Directions

• If you were in Mrs. Hardy’s Room yesterday:

1. Hand in your signed Common Assessment on the back table.

2. Get in your seat.

3. Take out the practice that you started in Mrs. Hardy’s room yesterday.

• If you were in Mr. Ames’ Room yesterday:

1. Hand in your signed Common Assessment and Intervention Practice on the back table.

2. Get in your seat.

3. Get your pencil and calculator ready for the Formative Assessment

The Distributive Property

We are learning how to simplify expressions using the Distributive Property.

Wednesday, April 19, 2023

Team Investigation…

With your team simplify the given expressions using the Order or Operations.

When you are done draw lines between any expressions that have the same solution.

Last reflect with you team about What similarities do you notice between the expressions that you matched from “Column 1” and “Column 2?”

Do you see any patterns or trends?

The Distributive Property

A(B + C) = _________________

-or-

A(B – C) = _________________

A(B) + A(C)

A(B) – A(C)

Use the Distributive Property to write the expression below in an equivalent form…

7 3 10

6 7 3

8 2 12 8

3 1 4 2 7 10

= ______________________

= ______________________

= ______________________

= __________________________

7(3) + 7(10)

6(7) – 6(3)

8(2) + 8(12) + 8(8)

3(1) - 3(4) + 3(2) – 3(7) + 3(10)

You can even use the distributive property backwards to help find the answer to a difficult multiplication problem.

For example…try to multiply 9(107) by doing…

9(107) = 9(100 + 7)

= 9(100) + 9(7)

= 900 + 63

= 963

You can even use the distributive property backwards to help find the answer to a difficult multiplication problem.

For example…try to multiply 3(46) by doing…

3(46) = 3(50 – 4)

= 3(50) – 3(4)

= 150 – 12

= 138

Use the Distributive

Property to solve the multiplication

expression to multiply 8(217)

Which of the following would NOT be a correct way to use the Distribute Property to solve the multiplication problem (9)(146)?

(9)(1

00 +

40

+ 5 +

1)

(9)(1

50 –

4)

(9)(1

00 +

40

+ 6)

(9)(1

00 +

40

– 4)

0 000

A. (9)(100 + 40 + 5 + 1)

B. (9)(150 – 4)

C. (9)(100 + 40 + 6)

D. (9)(100 + 40 – 4)

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Which of the following expressions is equivalent to 5(6 – 8 + 10)?

5(6

) – 8

+ 1

0

5(6

) + 5

(8) +

5(1

0)

5(6

) – 5

(8) +

5(1

0)

5 +

6 –

8 +

10

0 000

A. 5(6) – 8 + 10

B. 5(6) + 5(8) + 5(10)

C. 5(6) – 5(8) + 5(10)

D. 5 + 6 – 8 + 10

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In which of the following expressions is the Distributive Property used correctly?

0 000

A. 6(-7 + 8) = 6(-7) + 8

B. 3(-9 – 1 + 3) = 3(-9) + 3(1) + 3(3)

C. -14(-8 + 7) = -14 + (-8) + 7

D. (-3 – 5 + 2)(-15) = -3(-15) – 5(-15) + 2(-15)

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