1. 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
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2. Module 2 Lesson 6.notebook
November 06, 2013
­2
­2 +7 = 5
5 + (­9) = ­4
­2 ­ (­7) = 5
­8 + (­6) = ­14
­14 + 2 = ­12
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3. Module 2 Lesson 6.notebook
November 06, 2013
Problem Set 5
Answer Key
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4. Module 2 Lesson 6.notebook
November 06, 2013
Problem Set 5
Answer Key
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5. 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
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6. Module 2 Lesson 6.notebook
November 06, 2013
Problem Set 5
Answer Key
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7. Module 2 Lesson 6.notebook
November 06, 2013
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8. 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?
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9. Module 2 Lesson 6.notebook
November 06, 2013
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10. Module 2 Lesson 6.notebook
November 06, 2013
­6 ­ (­10) = ­6 + 10 = 4
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11. Module 2 Lesson 6.notebook
November 06, 2013
|­3 ­ 2| = |­3 + (­2)|
= |­5| = 5
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12. Module 2 Lesson 6.notebook
November 06, 2013
|­200 ­ 580| = |­200 + (­580)|
= |­780| = 780
780 increase
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13. Module 2 Lesson 6.notebook
November 06, 2013
780
­780 ft, 780 ft decrease
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14. 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
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15. 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
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16. 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?
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17. Module 2 Lesson 6.notebook
November 06, 2013
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