Ratios

To make the batch of To make the batch of trail mix, how many trail mix, how many scoops of raisins scoops of raisins

should you use for should you use for every 1 scoop of every 1 scoop of

peanuts? Explain peanuts? Explain your reasoning.your reasoning.

Warm-UpThe diagram shows a batch of trail mix that is made

using 3 scoops of raisins and 6 scoops of peanuts.

6

+=

Ratio

A ratio is a comparison of two numbers or quantities by division.

Una razón es una comparación de dos números o cantidades por división.

If a batch of trail mix contains 3 scoops of raisins and 6 scoops of peanuts, the ratio comparing raisins to peanuts can be written as follows.

3 to 6 3:6 3/6

Record the definition in your math journal on page R.

Pattern Blocks and RatiosUsing your pattern blocks, complete the following

questions.

Let’s Talk About Your Activity

What were you comparing when you created your

ratios?

What was the most difficult ratio to

create?What made it so

challenging?

Based on the activity, formulate your own

definition of what a ratio is and record it in your

math journal.

RatioSince a ratio can be written as a fraction, it can be simplified.

3/6 = 1/2

Write Ratios in Simplest FormExpress each ratio in simplest form.

8 Siamese cats out of 28 cats

8 cats

28 cats

The ratio of Siamese Cats to cats is 2/7

or 2 out of 7.

22

77

Express the ratio in simplest form.

Example Problems

16 pepperoni pizzas out of 24 pizzas.

Ratio UnitsWhen writing ratios that compare quantities with the same kinds of units, convert so that they have the same unit.

For example:

1 pound = _______ ounces

1 foot = _______ inches

1 yard = _______ feet

1 cup = _______ ounces

Express each ratio in simplest form.

10 ounces of butter to 1 pound of flour

10 ounces

1 pound

The ratio of butter to flour in simplest form is 5/8 or 5:8.

Write Ratios in Simplest Form

10 ounces10 ounces

16 ounces16 ounces

5 ounces5 ounces

8 ounces8 ounces

Express the ratio in simplest form.

30 minutes of commercials to 2 hours of programming.

Express the ratio in simplest form.

6 inches of water for 7 feet of snow

Express the ratio in simplest form.

3 quarts of soda : 1 gallon of juice

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Activity 1:

Biking Questions