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Partial Products Game Show
L015
CHOOSE YOUR QUESTION
Big Idea Review
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Multiplication Equations
3 x 6 = 18
Factors
Product
Big Idea # 1
Factors in a multiplication equation can be decomposed into addends.
32 x 5 = 160
10 22
Big Idea # 2
Multi-digit whole numbers can be decomposed into addends based on place value.
32 x 5 = 160
30 2
Big Idea # 3
Partial products are the products of one factor multiplied by one addend of
the other factor.
Big Idea # 4
The distributive property of multiplication means that a product of two factors is equal to the partial products of the two decomposed addends and the other factor.
Big Idea # 5
When we are multiplying by multiples of 10, 100, or 1,000, we need to make sure we are multiplying the nonzero digits by the multiple of 10, 100, or 1,000 that the number represents.
CHOOSE YOUR QUESTION
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4
Do Now
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9
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When we are multiplying by multiples of 10, 100, or 1,000 today, we need to make sure we are multiplying the nonzero digits by the multiple of 10, 100, or 1,000 that the number represents.
What is 3 x 4?
2
A
B
16
7
12
C
D
C
3
What is 3 x 40?
120
12
120
A
B
7
70
C
D
6
I multiplied 3 x 4 which are the nonzero digits with value and got a product of 12.
How did you solve
3 x 40 ?
3 x 40 =
Then, since 40 was a multiple of 10, multiplied 12 x 10 to get 120.
12 x 10 = 120
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When we multiply a single digit by a multiple of 100 or 1,000, we can do the same thing – we can multiply the nonzero digits and then multiply by 100 or 1,000.
•
What is the product of 3 x 400?
•
12
120
A
B
12,000
1,200
C
D
C
I multiplied 3 x 4 which are the nonzero digits with value and got a product of 12.
How did you solve
3 x 400 ?
3 x 400 =
Then, since 400 was a multiple of 100, multiplied 12 x 100 to get 1,200.
12 x 100 = 1,200
10
What is the product of 3 x 4,000?
120
120,000
A
B
1,200
12,000
D
C
12,000
D
I multiplied 3 x 4 which are the nonzero digits with value and got a product of 12.
How did you solve
3 x 4,000 ?
3 x 4,000 =
Then, since 4,000 was a multiple of 1,000, multiplied 12 x 1,000 to get 12,000.
12 x 1,000 = 12,000
What is the product of 5 x 600?
300
30
A
B
3,000
30,000
C
D
C
What is the product of 4,000 x 8?
320
32,000
A
B
A
32
3,200
D
C
CHOOSE YOUR QUESTION
Guided
Practice
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1
2 x 1 Multiplication Model
Follow along on page 1
Stop and Jot
Follow along on page 1
How did you decompose 94 into a new set of addends?
Try this example! (Pg. 2)
How did you decompose 94 into addends by place value?
Stop and Jot
Follow along on page 2
7
Checkpoint!
What are some key things we should remember when multiplying larger numbers?
Decompose the factors that are larger than 10 into its addends.
Multiply each addend by the other factor.
Multiplying by multiples of powers of ten is quick because you can multiply the non-zero digits and then multiply by the value of the place value, i.e. 4 x 300 = 4 x 3 x 100.
CHOOSE YOUR QUESTION
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1
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Independent
Practice
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10
You will now have 15 minutes to find the product of different 2 by 1 multiplication problems on pages 3 and 4 of your packet.
You will now have 10 minutes to complete your exit ticket on pages 5 and 6 and then take a picture to submit to your teacher on Google Classroom.
Now wait for your teacher so that you can continue to challenge yourself with Story Problems :)!
Before you go, let's share your prize!
You win the joy of knowing that you just practiced a skill you learned in third grade with greater number sizes! I cannot wait to see how you will continue to challenge your brain in this way!