The purpose of this lesson is for students to explain how the product of two numbers compares to one factor based on the size of the other factor.
The goal of this optional lesson is to compare the size of a product to the size of one factor, applying what students have learned in the last several lessons. They make the comparisons and describe in general how to make comparisons using a strategy that makes sense to them. No representation is provided or suggested so this gives students an opportunity to think about the different methods they have learned, namely calculation, number lines and the distributive property, and choose the one that makes sense in each situation.
- Make generalizations about multiplying a whole number by a fraction greater than, less than, or equal to 1.
- Let’s make generalizations about multiplying a whole number by a fraction.
Materials to Gather
Teacher Reflection Questions
What questions did you ask today that helped students reason about the size of a product without performing multiplication?
- Rectangle Rumble (3–5), Stage 5: Fraction Factors (Addressing)
- Rolling for Fractions (3–5), Stage 4: Multiply Fractions (Supporting)