&&66
NS 1.5*16
Identify8QGHUVWDQGWKDWSRVLWLYHDQGQHJDWLYHQXPEHUVDUHXVHGWRJHWKHU
and represent on a number line positive and negative
WRGHVFULEHTXDQWLWLHVKDYLQJRSSRVLWHGLUHFWLRQVRUYDOXHVHJWHPSHUDWXUH
integers, decimals, fractions and mixed numbers.
DERYHEHORZ]HURHOHYDWLRQDERYHEHORZVHDOHYHOFUHGLWVGHELWVSRVLWLYHQHJDWLYH
HOHFWULFFKDUJHXVHSRVLWLYHDQGQHJDWLYHQXPEHUVWRUHSUHVHQWTXDQWLWLHVLQUHDOZRUOG
FRQWH[WVH[SODLQLQJWKHPHDQLQJRILQHDFKVLWXDWLRQ
&&66 *16
UNDERLYING SKILLS AND CONCEPTS:
use whole numbers;
read a number line
8QGHUVWDQGDUDWLRQDOQXPEHUDVDSRLQWRQWKHQXPEHUOLQH
Understand Positive and Negative Numbers
A negative number is any number less than 0.
Hey!
I am at !7.
I am a
negative
number.
They are all integers!
Integers can be
" or ! or zero.
Hey!
I am at 7.
I am a
positive
number.
Hey!
I am at 0.
I am neither
positive nor
negative!
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10
The numbers to the left of 0 are less than 0. They are negative numbers.
The numbers to the right of 0 are greater than 0. They are positive numbers.
Write negative numbers with a ! in front of the number:
See !2: say “negative 2.”
E x am p l E
1
A thermometer is like a number line turned on its side.
It shows negative and positive numbers.
During the winter in some places the temperature
can drop to 30 degrees below zero or !30°.
!30 is an example of a negative number.
E x am p l E
2
You can use negative numbers to show
a decrease in an amount.
Decrease means something is less.
If you owe $29 on a credit card,
you have a balance of !$29.
page 74
–30.
Boy!
That is
cold!
E x am p l E
100
90
80
70
60
50
40
30
20
10
0
–10
–20
–30
–40
3
A submarine 25 feet below sea level
is at !25 feet.
Think: Sea level is 0.
The submarine is at 25 feet less than 0.
Chapter 7 – Lesson 1
E – © CSL Associates, Inc. All rights reserved.
You can write a " in front of positive numbers, like “"3.”
Name
P RAC T I C E
Write a negative number or a positive number for each situation.
42
2. owing $75
75
487
4. earning $90
90 or 90
1. 42 degrees below zero
3. 487 feet below sea level
5. 72 degrees above zero
72 or 72
33
7. a 33-foot drop
6. winning 5 points in a game
5 or 5
8. losing 3 points in a game
3
Write the opposite of each number.
9. 4
13. 0
17. 4
4
10. 1
1
11. 3
3
12. 23
23
0
14. 9
9
15. 8
8
16. 66
66
4
18. 12
12
19. 125 125
20. 709 709
Solve each problem.
21. Adriana had no money in her savings account in June.
E – © CSL Associates, Inc. All rights reserved.
She mowed lawns all summer, and by September
she had $97 in her account.
How would you write this increase in her savings?
$97 or $97
22. Yolanda earns $5.76 an hour at her after school job.
She got a $1.00 per hour raise.
How would you write this raise?
1 or $1.00
23. Eric used to earn $7.32 per hour at his summer job. He was late
to work so often that his boss dropped his pay to $5.32
per hour. How would you write this change in pay?
2 or $ 2.00
24. Death Valley in central California is 280 feet below sea level.
Mt. Whitney is 14,500 feet above sea level. How do you
write these facts using positive and negative integers? 280 ft and 14,500 ft
Math
Reasoning
Integer Opposites
MR 2.2, 2.3
25. Suppose the temperature is 5 degrees F. Then the temperature goes up 5 degrees.
What is the temperature now? Explain how you decided.
0 degrees. 5 5 0 because a number plus its opposite 0.
Chapter 7 – Lesson 1
page 75
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:02
Page 50
Name
…at home!
P RAC T I C E
Write a negative number or a positive number for each situation.
36
2. owing $48
$48
395
4. earning $60
$60 or $60
1. 36 degrees below zero
3. 395 feet below sea level
5. 64 degrees above zero
64 or 64
26
7. a 26-foot drop
6. winning 6 points in a game
6 or 6
8. losing 4 points in a game
4
Write the opposite of each number.
9. 6
13. 0
17. 5
6
10. 2
2
11. 4
4
12. 36
36
0
14. 8
8
15. 6
6
16. 77
77
5
18. 10
10
19. 108 108
20. 802 802
Solve each problem.
21. Maria had no money in her savings account in May.
She mowed lawns all summer, and by September
she had $85 dollars in her account.
How would you write this increase in her savings?
22. Megan earns $7.50 an hour at her after school job.
She got a $1.00 per hour raise.
How would you write this raise?
1 or $1.00
23. Kieran used to earn $6.85 per hour at his summer job. He was late
to work so often that his boss dropped his pay to $4.85
per hour. How would you write this change in pay?
2 or $ 2.00
24. Death Valley in central California is 280 feet below sea level.
Mt. Rainer is 14,410 feet above sea level. How do you
write these facts using positive and negative integers? 280 ft and 14,410 ft
Math
Reasoning
Integer Opposites
MR 2.2, 2.3
25. Suppose the temperature is 8 degrees F. Then the temperature goes up 8 degrees.
What is the temperature now? Explain how you decided.
0 degrees F; 8 8 0 because a number plus its opposite 0
page 50
Home Resource and Homework
Chapter 7 Lesson 1
E – © CSL Associates, Inc. All rights reserved.
$85 or $85
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:44 Page 139
Name
P RAC T I C E
Write a negative number or a positive number for each situation.
42
2. owing $75
75
487
4. earning $90
90 or 90
1. 42 degrees below zero
3. 487 feet below sea level
5. 72 degrees above zero
72 or 72
33
7. a 33-foot drop
6. winning 5 points in a game
5 or 5
8. losing 3 points in a game
3
Write the opposite of each number.
9. 4
13. 0
17. 4
4
10. 1
1
11. 3
3
12. 23
23
0
14. 9
9
15. 8
8
16. 66
66
4
18. 12
12
19. 125 125
20. 709 709
Solve each problem.
21. Adriana had no money in her savings account in June.
E – © CSL Associates, Inc. All rights reserved.
She mowed lawns all summer, and by September
she had $97 in her account.
How would you write this increase in her savings?
$97 or $97
22. Yolanda earns $5.76 an hour at her after school job.
She got a $1.00 per hour raise.
How would you write this raise?
1 or $1.00
23. Eric used to earn $7.32 per hour at his summer job. He was late
to work so often that his boss dropped his pay to $5.32
per hour. How would you write this change in pay?
2 or $ 2.00
24. Death Valley in central California is 280 feet below sea level.
Mt. Whitney is 14,500 feet above sea level. How do you
write these facts using positive and negative integers? 280 ft and 14,500 ft
Math
Reasoning
Integer Opposites
MR 2.2, 2.3
25. Suppose the temperature is 5 degrees F. Then the temperature goes up 5 degrees.
What is the temperature now? Explain how you decided.
0 degrees. 5 5 0 because a number plus its opposite 0.
Chapter 7 – Lesson 1
Student Book Page
page 75
Name
…at home!
P RAC T I C E
Write a negative number or a positive number for each situation.
36
2. owing $48
$48
395
4. earning $60
$60 or $60
1. 36 degrees below zero
3. 395 feet below sea level
5. 64 degrees above zero
64 or 64
26
7. a 26-foot drop
6. winning 6 points in a game
6 or 6
8. losing 4 points in a game
4
Write the opposite of each number.
9. 6
13. 0
17. 5
6
10. 2
2
11. 4
4
12. 36
36
0
14. 8
8
15. 6
6
16. 77
77
5
18. 10
10
19. 108 108
20. 802 802
Solve each problem.
21. Maria had no money in her savings account in May.
She mowed lawns all summer, and by September
she had $85 dollars in her account.
How would you write this increase in her savings?
22. Megan earns $7.50 an hour at her after school job.
She got a $1.00 per hour raise.
How would you write this raise?
1 or $1.00
23. Kieran used to earn $6.85 per hour at his summer job. He was late
to work so often that his boss dropped his pay to $4.85
per hour. How would you write this change in pay?
2 or $ 2.00
24. Death Valley in central California is 280 feet below sea level.
Mt. Rainer is 14,410 feet above sea level. How do you
write these facts using positive and negative integers? 280 ft and 14,410 ft
Math
Reasoning
Integer Opposites
MR 2.2, 2.3
25. Suppose the temperature is 8 degrees F. Then the temperature goes up 8 degrees.
What is the temperature now? Explain how you decided.
0 degrees F; 8 8 0 because a number plus its opposite 0
page 50
Home Resource and Homework
Chapter 7 Lesson 1
E – © CSL Associates, Inc. All rights reserved.
$85 or $85