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

Lesson 4.3Estimate a Percent of a Number

Start hereWords, worked example, and sentence starters

Name Date Period

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

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
estimateSpanish: estimación A reasoned answer that is close enough to be useful, found without exact computation. about 22 pounds
benchmark percentSpanish: porcentaje de referencia A friendly percent — 1%, 10%, 25%, 50%, 75%, 100% — used as a landmark for estimating. 10%, 25%, 50%
compatible numbersSpanish: números compatibles Numbers close to the originals that are easy to compute with mentally. 216 pounds → 200 pounds
double number lineSpanish: recta numérica doble Two parallel number lines that pair amounts with their percents at the same positions. 0 · 25% · 50% · 75% · 100% above; 0 · 1.5 · 3 · 4.5 · 6 GB below.
the wholeSpanish: el todo The quantity that counts as 100% in a problem — and it can change between questions. “Of the USED storage” makes 4 GB the whole — not the 6 GB total.
DecomposeSpanish: Descomponer Break a percent into friendly pieces that are easy to find. 15% = 10% + 5%

How it worksWorked example

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

Estimate 20% of 312 bottles.

  1. 312 is about 300.
  2. 10% of 300 = 30.
  3. 20% = 30 + 30 = 60.

Answer: about 60 bottles

Say it and write itSentence starters

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

  • I rounded to because .
  • Ten percent of is .
  • My estimate is about .
  • My estimate is a little (high / low) because .

Word bank estimateroundcompatible numbersbenchmarkaboutten percenthalfquarterdecomposereasonablehighlow

Watch out!A common mistake

Keeping the same whole for every question

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

Lesson 4.3Estimate a Percent of a Number

Apply Day · Version ASupported 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.

  1. 1Complete each step, then write the final answer.
    Percent (%)10010Number800?÷ ?÷ ?

    Estimate 10.2% of 798.

    Show your work

    Hint 10.2% is about 10%. 798 is about 800.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Percent (%)10025Number120?÷ ?÷ ?

    Estimate 24% of 119.

    Show your work

    Hint 24% is about 25%, which is one quarter. 119 is about 120.

    Final answer:
  3. 3Complete each step, then write the final answer.
    Percent (%)10050Number140?÷ ?÷ ?

    Estimate 48% of 142.

    Show your work

    Hint 48% is about 50%. Find half of a friendly number near 142.

    Final answer:
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 a Percent of a Number

Apply Day · Version BCore 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.

  1. 1Circle the letter of the best answer. Show how you know.
    Percent (%)10050Number200?÷ ?÷ ?

    Jay estimates 52% of 198 as about 200. Is his estimate reasonable?

    1. ANo. 52% is about half, so it is about 100.
    2. BYes. 198 is about 200.
    3. CNo. It is about 52.
    Show your work
  2. 2Complete each step, then write the final answer.
    Percent (%)1001060Number500??÷ ?÷ ?× ?× ?

    Estimate 61% of 497. Combine benchmark percents.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Percent (%)10010Number900?÷ ?÷ ?

    Estimate 10.7% of 893.

    Show your work
    Final answer:
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 a Percent of a Number

Apply Day · ChallengeExtension

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.

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

    A jacket originally priced at $78.99 is on sale for 25% off. Which is the best estimate of the discount amount?

    1. A$8
    2. B$10
    3. C$20
    4. D$40
    Show your work
  2. 2Complete each step, then write the final answer.
    Percent (%)100105Number600??÷ ?÷ ?÷ ?÷ ?

    Nia estimates 4.8% of 610. She says 10% of 600 is 60, so the answer is about 60. Find a better estimate.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Percent (%)1002575Number800??÷ ?÷ ?× ?× ?

    Estimate 73% of 812. Use benchmark percents.

    Show your work
    Final answer:
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