Module 2 Lesson 5Connect visual models 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

9 x 10 =

Activate Knowledge

Write the multiplication sentence

9 x 10 =

9 x 9 = 90 – ___

Activate Knowledge

Write the multiplication sentence

9 x 10 =

9 x 9 = 90 – ___

9 x 9 = ___

Activate Knowledge

Write the multiplication sentence

9 x 100 =

Activate Knowledge

Write the multiplication sentence

9 x 100 =

9 x 99 = 900 – ___

Activate Knowledge

Write the multiplication sentence

9 x 100 =

9 x 99 = 900 – ___

9 x 99 = ___

Activate Knowledge

Write the multiplication sentence

15 x 10 =

Activate Knowledge

Write the multiplication sentence

15 x 10 =

15 x 9 = 150 – ___

Activate Knowledge

Write the multiplication sentence

15 x 10 =

15 x 9 = 150 – ___

15 x 9 = ___

Activate Knowledge

Write the multiplication sentence

29 x 100 =

Activate Knowledge

Write the multiplication sentence

29 x 100 =

29 x 99 = 2900 – ___

Activate Knowledge

Write the multiplication sentence

29 x 100 =

29 x 99 = 2900 – ___

29 x 99 = ___

Activate Knowledge

Write the multiplication sentence

31 × 100 = _____

Activate Knowledge

Write the multiplication sentence

31 × 100 = _____

3100 x 2 = _____

Activate Knowledge

Write 31 × 200 as a three-step multiplication sentence, taking out the

hundred.

31 × 100 = _____

3100 x 2 = _____

31 x 200 = _____

Activate Knowledge

Write the multiplication sentence

24 × 100 = _____

Activate Knowledge

Write the multiplication sentence

24 × 100 = _____

2400 x 3 = _____

Activate Knowledge

Write 24 × 300 as a three-step multiplication sentence, taking out the hundred.

24 × 100 = _____

2400 x 3 = _____

24 x 300 = _____

Activate Knowledge

Write the multiplication sentence

34 × 100 = _____

Activate Knowledge

Write the multiplication sentence

34 × 100 = _____

3400 x 2 = _____

Activate Knowledge

Write 24 × 200 as a three-step multiplication sentence, taking out the hundred.

34 × 100 = _____

3400 x 2 = _____

34 x 200 = _____

Activate Knowledge

Aneisha is setting up a play space for her new

puppy. She will be building a fence around

part of her yard that measures 29 feet by 12

feet. How many square feet of play space will

her new puppy have? If you have time, solve it

in more than one way.

Learn

Problem 1

21 x 5

Can you solve mentally using the unit form strategy?

Learn

Problem 1

21 x 5

Represent your think with a tape diagram.

Learn

Problem 1

Since 5 is the unit, how can we show the area of each unit?

Learn

Problem 1

Imagine that all 21 boxes are stacked vertically.

…

67

448

44

}

20 fives

1 five 21 x 5

Learn

Problem 1

We can simplify this drawing.

21 x 5

Learn

Problem 1

Compare the area diagram with the tape diagram

21 x 5

5 5 5 … 5 6 74 44 84 4 421 fives

Learn

Problem 1

Compare the area diagram with the tape diagram

21 x 5

5 5 5 … 5 6 74 44 84 4 421 fives

Learn

Problem 1

Can we turn this area model so that we count 5 groups of 21?

5 x 21

Learn

Problem 2

Relate the area model with the algorithm

23 × 31

23

690

1

30

23

Learn

Problem 3

Relate the area model with the algorithm

343 × 21

1

20

343

Learn

Problem 4

Relate the area model with the algorithm

231 × 32

2

30

231

Practice

Review