OL STAAR Review: Proportional Reasoning

STAAR Review:

Proportional Reasoning

Fill in the Blank

Now solve for x.

Enter only the number below:

Fill in the Blank

Now solve for x.

Enter only the number below:

Fill in the Blank

Now solve for x.

Enter only the number below:

Tips for Solving Word Problems

• Write the given rate as a fraction

• Fill in the 3rd number - make sure to match up units!!

• Solve the proportion

• If it's multiple choice, you can estimate

Multiple Choice

Yvette used 6 grams of tea leaves to make 24 fluid ounces of tea. Last week, she made 288 fluid ounces of tea.

How many grams of tea leaves did Yvonne use to make tea last week?

• 0.5 grams

• 1,152 grams

• 72 grams

• 2 grams

Solution

• Set up the rate as a fraction

• Match up the units to fill in 3rd number

• Look for a relationship: There is one up-and-down (divide by 4)

• 288 divided by 4 = 72!

• Make sure your fractions seem reasonable!

Multiple Choice

Proportions can also be used for conversions!

The distance between two towns is 120 km.

There are approximately 8 kilometers in 5 miles.

Which measurement is closest to the distance between the towns in miles?

• 75 miles

• 3 miles

• 192 miles

• 117 miles

Solution

• Set up the rate as a fraction

• Match up the units

• Guess and check to find a relationship (or estimate!)

• Relationship is x 15, side-to-side

• 5 x 15 = 75

• Check fractions for reasonableness... both are bigger on top!

Last but not least...

Don't forget about

percent proportions!

Multiple Choice

Let's try a percent change question! Set it up, then solve.

The price of a TV was reduced from $250 to $200. By what percentage was the price of the TV reduced?

• 20%

• 25%

• 80%

• 50%

Solution

• Change = $50, NOT 50%! Be careful!

• Original = $250

• Set up proportion

• Relationship up-and-down = divide by 5

• 100 divided by 5 = 20%

Good work!

Now, join the class Blooket game

to practice what you learned!