7.4.1-Explore Graphing Proportional Relationships

Presentation

•

Mathematics

•

7th Grade

•

Medium

•

CCSS

7.RP.A.2D, 5.G.A.1, 8.EE.B.5

Standards-aligned

Jessica Freeman

Used 8+ times

FREE Resource

15 Slides • 22 Questions

Multiple Choice

Which axis runs vertically?

Multiple Choice

Which axis runs horizontally?

Multiple Choice

How do you write an ordered pair?

(X,X)

(Y,X)

(X,Y)

(Y,Y)

Multiple Choice

In the ordered pair (4,9) which number is the Y COORDINATE?

neither

both

Multiple Choice

Where is Point A on the coordinate plane?

(7,4)

(1,3)

(9,3)

(4,7)

Multiple Choice

The coordinates for the origin in the coordinate plane are________?

(1,1)

(0,0)

(0,1)

(1,0)

Multiple Choice

The two number lines are called the _______.

origin

axes

quadrants

coordinates

Multiple Choice

What is located at (5,3)?

nothing

point A

the park

point B

Properties of Proportional Graphs

All graphs of proportional relationships are represented with a straight line to show a constant rate also known as LINEAR.
All proportional relationships pass through the origin.
Can be used to calculate the unit rate or constant of proportionality.

Multiple Choice

The graph represents the number of laps a car drove around a track compared to the number of minutes.

How many laps did the car do in 6 minutes?

(Click the graph to enlarge the image.)

2 laps

6 laps

4 laps

9 laps

Calculating Unit Rate from a Proportional Graph

We can use individual points on the line to calculate the unit rate...

We just need to remember to create a ratio and divide.

Multiple Choice

What is the unit rate in miles per hour for this proportional relationship?

(Click the graph to enlarge the image.)

60 miles per hour

120 miles per 2 hours

1 mile per hour

60 miles per 2 hours

Multiple Choice

What is the constant of proportionality (unit rate) of the speed of the sloth based on the graph?

(Click the graph to enlarge the image.)

1 minute per 6 feet

6 feet per minute

1 minute per 3 feet

3 feet per minute

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.

Multiple Choice

The graph represents the number of words Taylor can type over a certain number of minutes. Which of the following statements is true?

(Click the graph to enlarge the image.)

Taylor can write 6 words per minute

Taylor can write 25 words per minute

Taylor can write 50 words per minute

Taylor can write 150 words per minute

Multiple Choice

At what rate did the rain fall?

2 cm per hour

¹/₄ cm per hour

¹/₂ cm per hour

4 cm per hour

Multiple Choice

Which company shows a greater rate of change?

Water's Edge Rafts

Ryan's Rafts

Look at the crosshairs.

k = y/x

y = k(x)

Writing Equations (y = kx) from Graphs

Look for the point where x = 1. This is the k value!! (unit rate)
You can use any point (x,y) on the graph and divide y/x.
Write the equation in the form y = kx.

Multiple Choice

Which equation represents the proportional graph?

(Click on the graph to make it bigger)

$y\ =\ \frac{1}{2}x$

y = 4x

y = 2x

$y\ =\ \frac{1}{4}x$

Multiple Select

Select ALL of the graphs that could represent a proportional relationship.

Constant of proportionality from graphs

What are two different ways you can find a constant of proportionality using a graph?

Look at x=1 on the line to find what y equals...that is your constant.
Pick any clear point. Divide y by x.

Open Ended

What does the point (4, 60) on the graph represent?

Type response here

Poll

What is the constant of proportionality?

1/15

1/20

Open Ended

If I wanted to know how many hours it would take Damon to bike 72 miles, what would I do?

Type response here

Multiple Choice

How long would it take Damon to bike 72 miles?

5.8 hours

0.21 hours

4.8 hours

0.48 hours

Multiple Choice

What is the equation of this graph?

y = kx

y = 15x

y = x/15

y = k/x

Show answer

Auto Play

Slide 1 / 37

SLIDE

Similar Resources on Wayground

32 questions

Multiplying & Dividing Fractions & Mixed #'s

Presentation

•

6th - 8th Grade

32 questions

Mexico Geography

Presentation

•

7th Grade

32 questions

One step equations

Presentation

•

7th Grade

33 questions

Variations

Presentation

•

7th Grade

30 questions

Finding Rate in a Table

Presentation

•

7th Grade

31 questions

Subtracting Integers

Presentation

•

7th Grade

30 questions

Review for Quiz 4/13/23 Triangles

Presentation

•

7th Grade

34 questions

Math 6 - MAD, IQR, and Data Distribution

Presentation

•

6th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

7.4.1-Explore Graphing Proportional Relationships

Properties of Proportional Graphs

Calculating Unit Rate from a Proportional Graph

​k = y/x

y = k(x)

Writing Equations (y = kx) from Graphs

​Constant of proportionality from graphs

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

k = y/x

Constant of proportionality from graphs