Unit Conversion and Dimensional Analysis

The video tutorial covers the concept of unit rates and dimensional analysis, explaining how to convert unit rates using unit ratios. It provides examples and practice problems, such as converting feet per second to inches per second and miles per hour to feet per hour. The tutorial emphasizes the importance of including units in computations and demonstrates the process of cross-canceling units to simplify conversions.

What is a unit rate?

• A rate that is simplified so that it has a denominator of one

• A rate that compares two different units

• A rate that is used only in metric conversions

• A rate that is always greater than one

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CCSS.7.EE.B.3

What is dimensional analysis?

• The process of measuring dimensions of objects

• The process of converting units to decimals

• The process of including units of measurement when you compute

• The process of simplifying fractions

Tags

CCSS.5.MD.A.1

Which of the following is a correct unit ratio?

• 16 oz / 1 lb

• All of the above

• 100 cm / 1 m

• 12 in / 1 ft

Tags

CCSS.4.MD.A.1

How many feet are in a mile?

• 10,000 ft

• 3,280 ft

• 1,000 ft

• 5,280 ft

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CCSS.6.RP.A.3D

What is the first step in converting 10 feet per second to inches per second?

• Divide by 12

• Convert feet to meters

• Write the speed as a unit ratio

• Multiply by 12

Tags

CCSS.6.RP.A.3D

In the conversion of 10 feet per second to inches per second, what unit ratio is used?

• 12 in / 1 ft

• 10 ft / 1 in

• 1 in / 12 ft

• 1 ft / 12 in

Tags

CCSS.4.MD.A.1

What is the final result of converting 10 feet per second to inches per second?

• 100 in/second

• 200 in/second

• 120 in/second

• 150 in/second

Tags

CCSS.6.RP.A.3D

How many feet per hour is equivalent to 60 miles per hour?

• 316,800 ft/hour

• 31,680 ft/hour

• 528,000 ft/hour

• 600,000 ft/hour

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CCSS.4.MD.A.1

What intermediate units are used to convert 7 feet per second to feet per hour?

• Minutes and hours

• Minutes and days

• Seconds and minutes

• Hours and days

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CCSS.6.RP.A.3D

What is the final result of converting 7 feet per second to feet per hour?

• 40,000 ft/hour

• 30,000 ft/hour

• 25,200 ft/hour

• 35,000 ft/hour

Tags

CCSS.6.RP.A.3D