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

Lesson 3.83.8 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target With my small group, I can solve real-world problems by using unit rates to compare options — one step at a time, with support.

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

How it worksWorked example

These numbers are not on your problems. The steps are. Follow them with your own numbers.

Fun Supply Co. sells 500 tokens for $60. What is the cost for 1 token?

  1. Write the deal in the table: 500 tokens : $60
  2. Divide both numbers by 5: 500 ÷ 5 = 100; $60 ÷ 5 = $12
  3. Divide both numbers by 100: 100 ÷ 100 = 1; $12 ÷ 100 = $0.12
  4. Write the unit rate: $0.12 per token
  5. The deal costs $0.12 per token.

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

Arcade Depot sells 350 tokens for $38.50. Fun Supply Co. charges $0.12 per token. Which store is the better buy?

Answer:

Say it and write itSentence starters

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

  • I find the better buy by comparing the for each option. The option with the unit rate is the better buy because .

Word bank Unit RateBetter BuyComparisonPer UnitRateProportionunit ratelowerdividecostpercompare

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 Small Group · Group 1

Group 1Supported practice

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

Learning target With my small group, I can solve real-world problems by using unit rates to compare options — one step at a time, with support.

  1. 1Complete each step, then write the final answer.
    Tickets4001Cost ($)$36?÷ ?÷ ?
    Scale the deal down to 1 ticket.

    Game Town sells 400 tickets for $36. What is the cost for 1 ticket?

    1. 1Write the deal in the first column.
    2. 2What do you divide 400 by to get 1 ticket?
    3. 3Divide $36 by the same number. What is the cost for 1 ticket?
    Final answer:
  2. 2Complete each step, then write the final answer.
    Store A boxes41Store A cost ($)$3?Store B boxes61Store B cost ($)$4.20?÷ ?÷ ?
    Scale each deal down to 1 box.

    Store A sells 4 juice boxes for $3. Store B sells 6 juice boxes for $4.20. Which store is the better buy?

    1. 1Write both deals in the table.
    2. 2Divide Store A's numbers by 4. What does 1 box cost?
    3. 3Divide Store B's numbers by 6. What does 1 box cost?
    4. 4Which store has the lower cost for 1 box?
    Final answer:
  3. 3Complete each step, then write the final answer.
    PensCost ($)________________

    5 pens cost $4. What is the cost for 1 pen?

    Show your work

    Hint Divide the price by the number of pens.

    Final answer:
  4. 4Complete each step, then write the final answer.
    TokensCost ($)________________

    Game World sells 250 tokens for $35. What is the cost for 1 token?

    Show your work

    Hint Divide both numbers by 250 to reach 1. Do it to the cost too.

    Final answer:
  5. 5Complete each step, then write the final answer.
    Bag A ouncesBag A cost ($)Bag B ouncesBag B cost ($)________________

    Bag A has 12 ounces of chips for $3. Bag B has 20 ounces of chips for $4.40. Which bag costs less per ounce?

    Show your work

    Hint Find the cost for 1 ounce in each bag. Then compare.

    Final answer:
  6. 6Complete each step, then write the final answer.
    Deal 1 shirtsDeal 1 cost ($)Deal 2 shirtsDeal 2 cost ($)________________

    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

    Hint Find the cost for 1 shirt in each deal before you compare.

    Final answer:

Explain your thinkingJada compared $24 and $35. Why is the cost for 1 shirt a fairer way to compare the two deals?

Sentence starter The cost for 1 shirt is fairer because ___. · The better buy is ___ because ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help