This document is from a math lesson on November 12, 2013 about adding and subtracting rational numbers. It includes examples and practice problems for adding and subtracting integers, as well as explanations of properties like the commutative and associative properties. Students are assigned problems from Problem Set 8 as homework.

1. Module 2 Lesson 8.notebook
Aim: Applying the Properties of
November 12, 2013
11/12/13
Operations to Add and Subtract
Rational Numbers
HW: Problem Set 8 #1 and 6­9 and
CRS 7 due tomorrow
Do Now: Lesson 7 exit ticket
1

2. Module 2 Lesson 8.notebook
November 12, 2013
2

3. Module 2 Lesson 8.notebook
November 12, 2013
Adding and Subtracting Integers Practice
1.) -9 + (-10)
4.) -8 + 10
2.) -8 - 7
5.) 9 - 20
3.) -2 - (-10)
6.) 4 - (-5)
3

4. Module 2 Lesson 8.notebook
November 12, 2013
4

5. Module 2 Lesson 8.notebook
November 12, 2013
5

6. Module 2 Lesson 8.notebook
November 12, 2013
Example 1: The opposite of a sum is the sum of its opposites
Explain the meaning of: "The opposite of a sum is the sum of its
opposites." Use a specific math example.
6

7. Module 2 Lesson 8.notebook
November 12, 2013
Properties of Operations
Commutative Property of Addition: A
change in the order does not change the
sum.
a+b=b+a
Associative Property of Addition: A change
in the grouping of numbers does not change
the sum.
(a + b) + c = a + (b + c)
Additive Identity: Adding zero does not
change a number
a+0=a
7

8. Module 2 Lesson 8.notebook
November 12, 2013
8

9. Module 2 Lesson 8.notebook
November 12, 2013
9

10. Module 2 Lesson 8.notebook
November 12, 2013
Remember: The opposite of a sum is the sum of its opposites.
10

11. Module 2 Lesson 8.notebook
November 12, 2013
11

12. Module 2 Lesson 8.notebook
November 12, 2013
Exercise 4:
Mr. Mitchell lost 10 pounds over the summer by jogging each
week. By winter time, he had gained
pounds. Represent this
situation with an expression involving signed numbers. What is
the overall change in Mr. Mitchell's weight?
12

13. Module 2 Lesson 8.notebook
November 12, 2013
Add the opposite
Commutative
Opposite of a sum is the sum of the opposites
Commutative
Associative
13

14. Module 2 Lesson 8.notebook
November 12, 2013
14

15. Module 2 Lesson 8.notebook
November 12, 2013
How can you use properties to simplify this expression.
15

16. Module 2 Lesson 8.notebook
November 12, 2013
How can you use properties to simplify this expression.
16