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

Lesson 4.3Estimate the Percent of a Number

Set B · Version ASecond form · supported practice

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

Learning target I can estimate the percent of a number using benchmark percents, rounding, and compatible numbers.

Why This Matters Margaret checked the cloud storage on her phone: 6 GB total, 4 GB used. Approximately what percent of her storage is used — and of the used storage, approximately what percent are photos?

RememberEstimate the Percent of a Number

Estimating Percents of Numbers The word approximately tells you an exact answer is not required. Benchmarks, rounding and compatible numbers get you close, fast.

  1. Use benchmark percents: 10% (move decimal left 1), 1% (move left 2), 50% (half), 25% (quarter).
  2. Combine benchmarks (e.g. 15% = 10% + 5%; 75% = 50% + 25%).
  3. Round numbers to compatible values for quick mental estimates

Words: estimate (estimación)benchmark percent (porcentaje de referencia)compatible numbers (números compatibles)double number line (recta numérica doble)the whole (el todo)

Part 1Understand the ideamodels and meaning
  1. 1Write the name of the correct group on each line.

    Sort each problem by its best benchmark percent.

    Groups: Use 10% (move the decimal) Use 50% (take half) Use 25% (take a quarter)
    • 8.6% of 216
    • 11% of 350
    • 48% of 90
    • 52% of 200
    • 26% of 80
    • 24% of 400

    Hint Round the percent to the nearest friendly benchmark: 8.6% is close to 10%, 48% is close to 50%.

  2. 2Complete the table. Show how you found each value.

    Complete the benchmark table for 240.

    BenchmarkShortcutValue
    10% of 240
    1% of 240
    50% of 240
    25% of 240

    Hint 10% and 1% only move the decimal point — no long computation.

    Show your work
Part 2Apply itreal-world problems
  1. 3Circle the letter of the best answer. Show how you know.

    1 MB equals 0.001 GB. Mail uses 300 MB. About what percent of Margaret's 6 GB is mail?

    1. AAbout 0.5%
    2. BAbout 5%
    3. CAbout 30%
    4. DAbout 50%

    Hint Convert first: 300 MB = ? GB.

    Show your work
  2. 4Circle the letter of the best answer. Show how you know.

    Which fraction is equivalent to 25%?

    1. A1/4
    2. B1/25
    3. C2/5
    4. D4/1
    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. 5Circle the letter of the best answer. Show how you know.

    Write 10% as a decimal.

    1. A0.01
    2. B0.1
    3. C1.0
    4. D10.0
    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. 6Circle the letter of the best answer. Show how you know.

    Write 3/5 as a percent.

    1. A30%
    2. B35%
    3. C53%
    4. D60%
    Rewrite each fraction
    Work it out
    Simplify
    1. 1Same size piecesCommon denominator first.
    2. 2OperateOnly then add or subtract.
    3. 3SimplifyDivide out common factors.

Explain your thinkingYou sorted a move into 'Benchmark percent' and your partner into 'Compatible numbers.' Which number did each strategy change — the percent or the whole — and why does changing that one keep the estimate close?

Sentence starter This is ___ because it changes the ___, and the estimate stays close since ___.

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 4.3Estimate the Percent of a Number

Set B · Version BSecond form · core practice

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

Learning target I can estimate the percent of a number using benchmark percents, rounding, and compatible numbers.

Why This Matters Margaret checked the cloud storage on her phone: 6 GB total, 4 GB used. Approximately what percent of her storage is used — and of the used storage, approximately what percent are photos?

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

    Which of these has the GREATEST value: 0.7, 65%, or 3/5?

    1. A65%
    2. B0.7
    3. C3/5
    4. DThey are all equal
    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

    Margaret's storage: 6 GB total, 4 GB used, and 3.5 GB of the used space is photos. The rest of the used space is mail, messages, and documents. For the question 'of the USED storage, what percent are photos,' what is the whole (100%)?

    1. A3.5 GB, the photos themselves
    2. B4 GB, the used storage
    3. C6 GB, the total storage
    4. D10 GB, adding the total and used storage together
    Show your work
  3. 3Circle the letter of the best answer. Show how you know.

    Margaret's storage: 6 GB total, 4 GB used, and 3.5 GB of the used space is photos. The rest of the used space is mail, messages, and documents. On a double number line built for a whole of 4 GB, what amount lines up with the 75% mark?

    1. A1 GB
    2. B3 GB
    3. C3.5 GB
    4. D4.5 GB
    0%50%100%
    Work
  4. 4Circle the letter of the best answer. Show how you know.

    Margaret's storage: 6 GB total, 4 GB used, and 3.5 GB of the used space is photos. The rest of the used space is mail, messages, and documents. Photos take up 3.5 of the 4 GB of used storage. About what percent of the used storage is photos?

    1. AAbout 35%
    2. BAbout 58%
    3. CAbout 87%
    4. DAbout 99%
    Show your work
  5. 5Circle the letter of the best answer. Show how you know.

    Estimate 19% of 412 using benchmarks or compatible numbers.

    1. AAbout 8
    2. BAbout 40
    3. CAbout 80
    4. DAbout 200
    Show your work

Explain your thinkingYou sorted a move into 'Benchmark percent' and your partner into 'Compatible numbers.' Which number did each strategy change — the percent or the whole — and why does changing that one keep the estimate close?

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