➕ 6th Grade Math · Unit 3

Unit Rates and Percentages

14 short narrated lessons in 3 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 6.RP.A.2 6.RP.A.3

Picture from the lesson “What Is a Unit Rate?”
What Is a Unit Rate?
Picture from the lesson “Best Buy with Unit Price”
Best Buy with Unit Price
Picture from the lesson “Constant Speed”
Constant Speed

What your child will learn

Unit rates

  1. What Is a Unit Rate?Find a unit rate, the amount for one of something, like miles per hour or cost per item.
  2. Best Buy with Unit PriceCompare the unit prices of two sizes of the same product to find the better deal.
  3. Constant SpeedSolve problems about constant speed using distance, time and unit rates.
  4. Unit Rates Review ReviewReview finding and using unit rates.

Converting units with ratios

  1. Conversion RatesUse a conversion rate like twelve inches per foot as a ratio to change units.
  2. Converting with Ratio TablesConvert between units in the same system using a ratio table or double number line.
  3. Converting Between SystemsConvert between customary and metric units, like inches and centimeters, with a given rate.
  4. Converting Units with Ratios: Review ReviewReview converting measurement units with ratio reasoning.

Percentages

  1. What Is a Percent?Explain a percent as a rate per one hundred, like thirty percent meaning thirty out of one hundred.
  2. Percents as Fractions and DecimalsWrite a percent as a fraction and as a decimal, and link benchmark percents like twenty-five percent to one fourth.
  3. Finding a Percent of a NumberFind a percent of a quantity, like twenty percent of forty-five dollars, using a double number line or tape diagram.
  4. Finding the Whole from a PercentFind the whole when a part and its percent are known, like fifteen being thirty percent of what number.
  5. Percentages Review ReviewReview what percent means and how to solve percent problems.
  6. Unit 3 test: Unit Rates and PercentagesShow what you learned in the whole unit (Unit rates, Converting units with ratios, Percentages) by answering mixed questions.

Try a question from this unit

From the lesson “What Is a Unit Rate?”

A teenage girl jumps rope 150 times in 2 minutes at a steady pace. What is her unit rate in jumps per minute?

  • 75 jumps per minute
  • 300 jumps per minute
  • 148 jumps per minute
  • 152 jumps per minute
Show the answer

75 jumps per minute. Sharing 150 jumps equally over 2 minutes gives 75 jumps in each minute. The answer 300 multiplies instead of dividing, and 300 jumps would take her 4 minutes, not 1.

Hint kids see after a wrong try: “Per minute means for each single minute. Share the jumps equally among the minutes.”

Key words

  • unit rate
  • per
  • unit price
  • speed
  • constant
  • conversion
  • rate
  • ratio table
  • metric
  • customary
  • percent
  • per hundred
  • benchmark percent
  • percent of
  • whole
  • part

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