Module 2 Lesson 7Connect area diagrams and the distributive property to partial products of the standard

algorithm with renaming.

• 5.OA.2 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm.

Common CoreStandards

Learning Targets

•I can connect area diagrams and the distributive property to partial products of the standard algorithm with renaming.

Sprint A

Sprint B

Activate Knowledge

Draw an area model on your personal board and solve

24 x 12

Activate Knowledge

Draw an area model on your personal board and solve

824 x 15

Activate Knowledge

The length of a school bus is 12.6 meters. If 9

school buses park end to end with 2 meters

between each one, what’s the total length

from the front of the first bus to the end of the

last bus?

Learn

Problem 1

524 × 136

Divide your personal board into two sections. On one side, we’ll solve with an area model, & on the other, the standard algorithm. (Estimate first)

Learn

Problem 2

4,519 × 326

Divide your personal board into two sections. On one side, we’ll solve with an area model, & on the other, the standard algorithm. (Estimate first)

Learn

Problem 3

4,509 × 326

Divide your personal board into two sections. On one side, we’ll solve with an area model, & on the other, the standard algorithm. (Estimate first)

Learn

Problem 4

4,509 × 326

Divide your personal board into two sections. On one side, we’ll solve with an area model, & on the other, the standard algorithm. (Estimate first)

Practice

Review