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- 6. Mathematical process standards
- 6.1. The student uses mathematical processes to acquire and demonstrate mathematical understanding.
- 6.1A. Apply mathematics to problems arising in everyday life, society, and the workplace.
- Broken Calculator
- Find the correct Trail
- Application Problems
- Car Expense Record
- Solve the word problems
- Addition Skill Practice
- Subtraction Skill Practice
- Long division using oranges - Revision
- Division in everyday Life
- Story Problems
- Help the Roman!
- Identify the item purchased
- Word Problems
- Subtraction Word Problems
- Word Problems
- Can you add the cake pieces
- How many more balls to select?
- Divide a chocolate bar
- Share a portion of the Pie
- Word problems
- Find the distances between cities
- Let us go for a ride
- 6.1B. Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.
- 6.1C. Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.
- Identify the item purchased
- Estimate the result
- Identify the item purchased
- Round and find the result
- Estimate the result
- Rounding Accuracy
- How many sea animals can you catch?
- What number is this?
- Spinning Game
- Sieve of Eratosthenes
- Identify the Prime numbers
- Unlock the Factor Tiles
- Shoot the Balloons - Factors
- 6.1D. Communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate.
- What are Factors?
- Find all possible factors
- Rounding of decimals using numberline
- Represent the number using Dominos
- What does the number represent?
- Standard and expanded forms
- Roman Number Representation
- Square numbers
- Triangular numbers
- Write the multiplication statement
- Divide a chocolate bar
- Share a portion of the Pie
- Let us represent one thousandth of a unit
- Represent the picture in decimals
- 6.1E. Create and use representations to organize, record, and communicate mathematical ideas.
- 6.1F. Analyze mathematical relationships to connect and communicate mathematical ideas.
- 6.1G. Display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.
- Divisibility Test for the number 3
- Divisibility Test for the number 6
- Divisibility Test for the number 9
- Divisibility Test for the number 4
- Commutative Property of Multiplication
- Distributive Property of Multiplication
- Using Distributive Property
- Using Distributive Property for bigger problems
- Odd and Even Game
- Divisibility Test for the number 2
- Divisibility Test for the number 5
- Divisibility Test for the number 10
- Pop the bubbles - Divisibility test game
- Can you help me with the Recipe?
- 6.1A. Apply mathematics to problems arising in everyday life, society, and the workplace.
- 6.1. The student uses mathematical processes to acquire and demonstrate mathematical understanding.
- 6. Number and operations
- 6.2. The student applies mathematical process standards to represent and use rational numbers in a variety of forms.
- 6.2A. Classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers.
- 6.2B. Identify a number, its opposite, and its absolute value.
- 6.2C. Locate, compare, and order integers and rational numbers using a number line.
- 6.2D. Order a set of rational numbers arising from mathematical and real-world contexts.
- 6.2E. Extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0.
- 6.3. The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions.
- 6.3A. Recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values.
- 6.3B. Determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one.
- Multiplication as repeated addition
- Write the multiplication problem statement
- Let us serve some pies
- Multiplication of whole number by a fraction
- Fraction of a collection of objects
- Multiply whole numbers with fractions
- Let us practice multiplication
- Word Problems
- Meaning of Fraction of a Fraction
- Let us find fraction of a fraction
- 6.3C. Represent integer operations with concrete models and connect the actions with the models to standardized algorithms.
- Explore Addition
- Addition chips
- Addition using a number line
- Subtraction chips
- Subtraction using a number line
- Practice integer operations using car
- Integer Number Line
- Integer Millionaire
- A game for teaching integers
- Integer addition with counters
- Integer subtraction using counters
- Teach integer operations using car
- Multiplication of Integers - An Introduction
- Multiplication as repeated addition
- Multiplication using flip over method
- Multiplication using array model
- Multiplication skill practice
- Division using flip over method
- Skill Practice for Integer Multiplication & Division
- Combination of Multiplication & Division
- 6.3D. Add, subtract, multiply, and divide integers fluently.
- 6.3E. Multiply and divide positive rational numbers fluently.
- 6.2. The student applies mathematical process standards to represent and use rational numbers in a variety of forms.
- 6. Proportionality
- 6.4. The student applies mathematical process standards to develop an understanding of proportional relationships in problem situations.
- 6.4A. Compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to differentiate between additive and multiplicative relationships.
- 6.4B. Apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates.
- 6.4C. Give examples of ratios as multiplicative comparisons of two quantities describing the same attribute.
- 6.4D. Give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients.
- 6.4E. Represent ratios and percents with concrete models, fractions, and decimals.
- 6.4F. Represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers.
- 6.4G. Generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money.
- 6.4H. Convert units within a measurement system, including the use of proportions and unit rates.
- Conversion between kilometer and meter
- Let us add some lengths
- Conversion between Kilograms and Grams
- How many containers does it take?
- Various measuring standards
- Conversion between meter and centimeter
- Conversion between liters and milliliters
- Fun with Gallon Man
- Make a Dollar from Cents
- How many dollars and cents?
- 6.5. The student applies mathematical process standards to solve problems involving proportional relationships.
- 6.5A. Represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions.
- 6.5B. Solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models.
- 6.5C. Use equivalent fractions, decimals, and percents to show equal parts of the same whole.
- 6.4. The student applies mathematical process standards to develop an understanding of proportional relationships in problem situations.
- 6. Expressions, equations, and relationships
- 6.6. The student applies mathematical process standards to use multiple representations to describe algebraic relationships.
- 6.6A. Identify independent and dependent quantities from tables and graphs.
- 6.6B. Write an equation that represents the relationship between independent and dependent quantities from a table.
- 6.6C. Represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b.
- 6.7. The student applies mathematical process standards to develop concepts of expressions and equations.
- 6.7A. Generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization.
- 6.7B. Distinguish between expressions and equations verbally, numerically, and algebraically.
- 6.7C. Determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations.
- 6.7D. Generate equivalent expressions using the properties of operations. inverse, identity, commutative, associative, and distributive properties.
- 6.8. The student applies mathematical process standards to use geometry to represent relationships and solve problems.
- 6.8A. Extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle.
- 6.8B. Model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes.
- 6.8C. Write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.
- 6.8D. Determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.
- 6.9. The student applies mathematical process standards to use equations and inequalities to represent situations.
- 6.9A. Write one-variable, one-step equations and inequalities to represent constraints or conditions within problems.
- 6.9B. Represent solutions for one-variable, one-step equations and inequalities on number lines.
- 6.9C. Write corresponding real-world problems given one-variable, one-step equations or inequalities.
- 6.10. The student applies mathematical process standards to use equations and inequalities to solve problems.
- 6.6. The student applies mathematical process standards to use multiple representations to describe algebraic relationships.
- 6. Measurement and data
- 6.11. The student applies mathematical process standards to use coordinate geometry to identify locations on a plane.
- 6.12. The student applies mathematical process standards to use numerical or graphical representations to analyze problems.
- 6.12A. Represent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box plots.
- 6.12B. Use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution.
- 6.12C. Summarize numeric data with numerical summaries, including the mean and median (measures of center) and the range and interquartile range (IQR) (measures of spread), and use these summaries to describe the center, spread, and shape of the data distribution.
- 6.12D. Summarize categorical data with numerical and graphical summaries, including the mode, the percent of values in each category (relative frequency table), and the percent bar graph, and use these summaries to describe the data distribution.
- 6.13. The student applies mathematical process standards to use numerical or graphical representations to solve problems.
- 6. Personal financial literacy
- 6.14. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor.
- 6.14A. Compare the features and costs of a checking account and a debit card offered by different local financial institutions.
- 6.14B. Distinguish between debit cards and credit cards.
- 6.14C. Balance a check register that includes deposits, withdrawals, and transfers.
- 6.14D. Explain why it is important to establish a positive credit history.
- 6.14E. Describe the information in a credit report and how long it is retained.
- 6.14F. Describe the value of credit reports to borrowers and to lenders.
- 6.14G. Explain various methods to pay for college, including through savings, grants, scholarships, student loans, and work-study.
- 6.14H. Compare the annual salary of several occupations requiring various levels of post-secondary education or vocational training and calculate the effects of the different annual salaries on lifetime income.
- 6.14A. Compare the features and costs of a checking account and a debit card offered by different local financial institutions.
- 6.14. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor.