1.5 - Graphing Proportional Relationships

1.5 - Graphing Proportional Relationships

Multiple Choice

VOCABULARY:

Many maps have grids like shown on the left to locate cities, locations, hidden treasure, etc.  What is the name of this grid that has two number lines meeting and intersecting at their zero points?

• Graph

• Map

• Coordinate Plan

• Number Line Graph

Multiple Choice

VOCABULARY:

The coordinate plane is split into four regions, labeled with Roman numerals. What can we call these four reqions?

• Quadrants

• Squares

• Grids

• Graph Boxes

Multiple Choice

An ordered paired, such as (1, 3) is used to locate points on a coordinate plane.  Which coordinated is listed first (where the 1 is)? The x-coordinate or y-coordinate?

• x-coordinate

• y-coordinate

Fill in the Blank

EXTRA CREDIT QUESTION OF THE DAY:

(if you help or give someone the answer, you do not get it)

What do we call the location where both the x-axis and y-axis meet on the coordinate plane (0, 0).

Open Ended

REVIEW:

The table shows the amount of money Xavier earns for being a clown at a local circus. Is the relationship between the total amount earned proportional to the number of hours? If so, what is the unit rate?

​Graphing Relationships

• ​We have learned that one way to test a proportional relationship is to see if the ratios/rates are equal (same unit rate)

• ​Another way is to graph the relationship on a coordinate plane

• ​If a relationship is proportional, what kind of line do you think it would make?

Fill in the Blank

What is the slowest mammal in the world?

​Tree Sloth

​The tree sloth is the slowest mammal on Earth. It moves at a rapid speed of 6 feet per minute. We need to create a graph to determine if there is a proportional relationship between the distance moved in feet to the amount of time it takes. What do we need first?

Multiple Choice

Using the table that we just made, is the relationship proportional?

• Yes

• No

Open Ended

The graph shows our data about the tree sloth. We have already discovered that the relationship is proportional. Examine at the graph. What are two characteristics that you can give me to determine if a graph is proportional?

​Earning Some Cash

You have been asked to babysit this upcoming weekend. They are offering you $5 per hour. ​Determine if the amount of money you earn is proportional to the number of hours you babysit. First, create a table to display how much you earn after 1, 2, 3, and 4 hours babysitting. Once you have your points, open to p. 46 and graph your data! Start to test the graph if it displays a proportional relationship.

Open Ended

BABYSITTING EXAMPLE (A.):

Did the graph you made display a proportional relationship? Why or why not? Type in your reasoning.

Video Game Rentals​

• ​Traveling back in time to the early 2000's, you decide to go to Blockbuster to rent some video games. Determine if the cost is proportional to the number of games rented.

Open Ended

Open your book to p. 47 and determine if the number of Calories burned by an athlete is proportional to the number of minutes a person works out. 

Multiple Choice

The table displays data on two different batting cages. Determine which batting cage shows a proportional relationship. Be ready to explain if you are called upon.

• Softball Plus

• Fun Center

• Neither

Open Ended

QUESTION OF THE DAY:

What two characteristics must be true about a graph to make a relationship proportional?