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Topic H Multi-Digit Multiplication Strategies

Lesson 34 - 38

  • Area Model
  • Partial Products
    • Distributive and Associative Properties
  • Standard Algorithm
  • Personal Method

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Math Do Now

Solve the following conversions

1.5 yards x 72 =

108 x 10 cents

($3.60 x 47) + ($1.50 x 29)

47 x 103

Now try these…

12.5 = ____ oz

1.05 m = ____ cm

5.7 kg = ____ g

56.75 lbs = ___ oz

CHALLENGE

5 days = ____ weeks

22 feel = _____ yards

44 inches = ____ feet

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Lesson 34 & 35 Multi-Digit Multiplication

Content Goal: I can multiply 2 Digit Multiples of ten (20, 30, 40, 50…) by double digit numbers using place value, multiplication properties, area models, and standard algorithms and apply these strategies to solve multi-step word problems.

  • ___ tens times ___ ones plus ___ tens times ___ tens equals ___
    • 30 x 22
    • tens times 2 ones plus 3 ten times 2 tens
    • (30 x 2) + (30 x 20)

Process Goals: I can use my background knowledge and I

can generate questions while learning new strategies for multiplication

and division.

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Lesson 34 & 35 Multi-Digit Multiplication

4 ones x 3 ones

4 tens x 3 ones

3 ones x 2 ones

3 tens x 2 ones

4 ones x 3 ones

4 tens x 3 ones

5 ones x 4 ones

5 tens x 4 tens

5 ones x 8 ones

5 tens x 8 tens

6 ones x 5 ones

4 tens x 3 tens

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Lesson 34 & 35 Multi-Digit Multiplication

Area Model Proof

2 x 22

10 x 22

40 x 22

2

20

2

10

20

2

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Lesson 34 & 35 Multi-Digit Multiplication

Place Value Proof

4 x 10 x 22 = 40 x 22

You Try:

50 x 31 = 5 x 10 x 31

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Lesson 34 & 35 Multi-Digit Multiplication

Place Value Proof

50 x 31 = 5 x 10 x 31

40 x 22

21 x 30

30 x 43

50 x 39

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Lesson 34 & 35 Multi-Digit Multiplication

Find the PRODUCT of 30 and 25

You Try

60 x 34

90 x 34

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Lesson 34 & 35 Multi-Digit Multiplication

Practice Time

Lesson 35 pg. 233

1 - 9

TURN IN

Exit Ticket 35 pg. 235

Application Problem 36 PG. 237

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Lesson 36 Multi-Digit Multiplication

Content Goal: I can multiply 2 Digit by 2 Digit numbers and identify four partial products using place value models, multiplication properties, area models, and standard algorithms, while applying these strategies to solve multi-step word problems.

    • 23 x 31

Process Goals: I can use my background knowledge and I

can generate questions while learning new strategies for multiplication

and division.

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Lesson 36 Multi-Digit Multiplication

Area Mode & Standard Algorithm

Create a word problem to match the Area Model shown.

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Lesson 36, 37 & 38 Multi-Digit Multiplication

23 x 31

___ x __ ≈

26 x 34

___ x __ ≈

38 x 43

___ x __ ≈

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Lesson 36 Multi-Digit Multiplication

Practice Time

Lesson 36 pg. 240

3, 4, 5, 6

Lesson 37 pg. 246

3, 4 a, b, c, d

TURN IN

Exit Ticket 36 pg. 241

Exit Ticket 37 pg. 247

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Lesson 37 & 38 Multi-Digit Multiplication

Content Goal: I can use the STANDARD ALGORITHM to multiply 2 Digit by 2 Digit numbers and apply these strategies to solve multi-step word problems.

    • 26 x 35
    • (6 x 35) + (20 x 35)

Process Goals: I can use my background knowledge and I

can generate questions while learning new strategies for multiplication

and division.

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Lesson 38 Multi-Digit Multiplication

Application Problem 37

Prove it!

Words/Phrases to Use

Her answer is ____ b/c _____.

the partial products are

partial product product

multiply

add the total of

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Lesson 38 Multi-Digit Multiplication

Application Problem 38

Prove it!

Words/Phrases to Use

Her answer is ____ b/c _____.

the partial products are

partial product product

multiply

add the total of

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Multi-Digit Multiplication

Tenacious Task

Prove it!

Words/Phrases to Use

Mrs. Sherrill’s sister can bake ___ more cookies than Mrs. Sherrill b/c _______

the partial products are

partial product product

multiply

add the total of

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Multi-Digit Multiplication

Tenacious Task

Prove it!

Words/Phrases to Use

Both teachers have _____ snack and I know this is reasonable because….

partial product product

multiply

add the total of

Both classes will get a total of ____ snacks b/c ___

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Lesson 36, 37 & 38 Multi-Digit Multiplication

23 x 31

___ x __ ≈

26 x 34

___ x __ ≈

38 x 43

___ x __ ≈

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Lesson 36 Multi-Digit Multiplication

Practice Time

Lesson 36 pg. 240

3, 4, 5, 6

Lesson 37 pg. 246

3, 4 a, b, c, d

TURN IN

Exit Ticket 36 pg. 241

Exit Ticket 37 pg. 247