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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.

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Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even.

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Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations.

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Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.

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Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known.

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Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

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Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities.

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Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8

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Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.

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Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

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Understand a fraction as a number on the number line; represent fractions on a number line diagram.

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Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

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Multiply one-digit whole numbers by multiples of 10 in the range 10-90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.

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Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

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Use place value understanding to round whole numbers to the nearest 10 or 100.

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Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the

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Relate area to the operations of multiplication and addition.

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Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).

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Recognize area as an attribute of plane figures and understand concepts of area measurement.

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Specialty, Math, Algebra, Basic Operations, Fractions, Geometry, Measurement, Numbers, Math Test Prep, Test Preparation