Exploring Rates, Ratios, and Conversions

The video tutorial covers the concepts of rates, ratios, and conversions. It begins with an introduction to ratios and solving rate problems, such as calculating the time for a tank to travel a certain distance. It then addresses a similar problem involving a sparrow's flight. The tutorial proceeds to explain conversion rates, demonstrating how to convert units like minutes to hours and feet to inches. It includes practical examples, such as converting the height of the CN Tower from feet to meters and determining a runner's speed in miles per hour. The video emphasizes the importance of setting up proportions and using conversion factors correctly.

What is the definition of a ratio?

• A comparison of two numbers by addition

• A comparison of two numbers by multiplication

• A comparison of two numbers by subtraction

• A comparison of two numbers by division

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CCSS.6.RP.A.3B

If a tank travels 25 miles in 60 minutes, how long will it take to travel 150 miles?

• 420 minutes

• 400 minutes

• 300 minutes

• 360 minutes

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CCSS.4.MD.A.1

How many minutes are there in two hours?

• 150 minutes

• 120 minutes

• 90 minutes

• 60 minutes

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CCSS.6.RP.A.3B

A sparrow flies 12 miles in 35 minutes. How far will it fly in 120 minutes?

• 43.14 miles

• 42.14 miles

• 40.14 miles

• 41.14 miles

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CCSS.4.MD.A.1

How many minutes are there in one hour?

• 30 minutes

• 45 minutes

• 60 minutes

• 90 minutes

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CCSS.6.RP.A.3D

Convert 330 minutes to hours.

• 5 hours

• 4.5 hours

• 5.5 hours

• 6 hours

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CCSS.5.MD.A.1

CCSS.4.MD.A.1

How many inches are there in 5 feet 3 inches?

• 66 inches

• 69 inches

• 63 inches

• 60 inches

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CCSS.2.MD.A.2

If the CN Tower is 1815 feet tall, approximately how many meters tall is it?

• 553.35 meters

• 583.35 meters

• 573.35 meters

• 563.35 meters

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CCSS.4.MD.A.1

How many feet are there in one mile?

• 6000 feet

• 5500 feet

• 5000 feet

• 5280 feet

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CCSS.6.RP.A.3B

A runner ran 150 feet in 5.8 seconds. What was his speed in miles per hour?

• 16.39 miles per hour

• 17.39 miles per hour

• 18.39 miles per hour

• 15.39 miles per hour

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CCSS.6.RP.A.3B