Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
Module 1
Ratios and Proportional Relationships
Lessons 7­10
Lesson #7 September 15, 2015 You need: pencil, calculator and binder.
Do Now:
1. Write an equation for this proportional relationship: Sally earned $108 after working for 9 hours at her job.
2. Use your equation from #1 to calculate how much money she would earn after working for 50 hours.
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Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
Notes: Graphing Proportional Relationships
1. Draw a coordinate plane on your graph paper.
2. Label the x and y axes.
­ x axis: from ­10 to 10
­ y axis: from ­10 to 10
3. Label the origin.
4. Label the 4 quadrants.
5. Graph the following points:
A(3,5)
B(­4,8)
C(­7,­9)
D(2,­6)
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Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
Graphing Data
The INDEPENDENT variable goes on the x­axis.
The DEPENDENT variable goes on the y­axis.
How do you decide?
A) Two variables: Amount of money spent (A)
Price of the items you buy (P)
y
____ is dependent on ____
x
B) Two variables: Length of time between haircuts (T)
How long your hair gets (L)
y
____ is dependent on ____
x
C) Two variables: Hours spent babysitting (H)
Amount of money earned (M)
y
____ is dependent on ____
x
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Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
Try It!
CW: 1­7
1. Isaiah is selling candy bars to help raise money for his scout troop. The table shows the amount of candy he sold to the money he received. Create a graph based on the table.
­ Plot each point.
­ Use a ruler to connect the points. Remember to extend the line and include an arrow at the end.
x
y
2
3
4
6
6
9
8
12
Important Note:
Characteristics of graphs of proportional relationships:
1. Points lie in a straight line.
2. Line goes through the origin.
4
Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
Homework #4:
HW: 1­7 #1­3
1. The following table gives the number of people picking strawberries in a field and the corresponding number of hours that these people worked picking strawberries. Graph the table. x
y
1
3
7
1
4
2
Does the graph represent two quantities that are proportional to each other? Why or why not?
2. Fill in the table and given values to create quantities proportional to each other and graph.
x
y
2
4
5
Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
3. A) What are the differences between the graphs in Problems 1 and 2?
B) What are similarities in the graphs in Problems 1 and 2?
C) What makes one graph represent quantities that are proportional to each other and one graph that does not in Problems 1 and 2? 6
Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
Lesson #8 September 16, 2015 You need: pencil, calculator and binder.
Do Now:
1. Joe mows lawns during the summer. He earns $15 for every lawn he mows.
A) Complete the table based on the information above. Number of Lawns Mowed
Earnings ($)
B) Are earnings proportional to the number of lawns mowed?
C) What is the constant of proportionality?
D) What does it represent in the context of the problem?
E) Write an equation to represent the relationship.
F) Make a graph of Joe's earnings.
50
45
Earnings ($)
40
35
30
25
20
15
10
5
0
0 1 2 3 4 5 6 7 8 9 10 Number of Lawns Mowed
Correct HW #4 7
Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
Notes: Graphing Proportional Relationships
Every equation of a __________________________ has the form y = kx.
"k" represents the __________________________ or ____________________________________.
Try It!
CW: 1­8
1. Shawn completed his math homework at a rate of 4 problems every 2 minutes. A) Is the number of problems completed Time
# of Problems proportional to the number of minutes?
(minutes)
completed
x
y
B) What is the constant of proportionality?
C) What does it mean in the context of the problem?
D) Write an equation for the relationship.
# of problems done
E) Make a graph of Shawn's HW completion.
Time (minutes)
8
Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
Homework #5:
HW: 1­8 #1­3
1. Determine whether or not the following graphs represent two quantities that are proportional to each other. Give reasoning.
600
500
400
300
200
100
0
.
.
.
..
0 100 200 300 400 500 600
Money Donated
Age Versus Admission Price
Admission Price ($)
B)
Donated Money vs. Donations Matched by Benefactor
Donations Matched by Benefactor
A)
8
6
.......
4
2
0
0 1 2 3 4 5 6 7
Age (years)
Extra Credit vs. Problems Solved
Extra Credit Points
C)
25
20
.
.
... .
15
.
.
10
5
0
0 2 4 6 8
Problems Solved
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Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
2. Graph the following table and identify if the two quantities are proportional to each other on the graph.
x
y
3
1
6
2
9
3
12
4
10
Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
3. Graph the following table and identify if the two quantities are proportional to each other on the graph.
x
y
1
4
2
5
3
6
4
7
11
Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
Lesson #9 September 17, 2015 You need: pencil, calculator and binder.
Correct HW #5 Do Now: Review for Mid­Module Test
Homework:
Study for Mid­Module Test
12
Math 7 Module 1 Lessons 7­10.notebook
September 15, 2015
Lesson #10 September 18, 2015 You need: pencil, calculator and binder.
Do Now: Mid­Module Test
Homework
None!
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