' => 'Fraction as a decimal and vice versa',
'description' => 'Any fraction can be written in decimal form and any decimal can be written in the form of a fraction. Here, let us write some decimals in fraction form and vice versa.',
'keywords' => '',
'submodule_id' => '139',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-as-a-decimal-and-vice-versa-3'
)
),
(int) 23 => array(
'activities' => array(
'id' => '543',
'unique_id' => 'm4h5c4t2p1',
'name' => 'Equivalent Decimals',
'description' => 'We have learnt about equivalent fractions earlier. Adding zeros at the end of a decimal number creates equivalent decimals. Let us understand what this means and how these are useful.',
'keywords' => '',
'submodule_id' => '99',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'equivalent-decimals-2'
)
),
(int) 24 => array(
'activities' => array(
'id' => '544',
'unique_id' => 'm4h5c4t2p2',
'name' => 'Place Value Balance',
'description' => 'Can you click on place value blocks and try to balance the decimals on both sides of the place value balance? Notice that the balance tilts to the side that contains the bigger value.',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'place-value-balance-2'
)
),
(int) 25 => array(
'activities' => array(
'id' => '545',
'unique_id' => 'm4h5c4t2p3',
'name' => 'Decimal comparison using a numberline',
'description' => 'We can use numberlines to represent and compare decimals. Drag the numberline to represent the decimals and compare them. ',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'decimal-comparison-using-a-numberline-2'
)
),
(int) 26 => array(
'activities' => array(
'id' => '546',
'unique_id' => 'm4h5c4t2p4',
'name' => 'Comparison of decimals - Skill Practice',
'description' => 'Now that we know how to compare decimals, let us see how fast we can compare them.',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'comparison-of-decimals-skill-practice-2'
)
),
(int) 27 => array(
'activities' => array(
'id' => '547',
'unique_id' => 'm4h5c4t2p5',
'name' => 'Arrange the decimals',
'description' => 'Can you drag and arrange the decimals on the numberline in increasing order.',
'keywords' => '',
'submodule_id' => '99',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'arrange-the-decimals-2'
)
),
(int) 28 => array(
'activities' => array(
'id' => '552',
'unique_id' => 'm4h5c4t3p5',
'name' => 'Rounding of decimals using numberline',
'description' => 'Often we round off decimals to the nearest tenths or nearest unit, to make life easier when adding or subtracting decimals. For example, when we are at a grocery store, we can estimate the approximate cost if we round off the coins to the nearest dollar.',
'keywords' => '',
'submodule_id' => '100',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'rounding-of-decimals-using-numberline-2'
)
),
(int) 29 => array(
'activities' => array(
'id' => '504',
'unique_id' => 'm4h5c1t4p5',
'name' => 'Story Problems',
'description' => 'Let us see if you can understand the word problems and solve them. Try to use the properties of multiplication where possible.',
'keywords' => '',
'submodule_id' => '89',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'story-problems-2'
)
),
(int) 30 => array(
'activities' => array(
'id' => '679',
'unique_id' => 'm5h5c4t6p1',
'name' => 'Understand Multiplication of Decimals',
'description' => 'Let us use a block model to represent and understand multiplication of decimals. Drag the sliders to represent the two decimals to be multiplied, and add up the number of units, tenths and hundredths to get the result.',
'keywords' => '',
'submodule_id' => '140',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'understand-multiplication-of-decimals-2'
)
),
(int) 31 => array(
'activities' => array(
'id' => '680',
'unique_id' => 'm5h5c4t6p2',
'name' => 'Place the Decimals',
'description' => 'When we multiply two decimal numbers, you can simply ignore the decimals and multiply the numbers, and then place the decimal in the result at the correct location. Let us see how.',
'keywords' => '',
'submodule_id' => '140',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'place-the-decimals-2'
)
),
(int) 32 => array(
'activities' => array(
'id' => '505',
'unique_id' => 'm4h5c1t5p1',
'name' => 'Divide using array model',
'description' => 'We used array model earlier in multiplication. Let us see if we can use array model for division also.. Click on the arrows to increase or decrease the number of rows in the array model. ',
'keywords' => '',
'submodule_id' => '85',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'divide-using-array-model-3'
)
),
(int) 33 => array(
'activities' => array(
'id' => '506',
'unique_id' => 'm4h5c1t5p2',
'name' => 'Divide using place value dominos',
'description' => 'Let us represent numbers using place value dominos and try to divide them. If the dominos cannot be equally divided into the bins, you need to break them into smaller place values. ',
'keywords' => '',
'submodule_id' => '85',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'divide-using-place-value-dominos-3'
)
),
(int) 34 => array(
'activities' => array(
'id' => '616',
'unique_id' => 'm5h5c1t5p2',
'name' => 'Long division Practice(4 digits by 2 digits)',
'description' => 'Now that we know how to divide a 4 digit number by a 1 digit number, let us practice dividing a 4 digit number by a 2 digit number using long division method.',
'keywords' => '',
'submodule_id' => '121',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'long-division-practice-4-digits-by-2-digits-2'
)
),
(int) 35 => array(
'activities' => array(
'id' => '553',
'unique_id' => 'm4h5c4t4p1',
'name' => 'How much money do I have?',
'description' => 'Can you add up the coins and represent the amount of money in decimal form? As you know, 100 cents equals 1 dollar. You can exchange coins worth 100 cents into 1 dollar by dragging them into the bank.',
'keywords' => '',
'submodule_id' => '101',
'type' => '1',
'imagepath' => 'currency-us',
'help' => true,
'slug' => 'how-much-money-do-i-have-2'
)
),
(int) 36 => array(
'activities' => array(
'id' => '554',
'unique_id' => 'm4h5c4t4p2',
'name' => 'Let us add some money',
'description' => 'I have some money in my wallet. My friend David has some money in his wallet. How much money do we have together?',
'keywords' => '',
'submodule_id' => '101',
'type' => '2',
'imagepath' => 'currency-us',
'help' => true,
)
),
(int) 37 => array(
'activities' => array(
'id' => '555',
'unique_id' => 'm4h5c4t4p3',
'name' => 'Addition using place value blocks',
'description' => 'There are two decimals represented by place value blocks. Can you click on the blocks to add them and find the result?',
'keywords' => '',
'submodule_id' => '101',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 38 => array(
'activities' => array(
'id' => '556',
'unique_id' => 'm4h5c4t4p4',
'name' => 'Addition using decimal squares',
'description' => 'Let us represent the decimals on the decimal squares by dragging the sliders and then add them together by clicking on the "Add" button.',
'keywords' => '',
'submodule_id' => '101',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 39 => array(
'activities' => array(
'id' => '557',
'unique_id' => 'm4h5c4t4p5',
'name' => 'Represent using place value blocks and Add',
'description' => 'Can you represent the decimals using place value blocks and then add them by dragging the blocks from the top to the bottom?',
'keywords' => '',
'submodule_id' => '101',
'type' => '1',
'imagepath' => '',
'help' => true,
)
),
(int) 40 => array(
'activities' => array(
'id' => '558',
'unique_id' => 'm4h5c4t4p6',
'name' => 'Represent using place value blocks and Subtract',
'description' => 'Can you represent the decimals using place value blocks and then subtract them by dragging the blocks from the top to the bottom? Remember that if you do not have enough blocks to subtract, you will have to borrow (break) from the next higher place value.',
'keywords' => '',
'submodule_id' => '101',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'represent-using-place-value-blocks-and-subtract-2'
)
),
(int) 41 => array(
'activities' => array(
'id' => '640',
'unique_id' => 'm5h5c2t5p1',
'name' => 'Can you add the cake pieces',
'description' => 'We have learnt earlier how to add fractions that have the same denominator or where the denominators are multiples of each other. What should we do if the denominators are totally different? Well, we still need to make them equal by finding the equivalent fractions.',
'keywords' => '',
'submodule_id' => '131',
'type' => '1',
'imagepath' => '',
'help' => false,
)
),
(int) 42 => array(
'activities' => array(
'id' => '641',
'unique_id' => 'm5h5c2t5p2',
'name' => 'Addition with Fraction Strips',
'description' => 'When we have fractions that have denominators that are different from each other, we need to find the equivalent of both fractions that have the denominators equal. Let us use fraction strips to understand this. ',
'keywords' => '',
'submodule_id' => '131',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 43 => array(
'activities' => array(
'id' => '642',
'unique_id' => 'm5h5c2t5p3',
'description' => 'Now that we know how to add fractions that have different denominators, let us get some practice adding them.',
'keywords' => '',
'submodule_id' => '131',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 44 => array(
'activities' => array(
'id' => '645',
'unique_id' => 'm5h5c2t6p1',
'name' => 'Subtraction with Fraction Strips',
'description' => 'When we need to subtract fractions that have denominators that are different from each other, we again have to find the equivalent fractions that will make the denominators equal and then subtract them.',
'keywords' => '',
'submodule_id' => '132',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'subtraction-with-fraction-strips-2'
)
),
(int) 45 => array(
'activities' => array(
'id' => '646',
'unique_id' => 'm5h5c2t6p2',
'name' => 'Fraction subtraction practice',
'description' => 'Now that we know how to subtract fractions that have denominators that are different from each other, let us get some practice subtracting them. ',
'keywords' => '',
'submodule_id' => '132',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-subtraction-practice-2'
)
),
(int) 46 => array(
'activities' => array(
'id' => '644',
'unique_id' => 'm5h5c2t5p3b',
'name' => 'Word Problems',
'description' => 'Now, let us try to solve some examples from our day to day life that involve fraction addition.',
'keywords' => '',
'submodule_id' => '131',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'word-problems'
)
),
(int) 47 => array(
'activities' => array(
'id' => '648',
'unique_id' => 'm5h5c2t6p4',
'name' => 'Subtraction Word Problems',
'description' => 'Now, let us try to solve some examples from our day to day life that involve fraction subtraction.',
'keywords' => '',
'submodule_id' => '132',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'subtraction-word-problems-3'
)
),
(int) 48 => array(
'activities' => array(
'id' => '647',
'unique_id' => 'm5h5c2t6p3',
'name' => 'Fraction difference estimation',
'description' => 'Let us estimate the result of subtracting two fractions by finding their approximate equivalent. Look at the fractions and identify their closest equivalent among the fractions shown in the bottom.',
'keywords' => '',
'submodule_id' => '132',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-difference-estimation-2'
)
),
(int) 49 => array(
'activities' => array(
'id' => '643',
'unique_id' => 'm5h5c2t5p3a',
'description' => 'Let us estimate the result of adding two fractions by finding their approximate equivalent. Look at the fractions and identify their closest  equivalent among the fractions shown in the bottom.',
'keywords' => '',
'submodule_id' => '131',
'type' => '2',
'imagepath' => '',
'help' => true,
)
),
(int) 50 => array(
'activities' => array(
'id' => '583',
'unique_id' => 'mh5c2t4p1',
'name' => 'Improper Fractions and Mixed Fractions',
'description' => 'Some fractions are called Improper fractions. What is so improper about them? Let us find out.',
'keywords' => '',
'submodule_id' => '93',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'improper-fractions-and-mixed-fractions-2'
)
),
(int) 51 => array(
'activities' => array(
'id' => '584',
'unique_id' => 'mh5c2t4p2',
'name' => 'Write the improper fraction',
'description' => 'Now that we know what improper fractions are, let us represent some of the fractions shown. As always, count the number of colored divisions and divide by the number of divisions in a whole.',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-the-improper-fraction-2'
)
),
(int) 52 => array(
'activities' => array(
'id' => '585',
'unique_id' => 'mh5c2t4p3',
'name' => 'Write as mixed fraction',
'description' => 'Let us represent some of the fractions shown in mixed fraction form. ',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-as-mixed-fraction-2'
)
),
(int) 53 => array(
'activities' => array(
'id' => '586',
'unique_id' => 'mh5c2t4p4',
'name' => 'Represent as mixed fraction',
'description' => 'Let us use a fraction circle to represent mixed fractions. Divide the circle into the required number of divisions and then click on the divisions to represent the fraction.',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-as-mixed-fraction-2'
)
),
(int) 54 => array(
'activities' => array(
'id' => '587',
'unique_id' => 'mh5c2t4p5',
'name' => 'Represent using a numberline',
'description' => 'Improper fractions can be represented on a numberline. Let us explore this further. ',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-using-a-numberline-2'
)
),
(int) 55 => array(
'activities' => array(
'id' => '588',
'unique_id' => 'mh5c2t4p6',
'name' => 'Write the fractions shown',
'description' => 'Now that we have understood the concept behind improper fractions and mixed fractions, let us represent some of the fractions shown.',
'keywords' => '',
'submodule_id' => '93',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-the-fractions-shown-2'
)
),
(int) 56 => array(
'activities' => array(
'id' => '525',
'unique_id' => 'm4h5c2t7p1',
'name' => 'Multiplication as repeated addition',
'description' => 'We have learnt that multiplication is nothing but repeated addition of numbers. Multiplying a fraction by a whole number is also nothing but repeatedly adding the fraction a number of times as specified by the whole number.',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => false,
)
),
(int) 57 => array(
'activities' => array(
'id' => '526',
'unique_id' => 'm4h5c2t7p2',
'name' => 'Write the multiplication problem statement',
'description' => 'Now that we know that multiplication is same as repeated addition of fractions, let us see if we can identify the multiplication statement shown in the figure. ',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'write-the-multiplication-problem-statement-2'
)
),
(int) 58 => array(
'activities' => array(
'id' => '527',
'unique_id' => 'm4h5c2t7p3',
'name' => 'Let us serve some pies',
'description' => 'We have some guests for dinner and we are planning to serve a specific fraction of a pie to each one of them. Can you help me to calculate exactly how much pie I need?',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-serve-some-pies-2'
)
),
(int) 59 => array(
'activities' => array(
'id' => '528',
'unique_id' => 'm4h5c2t7p4',
'name' => 'Multiplication of whole number by a fraction',
'description' => 'Now we know how to multiply a fraction by a whole number. Is this same as multiplying the whole number by the fraction? In other words, is 4 times half same as half of 4? ',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'multiplication-of-whole-number-by-a-fraction-2'
)
),
(int) 60 => array(
'activities' => array(
'id' => '529',
'unique_id' => 'm4h5c2t7p5',
'name' => 'Fraction of a collection of objects',
'description' => 'We have a collection of objects below. Can you divide them into the boxes equally and find out how many objects the fraction in question represents.',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'fraction-of-a-collection-of-objects-2'
)
),
(int) 61 => array(
'activities' => array(
'id' => '530',
'unique_id' => 'm4h5c2t7p5a',
'name' => 'Multiply whole numbers with fractions',
'description' => 'Let us learn how to multiply a whole number with a fraction using the simple, step by step procedure. Once you master this, you will be able to solve difficult problems easily.',
'keywords' => '',
'submodule_id' => '96',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'multiply-whole-numbers-with-fractions-2'
)
),
(int) 62 => array(
'activities' => array(
'id' => '531',
'unique_id' => 'm4h5c2t7p6',
'name' => 'Let us practice multiplication',
'description' => 'Now that we know how to calculate the product of a fraction and a whole number, let us see how fast we can answer these questions.',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-practice-multiplication-2'
)
),
(int) 63 => array(
'activities' => array(
'id' => '532',
'unique_id' => 'm4h5c2t7p7',
'name' => 'Word Problems',
'description' => 'Shall we try solving some fraction multiplication problems that we come across in real life?',
'keywords' => '',
'submodule_id' => '96',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'word-problems-10'
)
),
(int) 64 => array(
'activities' => array(
'id' => '632',
'unique_id' => 'm5h5c1t8p5',
'name' => 'Estimate the result',
'description' => 'Understand the statement given below and use rounding to estimate the result. You can see how rounding makes it easier to estimate the result.',
'keywords' => '',
'submodule_id' => '124',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'estimate-the-result-3'
)
),
(int) 65 => array(
'activities' => array(
'id' => '656',
'unique_id' => 'm5h5c2t8p10',
'name' => 'Find the reciprocal fraction',
'description' => 'In order to divide a whole number by a fraction, you need to find the reciprocal of the fraction and multiply with the whole number.Let us get some practice finding reciprocals of fractions.',
'keywords' => '',
'submodule_id' => '137',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'find-the-reciprocal-fraction-2'
)
),
(int) 66 => array(
'activities' => array(
'id' => '657',
'unique_id' => 'm5h5c2t8p11',
'name' => 'Let us practice division',
'description' => 'Now that we know how to divide a whole number by a fraction, let us get some practice dividing them. Remember that you need to find the reciprocal of the fractions and multiply with the whole number.',
'keywords' => '',
'submodule_id' => '137',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-practice-division-2'
)
),
(int) 67 => array(
'activities' => array(
'id' => '663',
'unique_id' => 'm5h5c2t8p7',
'name' => 'Whole number by fraction division using models',
'description' => 'Let us use some simple examples from everyday life to understand what dividing a whole number by a fraction actually means.',
'keywords' => '',
'submodule_id' => '137',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'whole-number-by-fraction-division-using-models-2'
)
),
(int) 68 => array(
'activities' => array(
'id' => '664',
'unique_id' => 'm5h5c2t8p8',
'name' => 'Find the division statement',
'description' => 'Here we have some fraction division statements shown using some models. Can you identify the statements and find the answers.',
'keywords' => '',
'submodule_id' => '137',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'find-the-division-statement-2'
)
),
(int) 69 => array(
'activities' => array(
'id' => '665',
'unique_id' => 'm5h5c2t8p9',
'name' => 'Divide a chocolate bar',
'description' => 'There are some yummy chocolate bars that have been divided into certain number of pieces. Can you write the fraction division statements corresponding to each situation? ',
'keywords' => '',
'submodule_id' => '137',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'divide-a-chocolate-bar-2'
)
),
(int) 70 => array(
'activities' => array(
'id' => '655',
'unique_id' => 'm5h5c2t8p1',
'name' => 'Let us divide a fraction of Pizza',
'description' => 'I have a fraction of a full pizza and I need to divide this portion equally to some people. Can you help me do this.',
'keywords' => '',
'submodule_id' => '138',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'let-us-divide-a-fraction-of-pizza-2'
)
),
(int) 71 => array(
'activities' => array(
'id' => '658',
'unique_id' => 'm5h5c2t8p2',
'name' => 'Share a portion of the Pie',
'description' => 'I have a portion of a pie that I need divided equally into certain number of slices. Click on the pie pieces to divide them equally and then write the division statement.',
'keywords' => '',
'submodule_id' => '138',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'share-a-portion-of-the-pie-2'
)
),
(int) 72 => array(
'activities' => array(
'id' => '659',
'unique_id' => 'm5h5c2t8p3',
'name' => 'Represent in multiplication form',
'description' => 'In order to divide a fraction by a whole number, you need to multiply the fraction by the reciprocal of the whole number. Let us write the multiplication forms of the following division statements. ',
'keywords' => '',
'submodule_id' => '138',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-in-multiplication-form-2'
)
),
(int) 73 => array(
'activities' => array(
'id' => '660',
'unique_id' => 'm5h5c2t8p4',
'name' => 'Complete the sentence',
'description' => 'Can you complete the division statements and write the answers.',
'keywords' => '',
'submodule_id' => '138',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'complete-the-sentence-2'
)
),
(int) 74 => array(
'activities' => array(
'id' => '661',
'unique_id' => 'm5h5c2t8p5',
'name' => 'Let us practice division',
'description' => 'Let us practice dividing fractions by whole numbers. Remember that you need to multiply by the reciprocal of the number to get the answer.',
'keywords' => '',
'submodule_id' => '138',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-practice-division-3'
)
),
(int) 75 => array(
'activities' => array(
'id' => '662',
'unique_id' => 'm5h5c2t8p6',
'name' => 'Word problems',
'description' => 'Can you understand the following situations and find solutions.',
'keywords' => '',
'submodule_id' => '138',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'word-problems-2'
)
),
(int) 76 => array(
'activities' => array(
'id' => '275',
'unique_id' => 'm3h3c1t3p5',
'name' => 'Conversion between kilometer and meter',
'description' => '1 Kilometer is equal to 1000 meters. Let us convert kilometers into meters and vice versa..',
'keywords' => '',
'submodule_id' => '64',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'conversion-between-kilometer-and-meter-2'
)
),
(int) 77 => array(
'activities' => array(
'id' => '151',
'unique_id' => 'm2h3c1t3p7',
'name' => 'Conversion between meter and centimeter',
'description' => '1 meter is equal to 100 centimeters. Let us see if you can convert between meters and centimeters.',
'keywords' => '',
'submodule_id' => '169',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'conversion-between-meter-and-centimeter-2'
)
),
(int) 78 => array(
'activities' => array(
'id' => '548',
'unique_id' => 'm4h5c4t3p1',
'name' => 'Exploring decimals on a numberline',
'description' => ' As we have seen earlier, each unit has 10 tenths and each tenth has ten hundredths. Let us see how this looks on a number line.',
'keywords' => '',
'submodule_id' => '100',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'exploring-decimals-on-a-numberline-2'
)
),
(int) 79 => array(
'activities' => array(
'id' => '549',
'unique_id' => 'm4h5c4t3p2',
'name' => 'Represent on a numberline',
'description' => 'Let us represent decimals on a number line. Drag the sliders to move on the number line.',
'keywords' => '',
'submodule_id' => '100',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'represent-on-a-numberline-2'
)
),
(int) 80 => array(
'activities' => array(
'id' => '550',
'unique_id' => 'm4h5c4t3p3',
'name' => 'What is the decimal shown?',
'description' => 'Now that we know how to represent decimals on a number line, let us see if we can figure out the decimal number being pointed to. Hint: Look at the starting number on the number line, and count tenths and hundredths as you move along the number line.',
'keywords' => '',
'submodule_id' => '100',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'what-is-the-decimal-shown-2'
)
),
(int) 81 => array(
'activities' => array(
'id' => '551',
'unique_id' => 'm4h5c4t3p4',
'name' => 'Estimate the decimal',
'description' => 'Let us see how good you are at locating decimals on a number line. You will be given a number line with only the beginning and ending numbers. You will be asked to locate a given decimal on the number line. You can click on "show division lines" to make the task easier.',
'keywords' => '',
'submodule_id' => '100',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'estimate-the-decimal-2'
)
),
(int) 82 => array(
'activities' => array(
'id' => '138',
'unique_id' => 'm2h3c1t2p1',
'name' => 'Introduction to Volume',
'description' => 'Two different containers are shown. Now try to find out which holds more water. Reason out why?',
'keywords' => '',
'submodule_id' => '171',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'introduction-to-volume-2'
)
),
(int) 83 => array(
'activities' => array(
'id' => '603',
'unique_id' => 'm5h3c2t1p1',
'name' => 'Can you count the number of cubes',
'description' => ' The space occupied by any three dimensional shape is described in terms of the number of unit cubes occupying the space. Let us count the number of unit cubes to find the space occupied by these boxes.',
'keywords' => '',
'submodule_id' => '149',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'can-you-count-the-number-of-cubes-2'
)
),
(int) 84 => array(
'activities' => array(
'id' => '604',
'unique_id' => 'm5h3c2t1p2',
'name' => 'Let us fill the box with cubes',
'description' => 'Let us find the volumes of the boxes shown by finding out how many unit cubes can be filled into the boxes.',
'keywords' => '',
'submodule_id' => '149',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-fill-the-box-with-cubes-2'
)
),
(int) 85 => array(
'activities' => array(
'id' => '605',
'unique_id' => 'm5h3c2t1p3',
'name' => 'Find the volume of the box',
'description' => 'Now that we have seen that the volume can be found by simply multiplying the length, width and height of the boxes, let us see if we can find the volumes of these boxes.',
'keywords' => '',
'submodule_id' => '149',
'type' => '2',
'imagepath' => '',
'help' => false,
'slug' => 'find-the-volume-of-the-box-2'
)
),
(int) 86 => array(
'activities' => array(
'id' => '606',
'unique_id' => 'm5h3c2t1p4',
'name' => 'Let us compare volumes',
'description' => 'Here we have two boxes filled with unit cubes. Can you find if the box on the left has lesser, greater or equal volume as the box on the right?',
'keywords' => '',
'submodule_id' => '149',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-compare-volumes-2'
)
),
(int) 87 => array(
'activities' => array(
'id' => '607',
'unique_id' => 'm5h3c2t1p5',
'name' => 'Find the correct height',
'description' => 'Upto what height do I need to fill the second box so that both boxes have the same volume? Hint: If I transfer all the cubes from the first box to second box, upto what height will the second box get filled?',
'keywords' => '',
'submodule_id' => '149',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'find-the-correct-height-2'
)
),
(int) 88 => array(
'activities' => array(
'id' => '608',
'unique_id' => 'm5h3c2t1p6',
'name' => 'Relate cube volume to liquid volume',
'description' => 'An unit cube of size 1 cubic cm (which means it has all the sides measuring 1 cm) has a volume of 1 millilitre. Let us drop such cubes into water and see how much water it displaces.',
'keywords' => '',
'submodule_id' => '149',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'relate-cube-volume-to-liquid-volume-2'
)
),
(int) 89 => array(
'activities' => array(
'id' => '1148',
'unique_id' => 'm9h3c1t1p4',
'name' => 'Volume of a Prism',
'description' => 'Volume of any prism can be found by multiplying the area of its cross section by its height. Let us explore..',
'keywords' => 'surface area, volume, prism, rectangular prism, triangular prism',
'submodule_id' => '34',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'volume-of-a-prism-2'
)
),
(int) 90 => array(
'activities' => array(
'id' => '1149',
'unique_id' => 'm9h3c1t1p5',
'name' => 'Volume of a Cylinder',
'description' => 'A Cylinder can be formed by stacking many circles of equal radii on top of each other. The volume of a cylinder can be found by adding the areas of all these circles. Since these circles have the same area, it is equivalent to multiplying the area of one circle by the height of the cylinder',
'keywords' => 'surface area, volume, cylinder, curved surface',
'submodule_id' => '34',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'volume-of-a-cylinder-2'
)
),
(int) 91 => array(
'activities' => array(
'id' => '1150',
'unique_id' => 'm9h3c1t1p6',
'name' => 'Volume of a Cone',
'description' => 'If we fill a cone with any liquid and then pour this liquid into a cylinder with the same base radius and height as the cone, exactly one third of the cylinder will get filled. This shows that the volume of a cone is exactly one third the volume of a cylinder with same base radius and height',
'keywords' => 'surface area, volume, cone, curved surface',
'submodule_id' => '34',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'volume-of-a-cone-2'
)
),
(int) 92 => array(
'activities' => array(
'id' => '1151',
'unique_id' => 'm9h3c1t2p1',
'name' => 'Volume and Surface Areas of Cuboids - Practice',
'description' => 'Let us practice finding the volumes and surface areas of cubes and cuboids.',
'keywords' => 'surface area, volume, cube, cuboid, rectangular prism',
'submodule_id' => '35',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'volume-and-surface-areas-of-cuboids-practice-2'
)
),
(int) 93 => array(
'activities' => array(
'id' => '990',
'unique_id' => 'm8h2c2t1p1',
'name' => 'Find the locations',
'description' => 'Using the arrows, let us help the motor cyclist navigate to the locations in question. As he moves, notice how his X and Y positions change.',
'keywords' => '',
'submodule_id' => '263',
'type' => '1',
'imagepath' => '',
'help' => false,
'slug' => 'find-the-locations-2'
)
),
(int) 94 => array(
'activities' => array(
'id' => '991',
'unique_id' => 'm8h2c2t1p2',
'name' => 'Coordinates with Chess board',
'description' => 'During a chess game, the 64 squares on a chess board are denoted using a Coordinate System with letters on the side and numbers on top. Let us see if we can identify some of the squares.',
'keywords' => '',
'submodule_id' => '263',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'coordinates-with-chess-board-2'
)
),
(int) 95 => array(
'activities' => array(
'id' => '992',
'unique_id' => 'm8h2c2t1p3',
'name' => 'Find the missing puzzle pieces',
'description' => 'There are puzzle pieces hidden at different locations. Can you locate the coordinates given and find all the puzzle pieces? ',
'keywords' => '',
'submodule_id' => '263',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'find-the-missing-puzzle-pieces-2'
)
),
(int) 96 => array(
'activities' => array(
'id' => '993',
'unique_id' => 'm8h2c2t1p4',
'name' => 'Relative Coordinates',
'description' => 'Relative coordinates are used to describe a location based on the current location. Let us see if we can identify some locations described relative to a current position.',
'keywords' => '',
'submodule_id' => '263',
'type' => '4',
'imagepath' => '',
'help' => true,
'slug' => 'relative-coordinates-2'
)
),
(int) 97 => array(
'activities' => array(
'id' => '299',
'unique_id' => 'm3h4c2t1p1',
'name' => 'Let us play with rectangles',
'description' => 'Let us understand the properties of a rectangle. Drag the corners to increase or decrease the size of the rectangle. Notice that the opposite sides always remain equal and parallel. In addition, notice that all the sides of a rectangle are perpendicular to each other.',
'keywords' => '',
'submodule_id' => '74',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'let-us-play-with-rectangles-2'
)
),
(int) 98 => array(
'activities' => array(
'id' => '300',
'unique_id' => 'm3h4c2t1p2',
'name' => 'Special form of rectangle called Square',
'description' => 'A square is a special rectangle with all sides equal. Drag the corners to increase or decrease the size of the square. Notice that it is basically same as a rectangle except for the fact that all sides are always equal.',
'keywords' => '',
'submodule_id' => '74',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'special-form-of-rectangle-called-square-2'
)
),
(int) 99 => array(
'activities' => array(
'id' => '466',
'unique_id' => 'm4h4c2t1p1',
'name' => 'Properties of a Parallelogram',
'description' => 'A parallelogram is very similar to a rectangle, except that the sides are not perpendicular to each other. Drag the vertices of the parallelogram and observe how the parallelogram behaves. What difference do you notice compared to a rectangle?',
'keywords' => '',
'submodule_id' => '115',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-parallelogram-2'
)
),
(int) 100 => array(
'activities' => array(
'id' => '467',
'unique_id' => 'm4h4c2t1p2',
'name' => 'Special form of Parallelogram - Rhombus',
'description' => 'A rhombus is a special case of a parallelogram with all sides equal. You can also think of it as a square with the sides not perpendicular to each other. Drag the vertices of the rhombus and observe it behaves. What difference do you notice compared to a parallelogram and a square? ',
'keywords' => '',
'submodule_id' => '115',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'special-form-of-parallelogram-rhombus-2'
)
),
(int) 101 => array(
'activities' => array(
'id' => '764',
'unique_id' => 'm6h4c1t4p3',
'name' => 'Parallelogram',
'description' => 'A parallelogram is very similar to a rectangle, except that the sides are not perpendicular to each other. Drag the vertices of the parallelogram and observe how the parallelogram behaves. What difference do you notice compared to a rectangle?',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'parallelogram-2'
)
),
(int) 102 => array(
'activities' => array(
'id' => '766',
'unique_id' => 'm6h4c1t4p5',
'name' => 'Trapezium',
'description' => 'A trapezium (also called as trapezoid) has 4 sides, out of which two are always parallel to each other. Drag the vertices of the trapezium to observe how it behaves. What shape do you get if you make the other two sides also parallel?',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'trapezium-2'
)
),
(int) 103 => array(
'activities' => array(
'id' => '765',
'unique_id' => 'm6h4c1t4p4',
'name' => 'Rhombus',
'description' => 'A rhombus is a special case of a parallelogram with all sides equal. You can also think of it as a square with the sides not perpendicular to each other. Drag the vertices of the rhombus and observe how it behaves. What difference do you notice compared to a parallelogram and a square? ',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'rhombus-2'
)
),
(int) 104 => array(
'activities' => array(
'id' => '762',
'unique_id' => 'm6h4c1t4p1',
'name' => 'Rectangle',
'description' => 'Let us understand the properties of a rectangle. Drag the corners to increase or decrease the size of the rectangle. Notice that the opposite sides always remain equal and parallel. In addition, notice that all the sides of a rectangle are perpendicular to each other.',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'rectangle-2'
)
),
(int) 105 => array(
'activities' => array(
'id' => '763',
'unique_id' => 'm6h4c1t4p2',
'name' => 'Square',
'description' => 'A square is a special rectangle with all sides equal. Drag the corners to increase or decrease the size of the square. Notice that it is basically same as a rectangle except for the fact that all sides are always equal.',
'keywords' => '',
'submodule_id' => '206',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'square-2'
)
),
(int) 106 => array(
'activities' => array(
'id' => '1001',
'unique_id' => 'm8h4c1t1p2',
'name' => 'Properties of a Paralellogram',
'description' => 'Let us understand the properties of the sides, angles and diagonals of a parallelogram.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-paralellogram-2'
)
),
(int) 107 => array(
'activities' => array(
'id' => '1002',
'unique_id' => 'm8h4c1t1p3',
'name' => 'Properties of a Rhombus',
'description' => 'Rhombus is a special case of a Parallelogram where all the sides are equal. Let us understand the properties of the sides, angles and diagonals of a Rhombus.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-rhombus-2'
)
),
(int) 108 => array(
'activities' => array(
'id' => '1003',
'unique_id' => 'm8h4c1t1p4',
'name' => 'Properties of a kite',
'description' => 'Kite is a special quadrilateral where one pair of adjacent sides are equal. Let us understand the properties of the sides, angles and diagonals of a Kite.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-kite-2'
)
),
(int) 109 => array(
'activities' => array(
'id' => '1004',
'unique_id' => 'm8h4c1t1p5',
'name' => 'Properties of a trapezium',
'description' => 'Trapezium has one pair of opposite sides parallel. Let us understand the properties of the sides, angles and diagonals of a Trapezium.',
'keywords' => '',
'submodule_id' => '1',
'type' => '1',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-trapezium-3'
)
),
(int) 110 => array(
'activities' => array(
'id' => '1209',
'unique_id' => 'm9h4c6t1p4',
'name' => 'Properties of a Parallelogram - Practice',
'description' => 'Let us see how much you have understood the various properties of a parallelogram. Use the properties to answer the questions in this activity..',
'keywords' => 'parallelogram, diagonals, properties',
'submodule_id' => '47',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-parallelogram-practice-2'
)
),
(int) 111 => array(
'activities' => array(
'id' => '1211',
'unique_id' => 'm9h4c6t1p6',
'name' => 'Properties of a Rhombus - Practice',
'description' => 'Use the properties of Rhombus to answer the questions in this activity..',
'keywords' => 'rhombus, diagonals, properties',
'submodule_id' => '47',
'type' => '2',
'imagepath' => '',
'help' => true,
'slug' => 'properties-of-a-rhombus-practice-2'
)
)
)
\$checkCombat = array(
(int) 0 => array(
'Activity' => array(
'unique_id' => 'm1ah5c1t3pa2p8'
)
),
(int) 1 => array(
'Activity' => array(
'unique_id' => 'm1h5c1t1p6'
)
),
(int) 2 => array(
'Activity' => array(
'unique_id' => 'm1h5c1t2p9'
)
),
(int) 3 => array(
'Activity' => array(
'unique_id' => 'm2h5c1t4p6a'
)
),
(int) 4 => array(
'Activity' => array(
'unique_id' => 'm3h5c1t12p5'
)
),
(int) 5 => array(
'Activity' => array(
'unique_id' => 'mh4c1t4p10'
)
),
(int) 6 => array(
'Activity' => array(
'unique_id' => 'mh4c1t4p9'
)
),
(int) 7 => array(
'Activity' => array(
'unique_id' => 'm6h4c1t1p5'
)
),
(int) 8 => array(
'Activity' => array(
'unique_id' => 'm6h4c1t3p6'
)
),
(int) 9 => array(
'Activity' => array(
'unique_id' => 'm6h4c1t5p5'
)
),
(int) 10 => array(
'Activity' => array(
'unique_id' => 'm7h4c3t1p10'
)
),
(int) 11 => array(
'Activity' => array(
'unique_id' => 'm9h16c1t1p5'
)
),
(int) 12 => array(
'Activity' => array(
'unique_id' => 'm9h1c1t1p12'
)
),
(int) 13 => array(
'Activity' => array(
'unique_id' => 'm9h1c1t2p8'
)
),
(int) 14 => array(
'Activity' => array(
'unique_id' => 'm9h2c1t1p9'
)
),
(int) 15 => array(
'Activity' => array(
'unique_id' => 'm9h2c1t2p12'
)
),
(int) 16 => array(
'Activity' => array(
'unique_id' => 'm9h2c1t3p9'
)
),
(int) 17 => array(
'Activity' => array(
'unique_id' => 'm9h4c1t1p6'
)
),
(int) 18 => array(
'Activity' => array(
'unique_id' => 'm9h4c3t1p5'
)
),
(int) 19 => array(
'Activity' => array(
'unique_id' => 'm9h4c3t2p6'
)
),
(int) 20 => array(
'Activity' => array(
'unique_id' => 'm9h4c4t1p6'
)
),
(int) 21 => array(
'Activity' => array(
'unique_id' => 'm10h15c1t1p10'
)
),
(int) 22 => array(
'Activity' => array(
'unique_id' => 'm10h16c1t1p6'
)
),
(int) 23 => array(
'Activity' => array(
'unique_id' => 'm10h2c1t1p9'
)
),
(int) 24 => array(
'Activity' => array(
'unique_id' => 'm10h4c4t1p11'
)
)
)
\$MATHLATHON_DOMAIN = 'www.mathlathon.org'
\$country_id = '1'
\$countries_list = array(
(int) 0 => array(
'Country' => array(
'id' => '1',
'name' => 'United States'
)
),
(int) 1 => array(
'Country' => array(
'id' => '82',
'name' => 'India'
)
)
)
\$MEDIA_URL = ''
\$xml = object(SimpleXMLElement) {
mainTopic => array(
(int) 0 => object(SimpleXMLElement) {},
(int) 1 => object(SimpleXMLElement) {},
(int) 2 => object(SimpleXMLElement) {},
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