Ratios and Proportions
Proportional Relationships in Graphs
DRIVING QUESTION:
We will begin our lesson today by thinking about proportional relationships in graphs. Listen to the Voki below to review what we know about determining whether or not a graph demonstrates a proportional relationship.
Now that you have listened to the Voki explain how to determine whether or not a graph demonstrates a proportional relationship, put together the puzzle below to review this information one more time.
To view a clearer version of the puzzle image, hover your cursor over the blue text in the paragraph below. 
WARMUP . . .
Now, let's use our knowledge to determine whether or not each of the graphs below demonstrates a proportional relationship. Complete the warmup problems below with your Livescribe pen in your math notebook. Do not forget that you can listen to the Voki again or look at the information in the puzzle image if you need help remembering how to determine whether or not each of the graphs below demonstrates a proportional relationship.
1.) Is this graph proportional? 

ANSWER 
2.) Is this graph proportional? 

ANSWER 
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In order to create graphs that represent proportional relationships, we first need to review what we know about the coordinate plane. Hover your cursor over the coordinate plane image below to review some important facts about the coordinate plane.
So from the picture above we learned . . .
LET'S THINK . . .
Now, let's play The Billy Bug Game to make sure we know how to graph points in the coordinate plane.

BILLY BUG GAME
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So far, you have already thought about identifying the graphs of proportional relationships and the coordinate plane. Now, let's put those two things together and think about creating graphs that represent proportional relationships. Look at the real life proportional relationship and table below.




How do you think we could turn this table that represents a proportional relationship into a graph? Hover your cursor over the image below when you think you know the answer to this question.
In order to create a graph to illustrate this proportional relationship and table, we need to graph the ordered pairs in the table. Watch the Brainshark presentation below to learn more about how to illustrate proportional relationships in the form of graphs on the coordinate plane. Remember, you can click on the bottom right hand corner of the presentation below to view a full screen version of the presentation.
So, from the Brainshark presentation we learned . . .
Let's look at another example . . .
Create a graph to illustrate the proportional relationship below.

CREATING PROPORTIONAL GRAPHS PRACTICE 1
Create a graph to illustrate the proportional relationship below. Click on the Graph Paper Link if you would like to download a blank piece of graph paper to use in order to create your graph.
CHECK MY ANSWER
CREATING PROPORTIONAL GRAPHS PRACTICE 2
Create a graph to illustrate the proportional relationship below. Click on the Graph Paper Link if you would like to download a blank piece of graph paper to use in order to create your graph.
CHECK MY ANSWER
CREATING PROPORTIONAL GRAPHS PRACTICE 3
Create a graph to illustrate the proportional relationship below. Click on the Graph Paper Link if you would like to download a blank piece of graph paper to use in order to create your graph.
CHECK MY ANSWER
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Now that you know all about creating graphs to illustrate proportional relationships, let's create some graphs that illustrate the real life situations we created tables for in the Creating Proportional Tables lesson. Look at each of the real life situations and the corresponding tables below. Create a graph to illustrate each of these real life situations.




CHECK MY GRAPH




CHECK MY GRAPH




CHECK MY GRAPH




CHECK MY GRAPH
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Now we are experts at creating graphs that illustrate proportional relationships! Let's complete an assignment to show how much we have learned.
HAVE YOU COMPLETED EVERYTHING?
Can you answer this lesson's driving question?
Tasks to complete in this lesson:
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