Proportional Relationships Review

Proportional Relationships Review

​Equivalent Ratios

​Where do you see equivalent ratios in scale drawings?

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• ​Corresponding Sides

• ​3/9 = 5/15 = 4/12

• ​How? If you divide/reduce, they all have the same answer (unit fraction)

Multiple Select

Which ratio(s) are equivalent to....4 cups white : 5 cups red?

• 3/4 cup white : 1 cup red

• 12 cups white : 15 cups red

• 3 cups white : 4 cups red

• 1 cup white : 1.25 cups red

​Proportional Relationships

​Which represent proportional relationships?

1. ​A person's height in feet and that person's height in inches

2. ​The number of cookies baked and the minutes in the oven

3. ​The grams of flour needed to make different amounts of bread

4. ​A person's time and total distance as they run a marathon

5. ​The gallons of gasoline purchased and the total cost.

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​Answer on next slide...

​Proportional Relationships

​Which represent proportional relationships?

1. ​A person's height in feet and that person's height in inches

2. ​The number of cookies baked and the minutes in the oven

3. ​The grams of flour needed to make different amounts of bread

4. ​A person's time and total distance as they run a marathon (only if the person runs at a constant speed the whole time)

5. ​The gallons of gasoline purchased and the total cost. (only if there are no other fees included)

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Fill in the Blanks

Complete the table so that the relationship is proportional

Fill in the Blanks

Complete the table so that the relationship is proportional

​Constant of Proportionality

Fill in the Blanks

What is the constant of proportionality in this relationship?

​Equations

Fill in the Blanks

Complete the table

Multiple Choice

Write an equation for the amount of snow (s) that has fallen after (h) hours.

• h=0.5s

• s=2h

• s=0.5h

• h=2s

​What are the two constants of proportionality for this situation?

• ​4 (times 4)

• ​1/4 (divided by 4)

Multiple Select

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed.  What are the two constant of proportionality for the relationship?

• 50

• 1/5

• 1/50

• 20

​Is it Proportional?

Multiple Select

Select all the proportional relationships

• $$180-x=y$$  

• $$y=x^8$$  

• $$1.08x=y$$  

• $$y=\frac{x}{8}$$  

• $$y=8x$$  

​Is it Proportional?

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?

1. ​Look at x=1 on the line to find what y equals...that is your constant.

2. ​Pick any clear point. Divide y by x.

Multiple Select

The relationship between the amount of water in the bucket and time is proportional.  

Select ALL of the true statements.

• After 20 seconds, there are 5 ounces of water in the bucket

• A constant of proportionality for this relationship is 4

• The point (1, 4) is on the graph of the line

• After 1 second, there are 4 ounces of water in the bucket

Multiple Choice

This graph shows the distance traveled over time by three different turtles.

Which line (turtle) is moving the slowest?

• $$d=2t$$  

• $$d=\frac{1}{2}t$$  

• d=1.25t