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

Lesson 4.54.4–4.5 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 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
Percent of a NumberSpanish: Porcentaje de un número A part of a number found by multiplying the number by the percent written as a decimal. 25% of 80 = 0.25 × 80 = 20
PercentSpanish: Porcentaje A way to compare a number to 100, shown with the % sign. 30% means 30 out of 100
BaseSpanish: Base The whole amount you start with — the number right after the word “of.” 25% of 80 → the whole is 80.
PartSpanish: Parte How much of the base (the whole) you get. It is your answer. $42 is the sale price
EquationSpanish: Ecuación A number sentence with an equal sign. The percent one is: part = percent × base. part = percent × base — like 20 = 0.25 × 80.
DiscountSpanish: Descuento Money taken off the first price to make it cheaper. $40 shirt at 25% off: discount = $10

How it worksWorked examplefinding the whole from a part and its percent

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

A team has won 24 games, and that is 40% of the games it played. How many games did the team play?

  1. Pair up what you know: 24 games matches 40%.
  2. Step down to ten percent: divide both terms by four, giving 6 games.
  3. Step up to one hundred percent: multiply both terms by ten.
  4. Check forward: forty percent of your total should return the 24 wins.

Answer: The team played 60 games in all.

Now you trySame steps, your turn

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

A club collected 35 cans, and that is 25% of its collection goal. How many cans is the goal?

  1. Pair up what you know: cans matches %.
  2. Divide both terms by five: cans matches five percent.
  3. Multiply both terms by twenty: cans matches one hundred percent.
  4. Check forward: one quarter of your total should return cans.
Answer:the club's full collection goal

Say it and write itSentence starters

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

  • The part is and it matches %.
  • Ten percent of the whole is .
  • The whole is because .
  • I checked my answer by finding % of it.

Word bank partwholepercentdouble number lineequivalent ratioscaledividemultiplyten percentone hundred percenttablecheck

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.4

Lesson 4.54.4–4.5 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 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 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?
  2. 2Circle the letter of the best answer. Show how you know.

    (Lesson 4.4) What is 50% of 84?

    1. A34
    2. B42
    3. C50
    4. D168

    Hint 50% is a friendly percent — it means exactly one-half of the number.

    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?
  3. 3Circle the letter of the best answer. Show how you know.

    (Lesson 4.5) $20 is 50% of what number?

    1. A$10
    2. B$25
    3. C$40
    4. D$70

    Hint 50% means half of the whole.

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

    (Lesson 4.5) Which equation says "30 is 25% of some number n"?

    1. A0.25n = 30
    2. Bn = 0.25 × 30
    3. C25n = 30
    4. Dn = 30 + 25

    Hint Which number is the part, and which is the percent?

    Show your work

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