MGSE6.RP.3b Unit Pricing and Constant Speed

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​Standard: MGSE6.RP.3b

Solve unit rate problems including those involving unit pricing and constant speed.

6th Grade | Math

MGSE6.RP.3b​

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​Learning Target

​I can use unit rates, unit prices and constant speed to solve problems.

6th Grade | Math

MGSE6.RP.3b​

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​Vocabulary

​Proportion: An equation that states that two ratios are equal.

Rate: A comparison of two quantities that have different units of measure​

Ratio: compares quantities that share a fixed, multiplicative relationship.​

Unit Ratio: are ratios written as some number to 1.​

Subject | Subject

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​Essential Questions

What are rates?

How are unit rates helpful in solving real-world problems?​

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Unit Rate Intro

A rate compares two quantities with different units.

Driving 120 miles in 2 hours

The units are miles & hours

Multiple Choice

Traveling 50 miles in 30 minutes is an example of a

• cost

• quotient

• product

• rate

A unit rate is a rate that is simplified so that it has a denominator of 1 unit.

Driving 60 miles in 1 hour or 60 miles/1 hour.

Multiple Choice

Which is an example of a unit rate?

• 70 miles/2 hours

• 35 miles/1 hour

• 100 miles/3 hours

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To get the unit rate, divide the numerator by the denominator.

Multiple Choice

A car traveled 270 miles in 6 hours. (270 miles/6 hours). What is the unit rate (miles per hour)?

• 35 mph

• 45 mph

• 55 mph

• 22 mph

Multiple Choice

Mary can type 225 words in 3 minutes. What is the unit rate in words per minute?

• 60 wpm

• 75 wpm

• 133 wpm

• 85 wpm

Multiple Choice

Marissa made $300 working for 6 hours. How much does Marissa make per hour?

• $50 per hour

• $60 per hour

• $45 per hour

• $30 per hour