1. MS Algebra A-F-IF-1 – Ch. 5.1 Functions as Ordered Pairs
Mr. Deyo
Represent Functions as Ordered Pairs with a Domain and a Range

2. Title: 5.1 Functions as Ordered Pairs
Date:
Learning Target
By the end of the period, I will represent a function as a set of ordered pairs with a domain { x } and a range { f(x) }.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.1 Pg ) Section ______
TxtBk. Prob. #5-15 Odd,26-30 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar?
How are they different?
How can these two images be related to math?
IMAGE 1
IMAGE 2

5. Daily Warm-Up Exercises
For use with pages xxx–xxx
Gabe spent $4 more than twice as much as Casey at a store. If Casey spent $6, how much did Gabe spend?
Write an expression:
7 more than a number x.

6. Daily Warm-Up Exercises
For use with pages xxx–xxx
Gabe spent $4 more than twice as much as Casey at a store. If Casey spent $6, how much did Gabe spend?
Write an expression:
7 more than a number x.
ANSWER
G = 4 + 2C
G = 4 + 2(6)
G =
ANSWER
x + 7 or
7 + x
G = $16

7. Vocabulary Relation Domain Range Function Independent Variable (x)
Dependent Variable f(x) or y

8. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

9. Rule  Function Machine
Notes: x
f(x)
Rule 
Function
Machine

10. a. Write the table as a set of ordered pairs.
Problem A
Identify the domain and range of a relation
Amount (gallons) 10 12 13 17
Cost (dollars)
29.99
35.99
38.99
50.98
The table shows the cost of various amounts of regular unleaded gas from the same pump.
a. Write the table as a set of ordered pairs.
b. Identify the domain and range of the relation. 10

11. a. Write the table as a set of ordered pairs.
Problem A
Identify the domain and range of a relation
SOLUTION
Amount (gallons) 10 12 13 17
Cost (dollars)
29.99
35.99
38.99
50.98
The table shows the cost of various amounts of regular unleaded gas from the same pump.
a. Write the table as a set of ordered pairs.
b. Identify the domain and range of the relation.
The table can be written as {(10, 29.99), (12, 35.99), (13, 38.99), (17, 50.98)}.
The domain is 10, 12, 13, 17.
The range is 29.99, 35.99, , 11

12. {(-1, 9), (0, 4), (3, 1), (8, -2)} Domain: Range:
Problem B
Identify the domain and range of the relation:
{(-1, 9), (0, 4), (3, 1), (8, -2)}
Domain:
Range:

13. {(-1, 9), (0, 4), (3, 1), (8, -2)} Domain: -1, 0, 3, 8
Problem B
Identify the domain and range of the relation:
{(-1, 9), (0, 4), (3, 1), (8, -2)}
ANSWER
Domain: -1, 0, 3, 8
Range: -2, 1, 4, 9

14. ALL CLASS
Multiple Choice Practice
Which relation is a function?
{ (0, -2), (0, 3), (5, -4), (10, 5) }
{ (0, -1), (1, 2), (4, 8), (6, 12) }
{ (0, 7), (-1, 7), (-2, 7), (-2, 8) }
{ (-2, 9), (4, 7), (4, 5), (6, -3) }

15. ALL CLASS
Multiple Choice Practice
SOLUTION
Choices A, C, and D are not functions because each relation contains a domain element that is paired with two different range elements. For instance, 0 is paired with both -2 and 3 in choice A.
The relation { (0, -1), (1, 2), (4, 8), (6, 12) } in choice B is a function because each domain element is paired with exactly one range element.
ANSWER
The correct answer is B. 15

16. Storm Check (Think, Write, Discuss, Report)
How does a relation qualify as a function?
A relation qualifies as a function when _______
___________________________________________
__________________________________________.

17. Title: 5.1 Functions as Ordered Pairs
Date:
Learning Target
By the end of the period, I will represent a function as a set of ordered pairs with a domain { x } and a range { f(x) }.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

18. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.1 Pg ) Section ______
TxtBk. Prob. #5-15 Odd,26-30 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

19. Rule  Function Machine
Problem A
Write a function rule
Write a rule for the function. x 1 6 4 y – 2 3 8
Rule 
Function
Machine

20. So, a rule for the function is y = x + 2.
Problem A
SOLUTION
Write a function rule
Write a rule for the function. x 1 6 4 y – 2 3 8
Notice that each output y is 2 more than the corresponding input x.
So, a rule for the function is y = x + 2.

21. Rule  Function Machine
Problem B
SOLUTION
Write a function rule
Write a rule for the function. x 1 6 4 y – 2 12 8 -2
Rule 
Function
Machine

22. y = 2x Rule  Function Machine Write a rule for the function. x 1 6 4
Problem B
SOLUTION
Write a function rule
Write a rule for the function. x 1 6 4 y – 2 12 8 -2 -1 1 4 6
Rule 
y = 2x
Function
Machine -2 2 8 12

23. Identify the independent and dependent variables.
Write a function rule for a real-world situation
CONCERT TICKETS
Problem A
You are buying concert tickets for _____________________ that cost $15 each.
Write the total cost (in dollars) of the tickets as a function of the number of tickets you buy.
Identify the independent and dependent variables.
How much would 6 tickets cost?

24. Identify the independent and dependent variables.
Write a function rule for a real-world situation
CONCERT TICKETS
Problem A
SOLUTION
You are buying concert tickets for _____________________ that cost $15 each.
Write the total cost (in dollars) of the tickets as a function of the number of tickets you buy.
Identify the independent and dependent variables.
How much would 6 tickets cost?
Write a verbal model. Then write a function rule. Let T represent the number of tickets bought and C represent the total cost (in dollars).
1) The function rule is C = 15T. 2) The total cost depends on the tickets bought, so T is the independent variable and C is the dependent variable. 3) Six tickets would cost 15(6) or $90.

25. Write a rule for the function. Identify the Independent Variable
Problem B
Time (hours) 1 2 4 3
Pay (dollars) 8 16 32 24
Write a rule for the function.
Identify the Independent Variable
Identify the Dependent Variable
** Identify the domain and the range.

26. Write a rule for the function. P = 8T
Problem B
ANSWER
Time (hours) 1 2 4 3
Pay (dollars) 8 16 32 24
Write a rule for the function. P = 8T
Identify the Independent Variable T: Time
Identify the Dependent Variable P: Pay
** Identify the domain and the range.
1, 2, 3, 4 8, 16, 24, 32

27. Vocabulary Relation Domain Range Function Independent Variable (x)
Dependent Variable f(x) or y

28. Title: 5.1 Functions as Ordered Pairs
Date:
Learning Target
By the end of the period, I will represent a function as a set of ordered pairs with a domain { x } and a range { f(x) }.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

29. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.1 Pg ) Section ______
TxtBk. Prob. #5-15 Odd,26-30 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

30. Ticket OUT.
Identify the domain and range of the relation
Determine whether the relation is a function.
{ (3, -2), (6, 4), (7, -1), (10, 1) }
{ (-1, 4), (2, 5), (2, 9), (4, -4) }
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.

31. Ticket OUT.
Identify the domain and range of the relation
Determine whether the relation is a function.
{ (3, -2), (6, 4), (7, -1), (10, 1) }
{ (-1, 4), (2, 5), (2, 9), (4, -4) }
ANSWER
ANSWER
domain: 3, 6, 7, 10
NOT a function
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.
range: -2, -1, 1, 4
each domain element is NOT paired with exactly one range element