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

Lesson 4.34.3 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target With my small group, I can estimate the percent of a number using benchmark percents, rounding, and compatible numbers — one step at a time, with support.

Why This Matters This is your support small group for Lesson 4.3. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.

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 70% used
benchmark percentSpanish: porcentaje de referencia A friendly percent — 1%, 10%, 25%, 50%, 75%, 100% — used as a landmark for estimating. 10%, 25%, 50%, 75%
compatible numbersSpanish: números compatibles Numbers close to the originals that are easy to compute with mentally. 8.6% of 216 → 10% of 220: both nudged to numbers that divide nicely.
double number lineSpanish: recta numérica doble Two parallel number lines that pair amounts with their percents at the same positions. 0, 30, 60 GB over 0%, 50%
the wholeSpanish: el todo The quantity that counts as 100% in a problem — and it can change between questions. all of the storage
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.

A game download is 80 MB. 41 MB are done. About what percent is done?

  1. Whole: 80 MB is 100%.
  2. 50% of 80 is 40 MB.
  3. 41 MB is just over 40 MB.

Answer: about 50%

Now you trySame steps, your turn

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

The Green Team recycled 216 pounds of material. 8.6% of it was metal. About how many pounds of metal did they recycle?

Answer:

Say it and write itSentence starters

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

  • The whole in this problem is , so it stands for one hundred percent.
  • The benchmark closest to is .
  • My estimate is about % because .
  • I know my estimate is reasonable because .

Word bank estimateaboutbenchmarkwholepartdouble number linehalfone quarterthree quartersclose toreasonablecompare

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 4.34.3 Small Group · Group 1

Group 1Supported practice

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

Learning target With my small group, I can estimate the percent of a number using benchmark percents, rounding, and compatible numbers — one step at a time, with support.

Why This Matters This is your support small group for Lesson 4.3. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.

  1. 1Complete each step, then write the final answer.
    Percent (%)10010Cans190?÷ ?÷ ?
    190 cans is 100%.

    A class collected 189 cans. 9.5% of the cans were soup. About how many cans of soup is that?

    1. 1Round 9.5% to a benchmark percent. What do you get?
    2. 2Round 189 to a friendly number.
    3. 3What do you divide 100% by to get 10%?
    4. 4Divide 190 by 10 too. About how many cans of soup?
    Final answer:
  2. 2Complete each step, then write the final answer.
    Percent (%)10025Students320?÷ ?÷ ?
    320 students is 100%.

    A school has 323 students. 26% of the students walk to school. About how many students walk?

    1. 1Round 26% to a benchmark percent.
    2. 2Round 323 to a number that is easy to divide by 4.
    3. 3What do you divide 100% by to get 25%?
    4. 4Divide 320 by 4 too. About how many students walk?
    Final answer:
  3. 3Complete each step, then write the final answer.
    Percent (%)Number________________

    Estimate 49% of 82.

    Show your work

    Hint 49% is close to 50%. Find half of a friendly number near 82.

    Final answer:
  4. 4Complete each step, then write the final answer.
    Percent (%)Number________________

    Estimate 10.4% of 587.

    Show your work

    Hint Round 10.4% to 10%. Round 587 to a friendly number. Then move the decimal point.

    Final answer:
  5. 5Complete each step, then write the final answer.
    Percent (%)Meal ($)________________

    Dad leaves a tip of 21% on a $29.80 meal. About how much is the tip?

    Show your work

    Hint Round 21% to 20% and $29.80 to $30. 100 ÷ 5 = 20, so divide $30 by 5.

    Final answer:
  6. 6Circle the letter of the best answer. Show how you know.
    Percent (%)Number________________

    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.

    Hint 52% is close to which benchmark? What is that benchmark of 200?

    Show your work

Explain your thinkingTo estimate 26% of 323, Kim used 25% of 320. Jo used 25% of 300. Are both estimates good? Explain.

Sentence starter I round 26% to ___ because ___. · Both estimates are close because ___.

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