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Math
Virginia Math
Grade 4: Computation and Estimation
Determine and justify whether an estimate or an exact answer is appropriate when solving contextual problems involving addition and subtraction with whole numbers. Refine estimates by adjusting the final amount, using terms such as closer to, between, and a little more than.
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Apply strategies (e.g., rounding to the nearest 100 or 1,000, using compatible numbers, other number relationships) to estimate a solution for single-step or multistep addition or subtraction problems with whole numbers, where addends or minuends do not exceed 10,000.
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Apply strategies (e.g., place value, properties of addition, other number relationships) and algorithms, including the standard algorithm, to determine the sum or difference of two whole numbers, where addends and minuends do not exceed 10,000.
Estimate, represent, solve, and justify solutions to single-step and multistep contextual problems involving addition and subtraction with whole numbers where addends and minuends do not exceed 1,000,000.
Determine and justify whether an estimate or an exact answer is appropriate when solving contextual problems involving multiplication and division of whole numbers. Refine estimates by adjusting the final amount, using terms such as closer to, between, and a little more than.
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Recall with automaticity the multiplication facts through 12 × 12 and the corresponding division facts.
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Create an equation using addition, subtraction, multiplication, and division to represent the relationship between equivalent mathematical expressions (e.g., 4 × 3 = 2 × 6; 10 + 8 = 36 ÷ 2; 12 × 4 = 60 –12).
Identify and use the appropriate symbol to distinguish between expressions that are equal and expressions that are not equal, using addition, subtraction, multiplication, and division (e.g., 4 × 12 = 8 × 6 and 64 ÷ 8 ≠ 8 × 8).
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Determine all factor pairs for a whole number 1 to 100, using concrete, pictorial, and numerical representations.
Determine common factors and the greatest common factor of no more than three numbers.
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a two-digit factor and a one-digit factor;
a two-digit factor and a two-digit factor.
Estimate, represent, solve, and justify solutions to single-step and multistep contextual problems that involve multiplication with whole numbers.
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Apply strategies (e.g., rounding, compatible numbers, place value) and algorithms, including the standard algorithm, to estimate and determine the quotient of two whole numbers, given a one-digit divisor and a two- or three-digit dividend, with and without remainders.
- Divide by 1-digit numbers (no remainders)
- Divide by 1-digit numbers with area models
- Divide using place value
- Divide with remainders
- Divide with remainders (2-digit by 1-digit)
- Division with area models
- Intro to long division (no remainders)
- Multiplication and division word problems
- Understanding remainders
Estimate, represent, solve, and justify solutions to single-step contextual problems involving division with whole numbers.
Interpret the quotient and remainder when solving a contextual problem.
Estimate and determine the sum or difference of two fractions (proper or improper) and/or mixed numbers, having like denominators limited to 2, 3, 4, 5, 6, 8, 10, and 12 (e.g., 3/8 + 3/8, 2 1/5 + 4/5, 7/4 – 5/4) and simplify the resulting fraction. Addition and subtraction with fractions may include regrouping.
Estimate, represent, solve, and justify solutions to single-step contextual problems using addition and subtraction with fractions (proper or improper) and/or mixed numbers, having like denominators limited to 2, 3, 4, 5, 6, 8, 10, and 12, and simplify the resulting fraction. Addition and subtraction with fractions may include regrouping.
Solve single-step contextual problems involving multiplication of a whole number, limited to 12 or less, and a unit fraction (e.g., 6 × 1/3, 1/5 × 8, 2 × 1/10), with models.
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Apply the inverse property of multiplication in models (e.g., use a visual fraction model to represent 4/4 or 1 as the product of 4 × 1/4).
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decimals do not exceed the thousandths; and
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addends, subtrahends, and minuends are limited to four digits.
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Estimate, represent, solve, and justify solutions to single-step and multistep contextual problems using addition and subtraction of decimals through the thousandths.
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