Packet Page 1
Unit 3: Linear Functions (pg. 149)
Name:____________________
Subject:
Math 1
Main Idea
Lesson 1: Modeling Linear Relationships
Think About The Situation (Launch) pg. 150
Date:________
Details
Indicate the
independent and
dependent axis ->
a)
b) 1 application:
c)
13 applications:
25 applications:
Packet Page 2
U3-Lesson 1: Modeling Linear Relationships
Investigation 1: Getting Credit
pg. 150-156
Focus Question(s)
How are patterns in tables of values, graphs, symbolic rules, and problem conditions for
linear functions related to each other?
Main Idea
Selling Credit Cards
Details (pg 152)
1) Barry’s Rule:
a.
b.
c. Zero applications:
Rule:
Table:
Graph:
d. For each additional application he earns:
Rule:
Table:
Graph:
Next / Now rules – one
step at a time!
e. Next =
Starting at:
Packet Page 3
U3-Lesson 1: Modeling Linear Relationships
Investigation 1: Getting Credit
pg. 150-156
Focus Question(s)
How are patterns in tables of values, graphs, symbolic rules, and problem conditions for
linear functions related to each other?
Main Idea
Selling Credit Cards
Details (pg 152)
2) Cheri’s Table:
a.
Linear Y / N Explain:
b.
c.
Next / Now rules – one
step at a time!
d. For each additional application he earns:
Next =
Starting at:
Packet Page 4
U3-Lesson 1: Modeling Linear Relationships
Investigation 1: Getting Credit
pg. 150-156
Focus Question(s)
How are patterns in tables of values, graphs, symbolic rules, and problem conditions for
linear functions related to each other?
Main Idea
Details (pg 153)
e.
i. Rule:
Explain
ii.
3)
a.
Explain:
b. Atlantic Bank rule:
Explain the numbers:
Packet Page 5
U3-Lesson 1: Modeling Linear Relationships
Investigation 1: Getting Credit
pg. 150-156
Focus Question(s)
How are patterns in tables of values, graphs, symbolic rules, and problem conditions for
linear functions related to each other?
Main Idea
Buying on Credit
Details (pg 154)
4) Emily’s Information:
a.
Show 1 (or 2) calculations:
b. Will pay off? Y / N Explain:
Next / Now rules – one
step at a time!
c. Next =
Starting at:
(NOW)
d.
e. Rates of Change
Rate of Change
Units
0 to 2
2 to 3
3 to 6
i.
ii. Graph (from a):
Function rule (from c):
f. Starting balance:
table:
graph:
Function rule:
Packet Page 6
U3-Lesson 1: Modeling Linear Relationships
Investigation 1: Getting Credit
pg. 150-156
Focus Question(s)
How are patterns in tables of values, graphs, symbolic rules, and problem conditions for
linear functions related to each other?
Main Idea
Buying on Credit
Details (pg 155)
5)
a.
Explain:
b. Darryl:
initial amount:
Payment plan:
Felicia:
initial amount:
Payment plan:
Packet Page 7
U3-Lesson 1: Modeling Linear Relationships
Investigation 1: Getting Credit
pg. 150-156
Focus Question(s)
How are patterns in tables of values, graphs, symbolic rules, and problem conditions for
linear functions related to each other?
Main Idea
Details (pg 155)
Linear Functions without
Contexts
SLOPE:
Y-INTERCEPT:
6) Enter the rules into your calculator and view with a matching window
a.
Rule:
Coordinate Points:
A:
B:
C:
Slopes:
A-B:
B-C:
A-C:
Y-intercept coordinates:
Explain how the numbers from the rule relate to the graph:
Packet Page 8
U3-Lesson 1: Modeling Linear Relationships
Investigation 1: Getting Credit
pg. 150-156
Focus Question(s)
How are patterns in tables of values, graphs, symbolic rules, and problem conditions for
linear functions related to each other?
Main Idea
Details (pg 155)
Linear Functions without b.
Contexts
Rule:
Coordinate Points:
A:
B:
C:
Slopes:
A-B:
B-C:
A-C:
Y-intercept coordinates:
Explain how the numbers from the rule relate to the graph:
c.
Rule:
Coordinate Points:
A:
B:
C:
Slopes:
A-B:
B-C:
A-C:
Y-intercept coordinates:
Explain how the numbers from the rule relate to the graph:
Packet Page 9
U3-Lesson 1: Modeling Linear Relationships
Investigation 1: Getting Credit
pg. 150-156
Focus Question(s)
How are patterns in tables of values, graphs, symbolic rules, and problem conditions for
linear functions related to each other?
Main Idea
Details (pg 155)
Linear Functions without d.
Contexts
Rule:
Coordinate Points:
A:
B:
C:
Slopes:
A-B:
B-C:
A-C:
Y-intercept coordinates:
Explain how the numbers from the rule relate to the graph: