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

Lesson 4.4Find and Compare with Percentages

Set B · Version ASecond form · supported practice

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

Learning target I can find the percent of a number using an equation or a model.

Why This Matters It's Discount Day at the arcade. Different games are offering percent-off deals on ticket prices. The claw machine is 25% off its usual 60-ticket price, and the racing game is 40% off 80 tickets. You need to calculate the discounts to figure out how many tickets each game actually costs!

RememberFind and Compare with Percentages

Finding the Percent of a Number. Formula: Part = Percent × Whole A percent is a piece of a whole. The whole is called the base — it is the number right after the word “of,” and “of” means multiply. Your answer is the piece you get, called the part.

  1. Identify the percent and the whole (base amount).
  2. Convert the percent to a decimal or simplified fraction.
  3. Multiply the decimal/fraction by the whole to calculate the part

Words: Percent (Porcentaje)Base (Base)Part (Parte)Equation (Ecuación)Discount (Descuento)

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

    Which benchmark percent is closest to 9%?

    1. A1%
    2. B10%
    3. C25%
    4. D50%
    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.

    Estimate 24% of 80 using a benchmark percent.

    1. Aabout 8
    2. Babout 20
    3. Cabout 24
    4. Dabout 40
    Show your work
  3. 3Circle the letter of the best answer. Show how you know.

    A jacket costs $39.75. Estimate a 20% discount.

    1. Aabout $2
    2. Babout $4
    3. Cabout $8
    4. Dabout $20
    Show your work
  4. 4Circle the letter of the best answer. Show how you know.

    Estimate 48% of 62.

    1. Aabout 15
    2. Babout 30
    3. Cabout 48
    4. Dabout 60
    Show your work
  5. 5Circle the letter of the best answer. Show how you know.

    The arcade is donating 12% of Saturday's ticket sales to charity. They sold 1,500 tickets on Saturday. The manager says they will donate 180 tickets. A student says it should be 18 tickets. What is 12% written as a decimal?

    1. A0.012
    2. B0.12
    3. C1.2
    4. D12
    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?
  6. 6Circle the letter of the best answer. Show how you know.

    The arcade is donating 12% of Saturday's ticket sales to charity. They sold 1,500 tickets on Saturday. The manager says they will donate 180 tickets. A student says it should be 18 tickets. What is 12% of 1,500 tickets?

    1. A1.8
    2. B18
    3. C180
    4. D1,800
    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 thinkingWhat steps do you follow every time you find the percent of a number?

Sentence starter To find ___% of ___, I first convert the percent to ___, then I multiply ___ × ___ = ___.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
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 4: Understand and Use PercentagesStandard 6.AT.4

Lesson 4.4Find and Compare with Percentages

Set B · Version BSecond form · core practice

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

Learning target I can find the percent of a number using an equation or a model.

Why This Matters It's Discount Day at the arcade. Different games are offering percent-off deals on ticket prices. The claw machine is 25% off its usual 60-ticket price, and the racing game is 40% off 80 tickets. You need to calculate the discounts to figure out how many tickets each game actually costs!

Part 1Understand the ideamodels and meaning
  1. 1Write the letter of the matching item on each line.

    Match each percent-of-a-number tip to its result.

    1. 20% of 70
    2. 50% of 46
    3. 10% of 90
    4. 30% of 200
    • A14
    • B23
    • C9
    • D60
  2. 2Write the name of the correct group on each line.

    Each arcade game shows a percent of a number. Sort each one into the correct result bin.

    Groups: Equals 12 Equals 30
    • 25% of 48
    • 40% of 30
    • 75% of 40
    • 10% of 300
Part 2Apply itreal-world problems
  1. 3Circle the letter of the best answer. Show how you know.

    The arcade is donating 12% of Saturday's ticket sales to charity. They sold 1,500 tickets on Saturday. The manager says they will donate 180 tickets. A student says it should be 18 tickets. Check with a benchmark: what is 10% of 1,500?

    1. A1.5
    2. B15
    3. C100
    4. D150
    0%50%100%
    Work
  2. 4Circle the letter of the best answer. Show how you know.

    The claw machine prize is 80 tickets and today it is 25% off. How many tickets do you save?

    1. A16
    2. B20
    3. C25
    4. D55
    0%50%100%
    Work
  3. 5Circle the letter of the best answer. Show how you know.

    Your bowling score was 60 points. The bonus round adds 15% more points. How many bonus points is that?

    1. A9
    2. B15
    3. C45
    4. D75
    0%50%100%
    Work
  4. 6Circle the letter of the best answer. Show how you know.

    A snack at the arcade costs $40. The sales tax is 5%. How many dollars is the tax?

    1. A$2
    2. B$5
    3. C$8
    4. D$20
    0%50%100%
    Work

Explain your thinkingWhat steps do you follow every time you find the percent of a number?

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help