Ratios & Rates

Ratios & Rates

ILT Review

​Ratios

• ​Ratios compare the amounts of two different quantities

• ​You can write part - to - part ratios to compare one part of the group to another part of the group

• ​You can create part - to - total ratios to compare one part of the group to the whole group

Draw

Draw a 4 to 3 ratio:

Multiple Choice

What is the ratio of apples to pineapples?

• 6 : 8

• 8 to 6

• $$\frac{7}{6}$$  

• 4 : 8

Multiple Choice

What is the ratio of oranges to all fruit?

• 8 : 18

• 18 to 4

• $$\frac{4}{18}$$  

• 6 to 18

Simplifing ​Ratios

• Like fractions, ratios can be simplified by dividing both values by a common factor.

• ​The ratio of apples to orange is 8 : 4.

  • ​What can we divide both 8 and 4 by?

Multiple Choice

What is the simplified ratio of pineables to oranges?

• 6 : 4

• 12 to 8

• $$\frac{2}{3}$$  

• 3 : 2

Multiple Choice

What is the simplified ratio of pineapples to all fruit?

• 18 to 6

• $$\frac{3}{9}$$  

• 1 : 3

• 6 to 18

​Equivalent Ratios

Multiple Choice

What is an equivalent ratio?

• Two or more ratios with the same values
• Two or more ratios that have different values
• Two or more ratios that equal 1
• Two or more ratios that have a denominator of 1

Multiple Choice

Which ratio is equivalent to 5 to 4

• 25 to 20
• 10 to 12
• 4 to 5
• 15 to 8

Multiple Choice

Which ratio is equivalent to 12:20

• 20:12
• 2:3
• 3:5
• 3:10

Multiple Select

Select ALL the ratios that are equivalent to 16 : 6

• 3 to 8

• 32 : 12

• 4 to 2

• 8 to 3

Multiple Choice

A cookie recipe calls for 2 eggs and 3 cups of flour. How much flour and how many eggs are needed to make 3 batches?

• 6 eggs and 9 cups of flour

• 6 cups of flour and 9 eggs

• 8 eggs and 12 cups of flour

• 12 eggs and 8 cups of flour

Ratio Tables

• Ratio tables are used to organize multiple equivalent ratios.

• ​You can fill in the blanks of a ratio table by multiplying and dividing complete ratios by the same number

Fill in the Blanks

1 roll of Life Savers comes with 14 pieces of candy. Use this information to complete the ratio table.

How many Lifesavers are there if there are 3 rolls?

Fill in the Blanks

1 roll of Life Savers comes with 14 pieces of candy. Use this information to complete the ratio table.

How many rolls are there if there are 56 Lifesavers?

Fill in the Blanks

1 roll of Life Savers comes with 14 pieces of candy. Use this information to complete the ratio table.

How many Lifesavers are there if there are 8 rolls?

Fill in the Blanks

1 roll of Life Savers comes with 14 pieces of candy. Use this information to complete the ratio table.

How many rolls are there if there are 140 Lifesavers?

Ratio Double Number Line

• Double number lines are also used to organize multiple equivalent ratios.

• ​You can fill in the blanks of a ratio table by multiplying and dividing complete ratios by the same number

Multiple Choice

If you use 9 cups of raisins, how many loaves of bread can you make?

• 4

• 5

• 6

• 7

Multiple Choice

How long would it take 12 people to go down the slide?

• 1 min
• 2 min
• 3 min
• undeterminable

Rates and Unit Rates

• Rates are specialized ratios that compare quanities that are measured in different units

• ​A unit rate is a rate that shows the amount per one.

• ​Unit rates can also be referred to as unit speed or unit price.

Multiple Choice

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

• $8 per pound
• $5 per pound
• $35 per pound
• 0.125 pounds per dollar

Multiple Choice

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

• 102 words per minute
• 100 words per minute
• 400 words per minute
• 412 words per minute

Multiple Choice

A sixth-grade math teacher can grade 25 homework assignments in 20 minutes. Is he working at a faster rate or slower rate than grading 36 homework assignments in 30 minutes?

• Slower rate
• Faster rate
• He didn't grade them
• Everyone got 100

Multiple Choice

Four pounds of bananas cost $6.  What is the cost per pound of bananas?

• $24 per pound
• $1.50 per pound
• $1 per pound
• $6 per pound

Multiple Choice

Which is the "better buy"?  A 12 ounce can of corn for $1.92 of  a 20 ounce can of corn for $3.00?

• They are the same
• The  20 ounce can
• The 12 ounce can