Learning Domain: Measurement and Data

Standard: Relate area to the operations of multiplication and addition: Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths; Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving problems, and represent whole-number products as rectangular areas in mathematical reasoning; Use tiles and/or arrays to illustrate and explain that the area of a rectangle can be found by partitioning it into two smaller rectangles, and that the area of the large rectangle is the sum of the two smaller rectangles.

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Learning Domain: Number and Operations -- Fractions

Standard: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers: Use area and length models to multiply two fractions, with the denominators 2, 3, 4; Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and when multiplying a given number by a fraction less than 1 results in a product smaller than the given number; Solve one-step word problems involving multiplication of fractions using models to develop the algorithm.

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Learning Domain: Measurement and Data

Standard: Solve problems with area and perimeter: Find areas of rectilinear figures with known side lengths; Solve problems involving a fixed area and varying perimeters and a fixed perimeter and varying areas; Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

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