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Module 2 Lesson 5. Connect visual models and the distributive property to partial products of the standard algorithm without renaming. Common Core Standards.

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module 2 lesson 5
Module 2 Lesson 5
  • Connect visual models and the distributive property to partial products of the standard algorithm without renaming.
slide2

Common Core

Standards

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.

slide3
I can connect visual models and the distributive property to partial products of the standard algorithm without renaming.

Learning Targets

slide7

Activate

Knowledge

Write the multiplication sentence

9 x 10 =

slide8

Activate

Knowledge

Write the multiplication sentence

9 x 10 =

9 x 9 = 90 – ___

slide9

Activate

Knowledge

Write the multiplication sentence

9 x 10 =

9 x 9 = 90 – ___

9 x 9 = ___

slide10

Activate

Knowledge

Write the multiplication sentence

9 x 100 =

slide11

Activate

Knowledge

Write the multiplication sentence

9 x 100 =

9 x 99 = 900 – ___

slide12

Activate

Knowledge

Write the multiplication sentence

9 x 100 =

9 x 99 = 900 – ___

9 x 99 = ___

slide13

Activate

Knowledge

Write the multiplication sentence

15 x 10 =

slide14

Activate

Knowledge

Write the multiplication sentence

15 x 10 =

15 x 9 = 150 – ___

slide15

Activate

Knowledge

Write the multiplication sentence

15 x 10 =

15 x 9 = 150 – ___

15 x 9 = ___

slide16

Activate

Knowledge

Write the multiplication sentence

29 x 100 =

slide17

Activate

Knowledge

Write the multiplication sentence

29 x 100 =

29 x 99 = 2900 – ___

slide18

Activate

Knowledge

Write the multiplication sentence

29 x 100 =

29 x 99 = 2900 – ___

29 x 99 = ___

slide19

Activate

Knowledge

Write the multiplication sentence

31 × 100 = _____

slide20

Activate

Knowledge

Write the multiplication sentence

31 × 100 = _____

3100 x 2 = _____

slide21

Activate

Knowledge

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

31 × 100 = _____

3100 x 2 = _____

31 x 200 = _____

slide22

Activate

Knowledge

Write the multiplication sentence

24 × 100 = _____

slide23

Activate

Knowledge

Write the multiplication sentence

24 × 100 = _____

2400 x 3 = _____

slide24

Activate

Knowledge

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

24 × 100 = _____

2400 x 3 = _____

24 x 300 = _____

slide25

Activate

Knowledge

Write the multiplication sentence

34 × 100 = _____

slide26

Activate

Knowledge

Write the multiplication sentence

34 × 100 = _____

3400 x 2 = _____

slide27

Activate

Knowledge

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

34 × 100 = _____

3400 x 2 = _____

34 x 200 = _____

slide28

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.

slide29

Learn

Can you solve mentally using the unit form strategy?

21 x 5

Problem 1

slide30

Learn

Represent your think with a tape diagram.

21 x 5

Problem 1

slide31

Learn

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

Problem 1

slide32

Learn

Imagine that all 21 boxes are stacked vertically.

21 x 5

1 five

20 fives

Problem 1

slide33

Learn

We can simplify this drawing.

21 x 5

Problem 1

slide34

Learn

Compare the area diagram with the tape diagram

21 x 5

21 fives

Problem 1

slide35

Learn

Compare the area diagram with the tape diagram

21 x 5

21 fives

Problem 1

slide36

Learn

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

5 x 21

Problem 1

slide37

Learn

Relate the area model with the algorithm

23 × 31

23

1

30

Problem 2

slide38

Learn

Relate the area model with the algorithm

343 × 21

343

1

20

Problem 3

slide39

Learn

Relate the area model with the algorithm

231 × 32

231

2

30

Problem 4

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