Ratios and Rates

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

Rates and Unit Rates (if you have a particular question move yourself to the breakout room) Rate A ratio that compares two quantities with different kinds of units Examples: –195 miles in 3 hours –132 texts in 4 days –$95 in 5 hours Unit Rate A rate that is simplified so that it has a denominator of 1 unit Examples: –65 miles per (one) hour –33 texts per (one) day –$19 per (one) hour

Ratios and Rates If you have a particular question move yourself to the breakout room rate – a ratio that compares different kinds of units by division to obtain a unit rate or rate per unit.

Find the Unit Rate Mary drove 180 km in 3 hours. How far did she drive in 1 hour? A.9 km B.6 km C.150 km D.Answer not given

Find the Unit Rate (if you have a particular question move yourself to the breakout room I purchased hot dogs for my son’s baseball team. I paid $54 for hot dogs for 18 players. How much did each hot dog cost me? A.$4 each B.$5 each C.$3 each D.$36 each

If you have a particular question move yourself to the breakout room Find the unit rate: 160 words typed in 4 minutes A.40 wpm B.120 wpm C.30 wpm D.Answer not given

If you have a particular question move yourself to the breakout room Find the unit rate: $27.40 for 4 hours of work A.$5.75 per hour B.$6.85 per hour C for 2 hours D.Answer not given Find the unit rate: $12.66 for 8 pkgs of juice boxes A. $1.58 per pkg B. $1.59 per pkg C. $4.66 per pkg D. $1.25 per pkg

If you have a particular question move yourself to the breakout room The price for 12 shirts is $90. Which of the following represents the same price per shirt? A. 15 shirts for $120A. 15 shirts for $120 B. 9 shirts for $69.75B. 9 shirts for $69.75 C. 19 shirts for $142.50C. 19 shirts for $ D. 10 shirts for $72.50D. 10 shirts for $72.50

If you have a particular question move yourself to the breakout room Adrienne biked 22 miles in 4 hours. If she bikes at the same rate, how far can she bike in 7 hours? A miles B miles C miles D miles

If you have a particular question move yourself to the breakout room The table shows the cost of calculators. How much does it cost to purchase 11 calculators ? A B C D Number of Calculators Purchased Total Price 2$ $ $ $78.00

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 and Rates Ratios can be written in several different ways. 3 to 1 3 : 1 3/13/1 red to white

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 Compare octagon to all shapes 1 to 8 1 out of 8 1 : 8 1/81/8

Ratios and Rates Compare all shapes to trapezoid 8 to 18 : 1 8/18/1

Ratios and Rates Compare pentagons to hexagons 2 to 32 : 32 : 3 2/32/3

Ratios and Rates Give each ratio in three forms. 8 roses out of 24 flowers 8 to 248 : 24 3 dogs out of 12 animals 3 to 123 : 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 =

Ratios and Rates To express a ratio as a rate per unit, write the ratio as a fraction and then divide the numerator by the denominator. 395 miles in 5 hours = 79 miles per hour miles hours miles hours

Ratios and Rates Express each ratio as a rate. 5 inches of rain in 30 days = inch of rain per day 120 words in 3 minutes = 40 words per minute words per minute ÷ 5