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- 4.OA Operations and Algebraic Thinking
- 4 Use the four operations with whole numbers to solve problems.
- 4.OA.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
- 4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.
- 4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
- Why order of operations is important
- Place the brackets
- Click on the symbols in the correct order
- Drag and place the numbers
- Fit the numbers and symbols
- Rounding to the nearest Tens
- Rounding to the nearest Hundreds
- Rounding to the nearest Thousands
- Identify the item purchased
- Estimate the result
- Let us share some objects
- Understanding Division
- Frame the division statement
- How many groups can you form?
- Repeated subtraction using a Numberline
- Click on the correct Rabbit
- 4 Gain familiarity with factors and multiples.
- 4.OA.4 Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.
- What is a Prime Number?
- Prime and Composite Numbers
- Arrange the number to form a rectangle
- Prime Numbers using Block Array
- Sieve of Eratosthenes
- Twin Primes
- Identify the Prime numbers
- What are Factors?
- Find all possible factors
- Unlock the Factor Tiles
- Introduction to Multiples
- Patterns in Multiples
- Shoot the Balloons - Factors
- 4.OA.4 Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.
- 4 Generate and analyze patterns.
- 4 Use the four operations with whole numbers to solve problems.
- 4.NBT Number and Operations in Base Ten
- 4 Generalize place value understanding for multi-digit whole numbers.
- 4.NBT.1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
- 4.NBT.2 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
- 5. Mentally calculate products of one-digit numbers and one-digit multiples of 10, 100, and 1000 (e.g., 7 × 6000). Mentally calculate whole number quotients with divisors of 10 and 100.
- 6. Compute products and whole number quotients of two-, three- or four-digit numbers and one-digit numbers, and compute products of two two-digit numbers, using strategies based on place value, the properties of operations, and/or the inverse relationship between multiplication and division; explain the reasoning used.
- Divide using place value dominos
- Long division using oranges - Revision
- Long division practice
- Multiply using place value blocks
- Step by Step Multiplication
- Step by Step Multiplication
- Division using long division method
- Long division practice
- Divide using place value dominos
- Let us bag some oranges
- Long division Practice(4 digits by 1 digit)
- Represent using blocks
- 7. Explain why multiplication and division strategies and algorithms work, using place value and the properties of operations.
- 8. Compute products of two-digit numbers using the standard algorithm, and check the result using estimation.
- 9. Given two whole numbers, find an equation displaying the largest multiple of one which is less than or equal to the other.
- Numbers up to 100,000
- 1. Understand that a digit in one place represents ten times what it represents in the place to its right. For example, 7 in the thousands place represents 10 times as many as than 7 in the hundreds place.
- 2. Read, write and compare numbers to 100,000 using base-ten notation, number names, and expanded form.
- 4 Generalize place value understanding for multi-digit whole numbers.
- Number Operations and the Problems They Solve 4-NOP
- Problem solving with the four operations
- 2. Solve multistep word problems involving the four operations with whole numbers.
- 3. Solve problems posed with both whole numbers and fractions. Understand that while quantities in a problem might be described with whole numbers, fractions, or decimals, the operations used to solve the problem depend on the relationships between the quantities regardless of which number representations are involved.
- 4. Assess the reasonableness of answers using mental computation and estimation strategies including rounding to the nearest 10 or 100.
- Problem solving with the four operations
- Measurement and Data 4-MD
- The number line and units of measure
- Perimeter and area
- 2. Understand that if a region is decomposed into several disjoint pieces, then the area of the region can be found by adding the areas of the pieces (when these areas are expressed in the same units).
- 3. Apply the formulas for area of squares and rectangles. Measure and compute whole-square-unit areas of objects and regions enclosed by geometric figures which can be decomposed into rectangles.
- 4. Find one dimension of a rectangle, given the other dimension and the area or perimeter; find the length of one side of a square, given the area or perimeter. Represent these problems using equations involving a letter for the unknown quantity.
- Angle measurement
- 5. Understand what an angle is and how it is measured: a. An angle is formed by two rays with a common endpoint. b. An angle is measured by reference to a circle with its center at the common endpoint of the rays. The measure of an angle is based on the fraction of the circle between the points where the two rays intersect the circle. c. A one-degree angle turns through 1/360 of a circle, where the circle is centered at the common endpoint of its rays; the measure of a given angle is the number of one-degree angles turned with no gaps or overlaps.
- 6. Measure angles in whole-number degrees using a protractor; sketch angles of specified measure; find the measure of a missing part of an angle, given the measure of the angle and the measure of a part of it, representing these problems with equations involving a letter for the unknown quantity
- Representing and interpreting data
- Number Fractions 4-NF
- Operations on fractions
- 1. Understand addition of fractions:a. Adding or subtracting fractions with the same denominator means adding or subtracting copies of unit fractions. b. Sums of related fractions can be computed by replacing one with an equivalent fraction that has the same denominator as the other.
- Let us have some Pizza
- Fraction addition with colors
- Addition with Fraction Strips
- Write the addition problem
- Fraction addition using Numberline
- Fraction addition practice
- Word problems
- Let us serve some Pizza
- Subtraction with Fraction Strips
- Write the subtraction problem
- Fraction subtraction using Numberline
- Fraction subtraction practice
- Word problems
- 2. Compute sums and differences of fractions with like denominators, add and subtract related fractions within 1 (e.g., 1/2 + 1/4, 3/10 + 4/100, 7/8 , 1/4), and solve word problems involving these operations.
- 3. Understand that the meaning of multiplying a fraction by a whole number comes from interpreting multiplication by a whole number as repeated addition. For example, 3 × 2/5 = 6/5 because 3 × 2/5 = 2/5 + 2/5 + 2/5 = 6/5.
- 4. Solve word problems that involve multiplication of fractions by whole numbers; represent multiplication of fractions by whole numbers using tape diagrams and area models that explain numerical results.
- 5. Understand that fractions give meaning to the quotient of any whole number by any non-zero whole number. 6. Solve word problems that involve non-whole number quotients of whole numbers; represent quotients of whole numbers using tape diagrams and area models that explain numerical results.
- 1. Understand addition of fractions:a. Adding or subtracting fractions with the same denominator means adding or subtracting copies of unit fractions. b. Sums of related fractions can be computed by replacing one with an equivalent fraction that has the same denominator as the other.
- Structuring rectangular shapes
- 3. Understand that rectangular regions can be tiled with squares in rows and columns, or decomposed into such arrays.
- 4. Structure a rectangular region spatially by decomposing it into rows and columns of squares. Determine the number of squares in the region using that spatial structure (e.g., by multiplication or skip counting).
- 5. Understand that shapes can be decomposed into parts with equal areas; the area of each part is a unit fraction of the whole.
- Decimal concepts
- 7. Understand that a two-digit decimal is a sum of fractions with denominators 10 and 100. For example, 0.34 is 3/10 + 4/100.
- 8. Use decimals to hundredths to describe parts of wholes; compare and order decimals to hundredths based on meanings of the digits; and write fractions of the form a/10 or a/100 in decimal notation. Use > and < symbols to record the results of comparisons.
- Operations on fractions
- Geometry 4-G
- Lines and angles
- 1. Draw points, lines, line segments, rays, angles, and perpendicular and parallel lines; identify these in plane figures.
- 2. Identify right angles, and angles smaller than or greater than a right angle in geometric figures; recognize right triangles.
- 3. Classify shapes based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of specified size.
- Line symmetry
- 4. Understand that a line of symmetry for a geometric figure is a line across the figure such that the figure can be folded along the line into matching parts
- 5. Identify line-symmetric figures; given a horizontal or vertical line and a drawing that is not a closed figure, complete the drawing to create a figure that is symmetric with respect to the given line.
- Lines and angles