Interpret multiplication as scaling (resizing), by:
Number and Operations—Fractions
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Interpret multiplication as scaling (resizing), by:
Number and Operations—Fractions
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
Explaining 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); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence 𝑎/𝑏 = (𝑛 × 𝑎)/(𝑛 × 𝑏) to the effect of multiplying 𝑎/𝑏 by 1.
Understand properties of multiplication and the relationship between multiplication and division.
Understand division as an unknown-factor problem.
Understand subtraction as an unknown-addend problem.
Work with equal groups of objects to gain foundations for multiplication.
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
Interpret multiplication as scaling (resizing), by:
Interpret multiplication as scaling (resizing), by:
Interpret multiplication as scaling (resizing), by:
Interpret multiplication as scaling (resizing), by:
Interpret multiplication as scaling (resizing), by: