MATH 7 Ms. Harrison September 2017 RATIOS AND UNIT RATE MATH 7 Ms. Harrison September 2017

Ratios and Unit Rate What is a ratio? What is a unit? What do we mean by Unit Rate?

Ratios and Rates ratio – a comparison of two numbers by division written in several different forms.

Ratios and Rates rate – a ratio that compares different kinds of units by division to obtain a unit rate.

Ratios and Rates The order of the numbers in a ratio should match the order of the words in a ratio. apples to oranges 2 to 3

Ratios can be written in several different ways. Ratios and Rates Ratios can be written in several different ways. red to white 3 to 1 3 : 1 3/1

Ratios and Rates Ratios can show comparisons between: part to part red to green 1 to 2 green to red 2 to 1

Ratios and Rates Ratios can show comparisons between: part to whole red to whole 1 to 3 green to whole 2 to 3

Ratios and Rates Ratios can show comparisons between: whole to part whole to red 3 to 1 whole to green 3 to 2

Ratios and Rates Give each ratio in three forms. roses out of 24 flowers 7 to 24 7 : 24 4 dogs out of 12 animals 4 to 12 4 : 12

Ratios and Rates A ratio in fraction form can be expressed in simplest form by dividing the numerator and denominator by a common factor. ÷ 8 ÷ 3 = = ÷ 8 ÷ 3

Ratios and Rates miles miles 132 miles per hour = hours hours To express a ratio as a rate per unit, write the ratio as a fraction and then divide the numerator by the denominator. An airplane can travel 396 miles in 3 hours. What is the rate PER hour? miles miles 132 miles per hour = hours hours

Ratios and Rates Try it! Find the Unit Rate 5 inches of rain in 2 days = __ inches of rain per day 120 words in 3 minutes words = per minute