4
LESSON 4
Exploring Graphs of Proportional Relationships Identify proportional relationships represented as graphs. Interpret and make sense of the point (0, 0) in context.
EUREKA MATH2
7 ▸ M1 ▸ TA ▸ Lesson 4
EXIT TICKET Name
Date
4
Pedro earns extra money doing yard work in his neighborhood. He creates a graph showing the number of hours he works and the amount of money he earns. y
Earnings (dollars)
50
Lesson at a Glance In this lesson, students connect proportional relationships represented in tables to their graphical representations. Students sort tables into two categories, proportional and not proportional, and match each table with its graph. Students generalize the key characteristics of graphical representations of proportional relationships: that the points lie on a line through the origin. This lesson introduces the term constant of proportionality.
40
Key Question
30
• How can we determine whether a graph represents a proportional relationship?
20
10
0
2
4
6
8
x
Achievement Descriptors
Time (hours)
a. Based on the graph, does the amount of money Pedro earns appear to be proportional to the number of hours he works? Explain how you know. Yes. The amount of money Pedro earns appears to be proportional to the number of hours he works. The graph looks linear, and it appears that a line connecting the points would go through the origin.
7.Mod1.AD5 Interpret the meaning of any point (x,
The point (0, 0) means that Pedro works 0 hours and earns $0.
y) on the graph
of a proportional relationship in terms of the situation, including the points (0, 0) and (1, r), where r is the unit rate. (7.RP.A.2.d)
c. How much money does Pedro earn if he only works 1 hour? Explain how you know. 40 5
7.Mod1.AD3 Identify the constant of proportionality in proportional
relationships. (7.RP.A.2.b)
b. Pedro adds the point (0, 0) to his graph. What does the point (0, 0) mean in this context?
Pedro earns $40 for 5 hours of work.
7.Mod1.AD2 Recognize proportional relationships. (7.RP.A.2.a)
= 8
This is a rate of $8 per hour. Pedro earns $8 for 1 hour of work. Copyright © Great Minds PBC
49
Copyright © Great Minds PBC
EM2_0701TE_A_L04.indd 58
29-Aug-21 4:28:56 PM