1. Graphing proportional
relationships

2. How can you show an infinite number of possible answers?
Egg salad: 2 pound for $6
How much is one pound of egg salad? How about 6 pounds? You can display all the possibilities in a proportional relationship by graphing!
LearnZillion Notes:
--This is your hook. Start with a question to draw the student in. We want that student saying, “huh, how do you do X?” Try to be specific. For example, the hook could be “How do you know if 2/3 is greater than 5/8?” rather than something more generic such as “How do you compare fractions?”
--You can fill in an example using the blue text or you can delete that text box and include some other image that explains what you’re talking about.

3. Weight (lb.) 2 6 4 12 18 6 LearnZillion Notes:
--The Core Lesson may take more than one slide. You can add as many of these slides as you like. Simply click on “New Slide” and then select the Core Lesson template slide to add a new one.
--Feel free to move or resize the blue text box to fit your content. 18

4. Cost ($) (y) 2 6 4 12 18 6 Weight (lb.) LearnZillion Notes:
--The Core Lesson may take more than one slide. You can add as many of these slides as you like. Simply click on “New Slide” and then select the Core Lesson template slide to add a new one.
--Feel free to move or resize the blue text box to fit your content. 18
Weight (lb.)

5. Proportional vs. Non-Proportional
If two quantities are proportional, then they have a constant ratio.
To have a constant ratio means two quantities have the same unit rate.
If the ratio is not constant, the two quantities are said to be non-proportional.
So, the two quantities do not have the same unit rate.

6. Proportional Relationships
Will always go through the origin on a graph. (0,0)
Graph will always be a straight line.

7. In order to tell if a graph is proportional the line must go
through the origin.
Tell if the following graphs represent a
proportional relationships. No
Proportional ? _________
Yes
Proportional ? _________
Line does not
go through the origin
Why?
Why?
Line goes through the origin

8. Weight (lb.) Cost ($) (y) (x) 2 6 4 12 18 6 Weight (lb.)
LearnZillion Notes:
--The Core Lesson may take more than one slide. You can add as many of these slides as you like. Simply click on “New Slide” and then select the Core Lesson template slide to add a new one.
--Feel free to move or resize the blue text box to fit your content. 18
Is the weight of the egg salad proportional to the cost?
Weight (lb.)
Yes

9. Cost ($) (y) 2 11 1 5.50 Weight (lb.) 4 22
LearnZillion Notes:
--The “Guided Practice” should include 1 practice problem that targets the skill that was used in the Core Lesson. Use the same vocabulary and process you used in the original lesson to solve this problem. You’ll be making a video in which you solve this question using your tablet and pen, so all you need to do is write the question on this slide. 1
5.50
Weight (lb.) 4 22
Is the weight of the prime rib proportional to the cost?
Yes

10. State in words the proportional relationship shown here.
(There are many correct answers!)
2 feet per min
Time (min.)

11. You Try State in words the proportional relationship shown here.
(There are many correct answers!)
5oz for $2
Weight (ounces)

12. Since the simplified ratios were equal,
4/24/2017
You try: The following chart shows how much money Alex earns for mowing lawns. Is the amount of money he earns proportional to the number of hours that he spends mowing?
Earnings ($)
Hours (h)
Unit Rate ( ) 14 1 28 2 42 3 56 4
Since the simplified ratios were equal,
this was a proportional relationship.

13. Describe the graph of this proportional relationship. Hours worked
You try: Let’s graph this proportional relationship from Ex. 1 on an xy-plane.
We typically put time (hours) on the x-axis, and the earnings ($) on the y-axis.
Set up the graph paper to fit the data in the chart.
Plot points (x, y) from the table. y
Hours (h)
Earnings ($)
Point (x, y) 1 14
(1, 14) 2 28
(2, 28) 3 42
(3, 42) 4 56
(4, 56) 56 42
Earnings ($) 28 14
Connect the points. x 1 2 3 4 5
Describe the graph of this
proportional relationship.
Hours worked

14. The graph of a proportional relationship:
is a straight line, AND
it passes through the origin, or point (0,0).

15. Example 2: Ticket Express charges $7 per movie ticket plus a $3 processing fee per order. Is the cost of an order proportional to the number of tickets ordered? Explain .
Cost ($) 10 17 24 31
Tickets Ordered 1 2 3 4
Since all of the simplified ratios are not equal, there is no constant ratio, so this is NOT a proportional relationship.

16. Now, let’s graph this nonproportional relationship from Ex. 2.
It passes through the origin,
but it is not a straight line.
Tickets ordered will be on the x-axis,
and the cost ($) will be on the y-axis. y
Plot points (x, y) from the table. 32
Tickets
Earnings ($)
Point (x, y)
(0,0) 1 10
(1, 10) 2 17
(2, 17) 3 24
(3, 24) 4 31
(4, 31) 28 24
Cost ($) 20 16 12 8 4
Connect the points. x
Describe the graph of this
nonproportional relationship. 1 2 3 4
Tickets ordered

17. Practice:
Graphing Worksheet