Ratios & Rates

Ratios & Rates

​

• A ratio is a comparison of two quantities of numbers a and b, where b does not equal 0.

• Ratios can be written in three ways:

  • a to b

  • a : b

  • a / b

Ratios

​Example...

​To scale the ratio by 2, you must multiply each part of the ratio by 2.

• Ratios that name the same comparison are said to be equivalent.

• A statement that two ratios are equivalent are called proportions.

• Ratios can be scaled up by multiplication and scaled down by division.

Equivalent Ratios

Simplified Ratio =

​Scaling Down - Simplifying

The ratio of orange to purple is 4 to 6.

Scale down by simplifying.

​

​

​Let's do #3 together.

Match

Check your answers to questions 4-8.

• 3/8

• 1/4

• 1/15

• 2/5

• 8/1

Question 4

as a fraction.

Question 5

as a fraction.

Question 6

as a fraction.

Question 7

as a fraction.

Question 8

as a fraction.

• Question 4

  as a fraction.

• Question 5

  as a fraction.

• Question 6

  as a fraction.

• Question 7

  as a fraction.

• Question 8

  as a fraction.

​Scale Down







or Cross Multiply

​

Fill in the Blanks

Open Ended

This question will not be graded by the computer. Make sure you type out 2 equivalent ratios.

Multiple Choice

Select your answer.

Be sure to explain your reasoning on your paper copy.

• 4:10

• 2:5

• 3:5

• 6:15

​

Rates

​Use division to turn a rate into a UNIT Rate.
Top divided by Bottom

​Work these out and check your answers on the next slide.

​

Match

Check your answers to questions 13-15.

• $15.50

• $0.80

• $0.08

Question 13

Question 14

Question 15

• Question 13

• Question 14

• Question 15

Which is the
Better Buy?

​

Which is the
Better Buy?

​$2.99 per gal

​$7.20 per gal

​$4.20 per gal

​$4.25 per gal

​Better Deal

Cheaper Price per Unit

​=

​

​You try...

Drag and Drop

​ Which options were the better buys for questions 16-18? ​

Placeholder

​

Placeholder

​

Placeholder

Drag these tiles and drop them in the correct blank above

$7.50 for 6 muffins

$6.28 for a 4 pack of pens

$11.29 for 40 ounces

$9.60 for 8 muffins

$4.65 for a 3 pack of pens

$4.75 for 18 ounces

Multiple Choice

Max is buying bottles of juice for his class party.  A pack of 12 bottles of juice costs $3.96.  Which expression could Max use to determine the cost of 1 bottle of juice?

• 3.96 ÷ 12

• 3.96 × 12

• 12 ÷ 3.96

• 12 × 3.96

Multiple Choice

Juilie earned $18 for working 2.25 hours yesterday.  How much did she earn per hour yesterday?

• • $9.00 per hour

• $8.00 per hour

• • $9.25 per hour

• • $12.50 per hour