Module 3 lesson 5

Module 3 Lesson 5.notebook

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Using the Identity and Inverse to Write Equivalent Expressions

Do Now:Sprint from Lesson 2

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Module 3, Lesson 5

HW: • Lesson 5 Problem Set

#1-3

Module 3 Lesson 5.notebook

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233452x3x3x4x5x6x3x4x5x8x9x10x9x5x0­x­2x

­2x2x5x +3 5x +36x + 37x + 37x +3 

10x + 311x11x ­ 111x ­ 211x ­ 56x ­ 4­x + 136x + 4y7x + 2y8x ­ 2y­4x ­ 2y­8x ­ 2y6x ­ 2y4x ­ 2y7x

Round 1

Module 3 Lesson 5.notebook

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344563x4x4x5x6x6x3x5x7x9x8x10xx0­x­2x­6x

4x6x3x + 510x ­ 111x ­ 112x ­ 114x ­ 115x ­ 1­3x + 1­3x 

­3x ­ 1­3x ­ 27x + 3

2x + 106x + 2y6x 8x ­ 3y4x ­ y02x ­ 2y­2y5x

Round 2

Module 3 Lesson 5.notebook

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Module 3 Lesson 5.notebook

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Module 3 Lesson 5.notebook

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Module 3 Lesson 5.notebook

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Module 3 Lesson 5.notebook

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Discussion:

1. In problem 1, what is the pair of numbers called?

2. What is the sum of a number and its opposite?

3. In problem 5, what is so special about 0?

Additive Inverses

Zero

Zero is the ONLY NUMBER when summed with another number, the results in that number again.

Additive Identity

Module 3 Lesson 5.notebook

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Module 3 Lesson 5.notebook

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Module 3 Lesson 5.notebook

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Module 3 Lesson 5.notebook

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Discussion:

1. What are these pairs of numbers called?

2. What is another term for reciprocal?

3. What is the product of multiplicative inverses?

Reciprocal

Multipli-cative Inverse

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Discussion:

4. Why is the number 1 also special?

Any number multiplied by 1 would in that same number. Multiplicative

Identity

Module 3 Lesson 5.notebook

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Closing:1.) What are the other terms for opposites and reciprocals, and what are the general rules of their sums and products?

2.) What do the Additive Identity Property of Zero and the Multiplicative Identity Property of One state?

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