Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.2

Lesson 3.83.8 · Part II

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can solve real-world problems by using unit rates to compare options.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
Unit RateSpanish: Tasa unitaria A rate for just 1 of something, like cost for 1 item. $2.50 per pound means $2.50 for every 1 pound
Better BuySpanish: Mejor compra The choice that costs less for each item. $0.10 each vs $0.15 each — the $0.10 option is the better buy
ComparisonSpanish: Comparación Looking at two or more amounts to see how they are related. $3 per game < $4 per game
Per UnitSpanish: Por unidad For each single item. $0.50 per token means each token costs $0.50
RateSpanish: Tasa A ratio comparing two amounts with different units, like miles per hour. 120 miles in 3 hours is a rate (miles and hours are different units)
ProportionSpanish: Proporción A math sentence saying two ratios are equal. It helps find a missing number. 5/3 = x/12 → x = 20

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

Word bank Unit RateBetter BuyComparisonPer UnitRateProportion

Watch outA common mistake

A common mistake in Solve Problems with Unit Rates is comparing the total prices instead of the cost per item — the deal with the smaller total can still cost more per unit. Always reduce each option to its unit rate before you decide, then pick the lower one.

Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.2

Lesson 3.83.8 · Part II

Apply Day · Version ASupported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can solve real-world problems by using unit rates to compare options.

  1. 1Complete each step, then write the final answer.
    Apples61Cost ($)$3?÷ ?÷ ?

    6 apples cost $3. What is the cost for 1 apple?

    Show your work

    Hint Divide the price by the number of apples: $3 ÷ 6.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Shop A pens21Shop A cost ($)$3?Shop B pens51Shop B cost ($)$6?÷ ?÷ ?

    Shop A sells 2 pens for $3. Shop B sells 5 pens for $6. Which shop has the lower cost for 1 pen?

    Show your work

    Hint Find the cost for 1 pen at each shop. Then compare.

    Final answer:
  3. 3Complete each step, then write the final answer.
    Tokens101Cost ($)$2?÷ ?÷ ?

    A pack of 10 tokens costs $2. What is the cost for 1 token?

    Show your work

    Hint Divide the price by the number of tokens: $2 ÷ 10.

    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.2

Lesson 3.83.8 · Part II

Apply Day · Version BCore practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can solve real-world problems by using unit rates to compare options.

  1. 1Complete each step, then write the final answer.
    Deal 1 shirts31Deal 1 cost ($)$24?Deal 2 shirts51Deal 2 cost ($)$35?÷ ?÷ ?

    Jada says 3 shirts for $24 is a better buy than 5 shirts for $35, because $24 is less. Is she right? What is the lower cost for 1 shirt?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Bottles151Cost ($)$4.50?÷ ?÷ ?

    A 15-pack of water bottles costs $4.50. What is the cost for 1 bottle?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Markers81Cost ($)$6?÷ ?÷ ?

    A pack of 8 markers costs $6. What is the cost for 1 marker?

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.2

Lesson 3.83.8 · Part II

Apply Day · ChallengeExtension

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can solve real-world problems by using unit rates to compare options.

  1. 1Circle the letter of the best answer. Show how you know.

    A store sells 8 notebooks for $20. At the same unit price, what is the cost of 14 notebooks?

    1. A$26.00
    2. B$28.00
    3. C$35.00
    4. D$40.00
    Show your work
  2. 2Complete each step, then write the final answer.
    Tray A people41Tray A cost ($)$12?Tray B people61Tray B cost ($)$21?÷ ?÷ ?

    Tray A costs $12 and feeds 4 people. Tray B costs $21 and feeds 6 people. Tom says Tray B is the better deal because it feeds more people. What is the lower cost per person?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Batteries241Cost ($)$15.60?÷ ?÷ ?

    A 24-pack of batteries costs $15.60. What is the cost for 1 battery?

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help