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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