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Module 2 Lesson 6.notebook

November 06, 2013

11/6/13

Module 2, Lesson 6

The Distance between two
rational numbers

HW: Lesson 6 Problem
Set

Quiz Friday

Do Now:
Exit Ticket For Lesson 5

1
Module 2 Lesson 6.notebook

November 06, 2013

­2

­2 +7 = 5

5 + (­9) = ­4

­2 ­ (­7) = 5

­8 + (­6) =  ­14

­14 + 2 = ­12

2
Module 2 Lesson 6.notebook

November 06, 2013

Problem Set 5
Answer Key

3
Module 2 Lesson 6.notebook

November 06, 2013

Problem Set 5
Answer Key

4
Module 2 Lesson 6.notebook

November 06, 2013

Problem Set 5
Answer Key

­2 + 16

18 + (­26)

­14 + (­23) 

1 ­ 2 = 1 + (­2)

30 + 45

5
Module 2 Lesson 6.notebook

November 06, 2013

Problem Set 5
Answer Key

6
Module 2 Lesson 6.notebook

November 06, 2013

7
Module 2 Lesson 6.notebook

November 06, 2013

Discussion:
1.) In life, at any given moment, will we
always be able to use a number line to find
the distance between two rational numbers?
Is it the most efficient way to calculate
distance between two points?

2.) What represents the distance between
a number and zero on the number line?

3.) If the distance between 5 and 0 can be
calculated using 5 - 0 or 5 , do you think
we might be able to calculate the distance
between -4 and 5 using absolute value?

8
Module 2 Lesson 6.notebook

November 06, 2013

8

9
Module 2 Lesson 6.notebook

November 06, 2013

­6 ­ (­10) = ­6 + 10 = 4

10
Module 2 Lesson 6.notebook

November 06, 2013

|­3 ­ 2| = |­3 + (­2)|
= |­5| = 5

11
Module 2 Lesson 6.notebook

November 06, 2013

|­200 ­ 580| = |­200 + (­580)|
 = |­780| = 780

780 increase

12
Module 2 Lesson 6.notebook

November 06, 2013

780

­780 ft, 780 ft decrease

13
Module 2 Lesson 6.notebook

­10

­9

­8

­7

­6

­5

November 06, 2013

­4

­3

­2

­1

0

1

2

3

4

5

6

7

8

9

10

14
Module 2 Lesson 6.notebook

November 06, 2013

|­7 ­ (­4)| = |­7 + 4| = |­3| = 3
­10

­9

­8

­7

­6

­5

­4

­3

­2

­1

0

1

2

3

4

5

6

7

8

9

10

|­18 ­ 15| = |­18 + (­15)| = 33

­33

140 ­ (­40) = 
140 + 40 = ­180

15
Module 2 Lesson 6.notebook

November 06, 2013

CLOSING:
• How can we use a number line to find the distance between two
rational numbers?

• What does it mean to find the absolute value of a number ?

• Is it possible to use absolute value to find distance between a
number, p, and another number, =, that isnot zero ? If so how?

• Is distance always positive? Is change always positive?

16
Module 2 Lesson 6.notebook

November 06, 2013

17

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Module 2 lesson 6