## Standards with the same topic and subject but for other grades

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number or a fraction by a fraction.

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number or a fraction by a fraction.

Interpret the product π/π x q as a x (q Γ· b) (partition the quantity q into b equal parts and then multiply by a). Interpret the product π/π x q as (a x q) Γ· b (multiply a times the quantity q and then partition the product into b equal parts).

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles and represent fraction products as rectangular areas.

Interpret division of a whole number by a unit fraction and compute such quotients.

Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explain why multiplying a given number by a fraction less than 1 results in a product less than the given number; and relate the principle of fraction equivalence π/π = (π π₯ π)/(π π₯ π) to the effect of multiplying π/π by 1.

Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Interpret division of a unit fraction by a non-zero whole number and compute such quotients.