Course: Sixth Grade Math DETAIL LESSON PLAN

Student Objective 6.EE.3 TSW…. Use properties to generate equivalent expressions. Lesson Lesson 7.3.1/7.3.2 Distributive Property

Anticipatory Set

TODAY, we are going to continue learning about properties, with a concentration on the Distributive Property.

Display Wrigley’s screen. Discuss a little about owner of Wrigley’s Chewing Gum. Question students – what does the truck do for the company? How is this similar to the Distributive Property what we learned yesterday?

Why learn the Distributive Property? In Algebra, we will use the Distributive property to remove () when dealing with algebraic expressions.

Teacher Input

Pass out student notes.

Review distributive property examples.

Allow students to do “you try” problems.

Review Questar style property problems.

Pass out homework for students to begin in class.

Enrichment: Extra practice problems on back of homework.

Assessment Question the students for understanding. Monitor students as they work on “you try” problems. Closure

Discuss the word distribute and how it applies to the following problem: 7(3x + 5) End by “distributing” treat out to class.

Forbes 400 Richest Americans

#215 William Wrigley Jr.

9( 10 + 4 )

Why learn how to use the Distributive Property?

In Algebra

We use the Distributive Property to

remove ( ) when dealing with algebraic

expressions:

5(3x + 4)

Sixth Grade Math Distributive Property Lesson 7.3.1/7.3.2

Distributive Property

Combines multiplication with either addition or subtraction.

9(10 + 4)

The Distributive Property states that you can multiply

everything inside the parentheses by whatever is outside the

parentheses.

Use the Distributive Property to solve.

1. 4(2𝑛 + 5)

= 8𝑛 + 20

2. 8(4𝑥 + 6)

3. (3𝑥 + 2)(4)

Multiply the first term inside the () by the number that is outside the ().

Next…Multiply the last term inside the () by the number that is outside the ().

Finally… Simplify by combining like terms.

Questar – Using Properties to write equivalents

1. Which is the result of the first step when simplifying the following expression?

13 + 4(x + 5) A. 13 + 4x + 20

B. 13 + 4x + 5

C. 13 + 4x + 9

D. 17(x + 5)

2. Which applies the Distributive and Commutative Properties to the expression below?

4(5𝑧 + 3𝑥) + 7𝑧 A. 12𝑥 + 12𝑧

B. 3𝑥 + 20𝑧 + 7𝑧

C. 12𝑥 + 20𝑧 + 7𝑧

D. 12𝑥 + 20𝑥 + 28𝑧 3. Which of the following expressions demonstrates the Distributive Property?

A. 3(𝑓 + 2) = 3(2 + 𝑓)

B. (3 ∙ 𝑓) ∙ 2 = 3 ∙ (𝑓 ∙ 2)

C. 3(𝑓 + 2) = 𝑓 + 6

D. 3(𝑓 + 2) = 3𝑓 + 6

Name:______________________ Date:________ Period:______ Classwork

Directions: Write an equivalent expression for each of the problems below.

1) 4(x + 7) – 9

2) (x + 6) – 5 + 9

3) 7a + 21

4) 5a + 30

Directions: Solve each question below.

5) A rectangle is seven times as long as its width. One way to write an expression to find the perimeter would

be m + 7m + m + 7m. Write the expression in two other ways.

6) A rectangle is five times as long as its width. One way to write an expression to find the perimeter would be

5d + 5d + d + d. Write the expression in two other ways.

7) Mary says the two expressions 4(5a - 8) + 2a and 12a – 6 are equivalent? Is she correct?

8) Jenny says the two expressions 7a + 4 + 3a + 6 and 4a + 10 are equivalent? Is she correct?

9) An equilateral triangle has a perimeter of 9x + 6. What is the length of each side of the triangle?

10) An equilateral triangle has a perimeter of 15x + 3. What is the length of each side of the triangle?

11) Caleb ate c carrots and p pickles each day for a full week. He used the expression 7(c + p) to represent the

number of vegetables he ate that week. Which equation correctly shows the Distributive Property?

A. 7(c + p) = 7 + (c + p)

B. 7(c + p) = (7)(c) + (7)(p)

C. 7(c + p) = (7 × c) + p

D. 7(c + p) = 7 (c × p)

12) Write an equivalent expression for the following expression. (x + 2) + 3

13) Write an equivalent expression for the following expression. (9 + 2𝑥) + 3x – 1

14) Write an equivalent expression for the following expression. 50x + 30xy

15) Which of the following expressions demonstrates the distributive property?

A. 2 + 7 = 2 + 8

B. (3 + 4) + 5 = 5 + (3 + 4)

C. (3 + 4) + 5 = (3 + 5) + 4

D. 3(4 + 5) = 3(4) + 3(5)

16) Use the Distributive Property to solve: 3(x + 11)

17) Write an equivalent expression for: 24𝑎 + 56𝑏

18) Write an equivalent expression for: 6(3 + 6𝑥)

19) Write an equivalent expression for: 2(4𝑥3 + 2)

20) Is the expression 𝑦 + 𝑦 + 𝑦 + 𝑦 equivalent to 𝑦4? Explain your reasoning.

Sixth Grade Math Distributive Property Lesson 7.3.1/7.3.2

Name:______________________ Date:________ Period:______

1) Rewrite the following expression 2 different ways using to show equivalent expressions.

𝟐𝟎𝒙 + 𝟒 − 𝟓𝒙

a. ______________________________

b. ______________________________

2) Solve: 9(2a + 7) – 3a

3) Solve: 2(3x + 9) + 4

4) Solve: 5(2x + 3) + 11 - x

5) Which expression correctly shows the Distributive Property?

A. 𝟔(𝟐𝒙 + 𝟔) = 𝟐𝒙 + 𝟏𝟐

B. 𝟕(𝟐𝒙 + 𝟔) = 𝟗𝒙 + 𝟏𝟑

C. (𝟐𝒙 + 𝟔) + 𝟕 = 𝟏𝟒𝒙 + 𝟒𝟐

D. 𝟒(𝟐𝒙 + 𝟔) = 𝟖𝒙 + 𝟐𝟒

6) Solve using the Distributive Property to write an equivalent expression: 8(5x + 4x)

7) Which correctly applies the Distributive and Associative Properties to the expression

below?

𝒙 + 𝟔(𝒙 + 𝟓𝒚)

A. (𝒙 + 𝟔𝒙) + 𝟓𝒚

B. (𝒙 + 𝟔)(𝒙 + 𝟓𝒚)

C. (𝒙 + 𝟔𝒙) + 𝟑𝟎𝒚

D. 𝟐𝒙(𝟔 + 𝟑𝟎𝒚)

5 x