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Module 3 lesson 5

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Erik Tjersland

This document appears to be notes from a math lesson on using identities and inverses to write equivalent expressions. It includes examples of adding and multiplying expressions with their inverses. Key points covered are: - The additive inverse of a number is its opposite, and the sum of a number and its opposite is 0. - Zero is the additive identity, meaning it leaves a number the same when added. - The multiplicative inverse of a number is its reciprocal, and the product of a number and its reciprocal is 1. - One is the multiplicative identity, meaning it leaves a number the same when multiplied.

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Module 3 Lesson 5.notebook 1 January 04, 2016 Using the Identity and Inverse to Write Equivalent Expressions Do Now: Sprint from Lesson 2 01/4/16 Module 3, Lesson 5 HW: • Lesson 5 Problem Set #1-3
Module 3 Lesson 5.notebook 2 January 04, 2016 2 3 3 4 5 2x 3x 3x 4x 5x 6x 3x 4x 5x 8x 9x 10x 9x 5x 0 ­x ­2x ­2x 2x 5x +3  5x +3 6x + 3 7x + 3 7x +3  10x + 3 11x 11x ­ 1 11x ­ 2 11x ­ 5 6x ­ 4 ­x + 13 6x + 4y 7x + 2y 8x ­ 2y ­4x ­ 2y ­8x ­ 2y 6x ­ 2y 4x ­ 2y 7x Round 1
Module 3 Lesson 5.notebook 3 January 04, 2016 3 4 4 5 6 3x 4x 4x 5x 6x 6x 3x 5x 7x 9x 8x 10x x 0 ­x ­2x ­6x 4x 6x 3x + 5 10x ­ 1 11x ­ 1 12x ­ 1 14x ­ 1 15x ­ 1 ­3x + 1 ­3x  ­3x ­ 1 ­3x ­ 2 7x + 3 2x + 10 6x + 2y 6x  8x ­ 3y 4x ­ y 0 2x ­ 2y ­2y 5x Round 2
Module 3 Lesson 5.notebook 4 January 04, 2016 S.24
Module 3 Lesson 5.notebook 5 January 04, 2016 S.24
Module 3 Lesson 5.notebook 6 January 04, 2016 S.25
Module 3 Lesson 5.notebook 7 January 04, 2016 S.25
Module 3 Lesson 5.notebook 8 January 04, 2016 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 9 January 04, 2016 S.26
Module 3 Lesson 5.notebook 10 January 04, 2016 S.26
Module 3 Lesson 5.notebook 11 January 04, 2016 S.27
Module 3 Lesson 5.notebook 12 January 04, 2016 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 1
Module 3 Lesson 5.notebook 13 January 04, 2016 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 14 January 04, 2016 S.27
Module 3 Lesson 5.notebook 15 January 04, 2016 S.28
Module 3 Lesson 5.notebook 16 January 04, 2016 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?
Module 3 Lesson 5.notebook 17 January 04, 2016

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Module 3 lesson 5