Lesson 4.3 PART 1 - Graphing Proportional Relationships

​Do Now:

​LO SWBAT Use graphs to identify if the relationship is proportional by using K=Y/X to find the constant rate of proportionality-(4.3) CCSS 7RP2a

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Success Criteria:

​To come up with a method of identifying wether or not a table or graph is proportional

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​To make a table out of a given graph

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​REAL WORLD VIDEO:

​Review Unit Rate-Video

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Graphing Proportional Relationships

LESSON 4.3

Multiple Choice

The origin is located where in the coordinate plane?

• (10,10)

• (100,100)

• (1,0)

• (0,0)

Open Ended

Based on the table, is this a proportional relationship? Explain your answer

Open Ended

If the showerhead is used for 0 minutes, how many gallons of water will be used? What ordered pair represents this situation? What is this location called?

Analyzing Graphs

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NOTICING AND WONDERINGS-ANALYZING GRAPHS

​WHAT DO YOU NOTICE ABOUT THE GRAPH, WHAT DO YOU WONDER?

GO MATH PAGE 131

Multiple Choice

What does the point (20, 2) represents ?

• The distance 2 minutes that Damon runs in 20 minutes.

• The distance 20 miles that Damon runs in 2 minutes.

• The distance 2 miles that Damon runs in 20 minutes.

• The distance 2 miles that Damon runs in 2 miles.

Multiple Choice

What is the constant of proportionality ? Given: (20, 2) 

$$k\ =\ \frac{y}{x}$$  

• k = 10

• k = 1/10

• k = 0.5

• k = 2

GO MATH PAGE 131

Multiple Choice

If the constant of proportionality (k) is 1/10. Write an equation to represent the line.

y = kx

• y=10x

• y = 1/10 x

• 1/10 = kx

• y= k(1/10)

Multiple Choice

Tell whether the relationship is a proportional relationship. If yes, find the constant of proportionality (k).

• yes, k = 2

• yes, k = 40

• yes, k = 20

• no

The graph for the compact car would be steeper.

GO MATH PAGE 131

Multiple Choice

What is the unit rate for the rain fall?

(Click on the graph to enlarge the image.)

• 2 cm per hour

• 1 cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

Multiple Choice

The following graph is not proportional, why is that?

(Click the graph to enlarge the image.)

• We don't know what number it starts at.

• It does not pass through the origin.

• But it IS proportional!

Multiple Choice

The graph above shows the price of games in dollars. Is the graph proportional and how do you know?

(Click the graph to enlarge the picture.)

• The graph is proportional because it is a straight line.

• The graph is proportional because it is a straight line that passes through the origin.

• The graph is not proportional because it does not pass through the origin.

• The graph is not proportional because it is not a straight line and it does not pass through the origin.

Open Ended

What did you learned today? Explain briefly what makes a graph between two quantities proportional?

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