Grade 6 Mathematics · Unit 4: Understand and Use PercentagesStandard 6.AT.2

Lesson 3.83.8 · 3.10 · 4.4 · 4.5 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 3.8 · 3.10 · 4.4 · 4.5 by using each lesson's big idea in mixed practice.

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.

Lesson 3.8 — Solve Problems with Unit Rates: Divide the price by the number of items to get the cost per unit. The lower cost per unit is the better buy.

  1. Lesson 3.10 — Convert Measurement Units: Multiply when changing to a smaller unit, and divide when changing to a bigger unit.
  2. Lesson 4.4 — Find and Compare with Percentages: Write the percent as a decimal (move the point 2 places left), then multiply it by the base: part = percent × base.
  3. Lesson 4.5 — Determine the Whole Given the Part and Percent: Percent × whole = part. When the whole is unknown, divide the part by the percent in decimal form: whole = part ÷ decimal.

Now you trySame steps, your turn

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

From 3.8: Arcade Depot sells 350 tokens for $38.50. What do we divide?

Answer:

Say it and write itSentence starters

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

  • If the percent is less than 100%, the given number is a , so the whole must be than it.

Word bank Unit RateBetter BuyComparisonPer UnitRateProportionpartwholebiggersmaller100%percent

Watch outA common mistake

A common mistake when finding the whole is multiplying by the percent instead of dividing. For "$42 is 60% of the original price," computing 0.6 × 42 = $25.20 makes the original price SMALLER than the sale price — impossible for a discount. Since percent × whole = part, the whole is found by dividing: 42 ÷ 0.6 = $70. Whenever the percent is less than 100%, the whole must come out larger than the part, so a smaller answer is the tell.

Grade 6 Mathematics · Unit 4: Understand and Use PercentagesStandard 6.AT.2

Lesson 3.83.8 · 3.10 · 4.4 · 4.5 Catch-Up

Catch-UpSkill bridge

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

Learning target I can show I am caught up on Lessons 3.8 · 3.10 · 4.4 · 4.5 by using each lesson's big idea in mixed practice.

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

    (Lesson 3.8) Which is the better buy: 6 bouncy balls for $4.50 or 10 bouncy balls for $8.00?

    1. A10 for $8.00 — $0.80 each
    2. BThey cost the same per ball
    3. CNot enough information
    4. D6 for $4.50 — $0.75 each

    Hint You can't compare $4.50 and $8.00 straight across — the packs hold different numbers of balls.

    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

    (Lesson 3.8) A faucet drips 15 ounces of water in 5 minutes. What is the unit rate?

    1. A0.33 ounces per minute
    2. B3 ounces per minute
    3. C5 ounces per minute
    4. D15 ounces per minute

    Hint The unit rate here is ounces per ONE minute — 15 ounces spread across 5 minutes.
    per 1
    1. 1LabelWrite what each column is.
    2. 2Find per 1Divide to get one.
    3. 3ScaleMultiply up to what is asked.
    4. 4CheckDoes the size make sense?
  3. 3Circle the letter of the best answer. Show how you know.

    (Lesson 3.10) How many inches are in 7 feet?

    1. A70 inches
    2. B72 inches
    3. C84 inches
    4. D96 inches

    Hint The key fact: 1 foot = 12 inches. You have 7 feet and want inches.

    Show your work
  4. 4Circle the letter of the best answer. Show how you know.

    (Lesson 3.10) How many feet are in 3 yards?

    1. A6 feet
    2. B9 feet
    3. C12 feet
    4. D36 feet

    Hint The key fact: 1 yard = 3 feet. You have 3 yards and want feet.

    Show your work
  5. 5Circle the letter of the best answer. Show how you know.

    (Lesson 4.4) What is 20% of 150?

    1. A20
    2. B30
    3. C35
    4. D75

    Hint '20% of 150' means you want a PART of 150 — the answer should be smaller than 150.

    0%50%100%
    Work
    1. 1Whole100% is what number?
    2. 2Find 10%Divide by 10.
    3. 3BuildAdd or multiply to the percent.
    4. 4CheckIs it under or over the whole?

Explain your thinkingHow can you tell, before doing any arithmetic, whether the answer should be bigger or smaller than the number you were given?

Sentence starter If the percent is less than 100%, the given number is a ___, so the whole must be ___ than it.

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