Module 2 Lesson 6Connect area diagrams and the distributive property to partial products of the standard

algorithm without 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 visual models and the distributive property to partial products of the standard algorithm without renaming.

Sprint A

Activate Knowledge

Write the multiplication sentence

21 × 100 = _____

Activate Knowledge

Write the multiplication sentence

21 × 100 = _____

2100 x 4 = _____

Activate Knowledge

Write 21 × 400 as a three-step multiplication sentence, taking out the

hundred.

21 × 100 = _____

2100 x 4 = _____

21 x 400 = _____

Activate Knowledge

Write the multiplication sentence

312 × 100 = _____

Activate Knowledge

Write the multiplication sentence

312 × 100 = _____

31200 x 3 = _____

Activate Knowledge

Write 312 × 300 as a three-step multiplication sentence, taking out the hundred.

312 × 100 = _____

31200 x 3 = _____

312 x 300 = _____

Activate Knowledge

Write the multiplication sentence

2314 × 100 = _____

Activate Knowledge

Write the multiplication sentence

2314 × 100 = _____

231400 x 2 = _____

Activate Knowledge

Write 2134 × 200 as a three-step multiplication sentence, taking out the hundred.

2314 × 100 = _____

231400 x 2 = _____

2314 x 200 = _____

Activate Knowledge

Draw an area model on your personal board and solve

43 x 12

Activate Knowledge

Draw an area model on your personal board and solve

243 x 12

Activate Knowledge

Draw an area model on your personal board and solve

312 x 12

Activate Knowledge

Scientists are creating a material that may

replace damaged cartilage in human joints.

This hydrogel can stretch to 21 times its

original length. If a strip of hydrogel measures

3.2 cm, what would its length be when

stretched to capacity?

Learn

Problem 1

64 × 73

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

Learn

Problem 2

814 x 39

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

Learn

Problem 3

624 x 82

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

Practice

Review