unit 2: algebra minds on. unit 2: algebra lesson 3: the distributive property learning goal: i can...

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Page 1: Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

Unit 2: AlgebraMinds On

a) b) + c) +

Page 2: Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

Unit 2: Algebra

Lesson 3: The Distributive Property

Learning Goal:

I can simplify algebraic expressions using distributive property

Page 3: Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

Unit 2: Algebra

Lesson 3: The Distributive Property

We can multiply or divide a polynomial by a constant. To simplify this, the polynomial must be expanded using the distributive property.

a (b + c) AND

= ab + ac =

Page 4: Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

STEPS:1. Multiply/divide each term in the polynomial

by the constant2. Keep the variables the same3. Simplify signs4. Identify like terms5. Combine like terms

Unit 2: Algebra

Lesson 3: The Distributive Property

Page 5: Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

Example 1Simplify: 5(-y2 + 3x – 4)

Unit 2: AlgebraLesson 3: The Distributive Property

STEPS:1. Multiply/divide each term in

the polynomial by the constant

2. Keep the variables the same3. Simplify signs4. Identify like terms5. Combine like terms

Page 6: Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

Example 2Simplify:

Unit 2: AlgebraLesson 3: The Distributive Property

STEPS:1. Multiply/divide each term in

the polynomial by the constant

2. Keep the variables the same3. Simplify signs4. Identify like terms5. Combine like terms

Page 7: Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

Example 3Expand and Simplify:6(x2y + 2y -5) - 2(14x2y - 3)

Unit 2: AlgebraLesson 3: The Distributive Property

STEPS:1. Multiply/divide each term in

the polynomial by the constant

2. Keep the variables the same3. Simplify signs4. Identify like terms5. Combine like terms

Page 8: Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

Example 3Expand and Simplify:

Unit 2: AlgebraLesson 3: The Distributive Property

STEPS:1. Multiply/divide each term in

the polynomial by the constant

2. Keep the variables the same3. Simplify signs4. Identify like terms5. Combine like terms

Page 9: Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

Unit 2: AlgebraLesson 3: The Distributive Property

Example 4Expand and Simplify: (2 +

Page 10: Unit 2: Algebra Minds On. Unit 2: Algebra Lesson 3: The Distributive Property Learning Goal: I can simplify algebraic expressions using distributive property

HomeworkRead page 262: “Key Ideas”

(Distributive Property only and example “a”)

Do page 263 #6abghi, 7, 10ace, 11abcgijk, 12bd

Unit 2: Algebra

Lesson 3: The Distributive Property