Lesson: Ratios Lesson Topic: Identify ratios
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1 Lesson: Ratios Lesson Topic: Identify ratios What is the ratio of the turtles to the total number of animals? 3:3 3:9 4:9 2:9 none of the above What is the ratio of the swans to the penguin? :1 What is the ratio of the goats to the total number of animals? (Write your answer using the a:b format. For example, 1:1.) What is the ratio of the woodpeckers to the swans?
2 :3 What is the ratio of the spider to the bees? 1:1 1:4 1:3 1:6 none of the above
3 Lesson Topic: Identify ratios word problems The school has three yellow buses and four green buses. What is the ratio of yellow buses to green buses? (Write your answer using the a:b format. For example, 1:1.) The school has three yellow buses and four green buses. What is the ratio of yellow buses to green buses? yellow buses : green buses The school has three yellow buses and four green buses. What is the ratio of green buses to total buses? (Write your answer using the a:b format. For example, 1:1.) The school has three yellow buses and four green buses. What is the ratio of yellow buses to green buses? 4 green buses, 3 yellow buses 3 yellow buses, 4 green buses 4 green buses : 3 yellow buses 3 yellow buses : 4 green buses The salad has 2 onions and 3 tomatoes. What is the ratio of onions to the total number of onions and tomatoes? (Write your answer using the a:b format. For example, 1:1.)
4 Lesson Topic: Identify equivalent ratios Which are equivalent ratios to 1:7? Check all that are true. 6:45 10:67 8:56 9:63 7:34 Which are equivalent ratios to 4:5? Check all that are true. 55:40 44:55 55:44 40:50 3:11 Which are equivalent ratios to 3:5? Check all that are true. 9:15 12:20 9:25 9:20
5 12:15 Which are equivalent ratios to 7:13? Check all that are true. 36:48 21:39 72:128 28:52 14:26 Which are equivalent ratios to 4:9? Check all that are true. 9:28 20:45 12:27 4:24 8:18
6 Lesson: Unit Rates Lesson Topic: Find the unit rate Find the unit rate. 48 cupcakes in 6 boxes = cupcakes per box Find the unit rate. 96 slices in 12 pizzas = slices per pizza Find the unit rate. 88 passengers in 8 buses = passengers per bus Find the unit rate. 34 apartments on 17 floors = apartments per floor Find the unit rate. 60 gallons in 10 minutes = gallons per minute
7 Lesson Topic: Calculate the rate of constant speed word problems A polar bear swims 390 meters at a constant rate in 150 seconds. What is the speed of the polar bear? m/s A car traveling at constant speed traveled miles in hours. What was the car's speed? miles per hour A jet moving at constant speed traveled 6,600 km in 3 hours. What was the speed of the jet? km/hr A Boston subway train traveling at constant speed traveled 10.1 miles in half an hour. What was the speed of the subway train? miles per hour In 2008, the world record for swimming the 50 meter freestyle event was seconds. Supposing the athlete swam at a constant rate, what was his speed? Round your answer to the nearest hundredth. m/s
8 Lesson Topic: Calculate the distance from constant speed word problems Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator? (Hint: Earth's circumference at the equator is equal to the distance that Earth rotates around the equator). km On average, a dolphin swims at a speed of 8 km per hour for about 15 hours per day. What distance does a dolphin travel per day? km The record time for running the Boston Marathon is 2.12 hours at an average speed of 12.5 miles per hour. What distance does the Boston Marathon approximately cover? miles A school bus traveled at an average speed of 35 miles per hour for 45 minutes. What distance did the bus travel? miles A car traveled on the highway at 65 miles per hour for 45 minutes. What distance did the car travel? miles
9 Lesson Topic: Calculate the time from constant speed word problems A cockroach traveling 2 feet per second takes how long to scurry a distance of 46 feet? seconds How long will it take a passenger train traveling at 160 miles per hour to travel from Denver, Colorado to Lincoln, Nebraska? The distance between the two cities is 488 miles. hours and minutes You walked 2 15 miles from your chemistry class to your economics class at a constant speed of 0.8 miles per hour. How long did this take you? minutes You jogged 11 kilometers at an average speed of 10 kilometers per hour. How long did you jog? hour and minutes Dominique drove home from work at an average speed of 36 miles per hour. If the distance from her house to her workplace is 5.4 miles, how long did her commute take? minutes
10 Correct Answers Lesson: Ratios Lesson Topic: Identify ratios MC2 3:1 2:9 4:3 MC5 Lesson Topic: Identify ratios word problems 3:4 3 yellow buses : 4 green buses 4:7 MC4 2:5 Lesson Topic: Identify equivalent ratios MC3 MC4 MC2 MC4 MC1 MC2 MC2 MC4 MC5 MC2 MC3 MC5 Lesson: Unit Rates Lesson Topic: Find the unit rate
11 48 6 = 8 cupcakes per box = 8 slices per pizza 88 8 = 11 passengers per bus = 2 apartments per floor = 6 gallons per minute Lesson Topic: Calculate the rate of constant speed word problems 390 m 150 s = 2.6 m/s mi hr = 75 mph 6,600 km 3 hr = 2,200 km/hr 10.1 mi 0.5 hr = 20.2 mph 50 m s = 2.34 m/s Lesson Topic: Calculate the distance from constant speed word problems 24 x 1,670 = 40,080 km 8 x 15 = 120 km 2.12 x 12.5 = 26.5 miles 45 minutes = 0.75 hour 0.75 hour x 35 miles per hour = miles 45 min = 0.75 hr 65 x 0.75 = miles Lesson Topic: Calculate the time from constant speed word problems 46 2 = 23 seconds = 3.05 hrs = 3 hours and 3 minutes
12 = 1 6 hr = 10 minutes = 1.1 hrs = 1 hour and 6 minutes = 0.15 hr = 9 minutes
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