Ratios and Rates ratio a comparison of two

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. 13. 70 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 $120 • B. 9 shirts for $69. 75 • C. 19 shirts for $142. 50 • D. 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. 36. 5 miles B. 38. 5 miles C. 41. 5 miles D. 43. 5 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. 98. 50 B. 93. 50 C. 107. 25 D. 102. 15 Number of Calculators Purchased Total Price 2 $19. 50 4 $39. 00 6 $58. 50 8 $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. 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 Compare octagon to all shapes 1 out of 8 1 to 8 1: 8 1/8

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

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

Ratios and Rates Give each ratio in three forms. 8 roses out of 24 flowers 8 to 24 8 : 24 3 dogs out of 12 animals 3 to 12 3 : 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 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 miles = hours miles 79 miles hours per hour

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