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SDAP**
1.4 Identify5HSUHVHQWUHDOZRUOGDQGPDWKHPDWLFDOSUREOHPVE\JUDSKLQJ
ordered pairs of data from a graph and interpret the
SRLQWVLQWKHILUVWTXDGUDQWRIWKHFRRUGLQDWHSODQHDQGLQWHUSUHWFRRUGLQDWHYDOXHVRI
meaning of the data in terms of the situation depicted by the
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UNDERLYING SKILLS AND CONCEPTS:
understand ordered pairs;
make graphs; name and locate
ordered pairs; understand negative
integers
graph.
SDAP 1.5 Know how to write ordered pairs correctly; for example, (x, y).
Graph Ordered Pairs
You can represent an input value and its corresponding
output value using an ordered pair.
E x am p l E
This table shows the number of bookstore coupons you can earn by reading books
in the Read-a-thon.
Read this number of books
Earn this number of coupons
5
1
10
2
15
3
20
4
25
5
30
6
The information can also be shown as ordered pairs.
The ordered pairs: (5, 1) (10, 2) (15, 3) (20, 4) (25, 5) (30, 6)
The relationship between the two numbers:
(number of books, number of coupons)
These ordered pairs can be shown on a line graph.
How many books must you read to earn 3 coupons?
6
Find 3 coupons on the y-axis.
Move to the right to its point (15, 3).
5
4
You must read 15 books.
3
How many coupons do you earn by reading 30 books?
2
1
Find 30 books on the x-axis.
Move up to its point (30, 6).
5 10 15 20 25 30
Number of Books
How many coupons do you
earn for reading 7 books?
Since 7 is ! 5 and 7 " 10,
you earn 1 coupon.
page 368
You earn 6 coupons.
Book
Book
Book
Book
Book
I read
a LOT
of books!
Book
Book
Book
Book
Book
Chapter 31 – Lesson 4
E – © CSL Associates, Inc. All rights reserved.
Number of Coupons
7
Name
P RAC T I C E
Use the table to answer these questions.
1. How much money has Alan saved after 3 weeks?
2 $10 $20.00
Week
$10 bills
2. Write the information in the table as ordered pairs.
1
0
2
1
3
2
4
3
(1, 0), (2, 1), (3, 2), (4, 3)
3. What information is shown by the
ordered pair (1, 0)?
He saved no $10 bills by
6. How much money has Alan saved
between the second and third week?
$10
week 1.
4. What happens to Alan’s savings
7. What information is shown by
the ordered pair (2, 3)?
every week?
Data not shown.
It increases by $10.00.
5. What relationship does the table show?
one $10 dollar bill by week 2?
(2, 1)
of savings.
Choose the best answer.
9. Which graph shows the relationship between quarts and cups?
0 12 3 4
quarts
Math
Reasoning
12
10
8
6
4
2
C
12
10
8
6
4
2
0 12 3 4
quarts
0 12 3 4
quarts
Coordinate Grids
D
cups
B
cups
12
10
8
6
4
2
cups
A
cups
E – © CSL Associates, Inc. All rights reserved.
The week and the amount
8. What ordered pair shows that Alan saved
12
10
8
6
4
2
0 12 3 4
quarts
MR 3.2
10. Where do you find the point (0, 0) on a line graph?
At the intersection of the x-axis and y-axis.
Chapter 31 – Lesson 4
page 369
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:03
Page 248
Name
…at home!
P RAC T I C E
Use the table to answer these questions.
1. How much money has Alan saved after 4 weeks?
4 $10 $30.00
Week
$10 bills
2. Write the information in the table as ordered pairs.
1
0
2
1
3
2
4
3
(1, 0), (2, 1), (3, 2), (4, 3)
3. What information is shown by the
ordered pair (2, 1)?
He saved one $10 bill by
6. How much money has Alan saved
between the third and fourth week?
Between $20 and $30
week 2.
4. What happens to Alan’s savings
7. What information is shown by
the ordered pair (4, 3)?
after two weeks?
After 4 weeks Alan has saved
5. Does the table show now many $5 bills
Alan has saved?
No. It only shows $10 bills.
3 $10 bills.
8. What ordered pair shows that Alan saved
two $10 dollar bills by week 3?
(3, 2)
Choose the best answer.
9. Which graph shows the relationship between gallons and quarts?
0 12 3 4
gallons
Math
Reasoning
12
10
8
6
4
2
C
12
10
8
6
4
2
0 12 3 4
gallons
0 12 3 4
gallons
Coordinate Grids
D
quarts
B
quarts
12
10
8
6
4
2
quarts
quarts
A
12
10
8
6
4
2
0 12 3 4
gallons
MR 3.2
10. Where do you find the point (0, 0) on a line graph?
At the intersection of the x-axis and y-axis.
page 248
Home Resource and Homework
Chapter 31 Lesson 4
E – © CSL Associates, Inc. All rights reserved.
It increases by $10.00.
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:51 Page 679
Name
P RAC T I C E
Use the table to answer these questions.
1. How much money has Alan saved after 3 weeks?
2 $10 $20.00
Week
$10 bills
2. Write the information in the table as ordered pairs.
1
0
2
1
3
2
4
3
(1, 0), (2, 1), (3, 2), (4, 3)
3. What information is shown by the
ordered pair (1, 0)?
He saved no $10 bills by
6. How much money has Alan saved
between the second and third week?
$10
week 1.
4. What happens to Alan’s savings
7. What information is shown by
the ordered pair (2, 3)?
every week?
Data not shown.
It increases by $10.00.
5. What relationship does the table show?
one $10 dollar bill by week 2?
(2, 1)
of savings.
Choose the best answer.
9. Which graph shows the relationship between quarts and cups?
0 12 3 4
quarts
Math
Reasoning
C
12
10
8
6
4
2
12
10
8
6
4
2
0 12 3 4
quarts
0 12 3 4
quarts
Coordinate Grids
D
cups
B
cups
12
10
8
6
4
2
cups
A
cups
E – © CSL Associates, Inc. All rights reserved.
The week and the amount
8. What ordered pair shows that Alan saved
12
10
8
6
4
2
0 12 3 4
quarts
MR 3.2
10. Where do you find the point (0, 0) on a line graph?
At the intersection of the x-axis and y-axis.
Chapter 31 – Lesson 4
Student Book Page
page 369
Name
…at home!
P RAC T I C E
Use the table to answer these questions.
1. How much money has Alan saved after 4 weeks?
4 $10 $30.00
Week
$10 bills
2. Write the information in the table as ordered pairs.
1
0
2
1
3
2
4
3
(1, 0), (2, 1), (3, 2), (4, 3)
3. What information is shown by the
ordered pair (2, 1)?
He saved one $10 bill by
6. How much money has Alan saved
between the third and fourth week?
Between $20 and $30
week 2.
4. What happens to Alan’s savings
7. What information is shown by
the ordered pair (4, 3)?
after two weeks?
After 4 weeks Alan has saved
5. Does the table show now many $5 bills
Alan has saved?
No. It only shows $10 bills.
3 $10 bills.
8. What ordered pair shows that Alan saved
two $10 dollar bills by week 3?
(3, 2)
Choose the best answer.
9. Which graph shows the relationship between gallons and quarts?
0 12 3 4
gallons
Math
Reasoning
12
10
8
6
4
2
C
12
10
8
6
4
2
0 12 3 4
gallons
0 12 3 4
gallons
Coordinate Grids
D
quarts
B
quarts
12
10
8
6
4
2
quarts
quarts
A
12
10
8
6
4
2
0 12 3 4
gallons
MR 3.2
10. Where do you find the point (0, 0) on a line graph?
At the intersection of the x-axis and y-axis.
page 248
Home Resource and Homework
Chapter 31 Lesson 4
E – © CSL Associates, Inc. All rights reserved.
It increases by $10.00.