6.AT.4 Group 2 · Challenge

Practice Set · Part 1

Find and Compare with Percentages

Pick up where we left off

Name: Date: Group:

Where we left off

Our goal: I can find the percent of a number using an equation or a model, explain what each part stands for, and build one for a situation I have not seen before.

The big idea: Write the percent as a decimal (move the point 2 places left), then multiply it by the base: part = percent × base — and you can say why it is true, and where it would stop being true.

Model to copy — Watch me

  1. The claw machine costs 60 tickets, and it is 25% off. I need 25% of 60.
  2. Step 1 — find the base (the whole): the number after “of” is 60.
  3. Step 2 — the percent as a decimal: 25% means 25 out of 100, so 25 ÷ 100 = 0.25.
  4. Step 3 — multiply: 0.25 × 60 = 15.
  5. The discount is 15 tickets. Check: 15 is about a quarter of 60, so that makes sense.

Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

  1. 1

    Same stepsFinish what the group started. Use the model above, step for step.

    Try it together — then prove it: Find 40% of 80. Step 1 — what is the base? (80, the number after “of”) Step 2 — 40% as a decimal? (40 ÷ 100 = 0.40) Step 3 — multiply: 0.40 × 80 = ? (32) Does 32 make sense? 40% is a little less than half, and half of 80 is 40. ✓ Now prove it: say why that move had to work at all — not just that it did.
    Show your work
  2. 2

    Warm restartWhich benchmark percent is closest to 9%?

    1. A10%
    2. B1%
    3. C25%
    4. D50%

    How do you know?

  3. 3

    Warm restartEstimate 24% of 80 using a benchmark percent.

    1. Aabout 20
    2. Babout 24
    3. Cabout 40
    4. Dabout 8

    How do you know?

  4. 4

    Warm restartA jacket costs $39.75. Estimate a 20% discount.

    1. Aabout $8
    2. Babout $4
    3. Cabout $20
    4. Dabout $2

    How do you know?

4.4 Small Group · Group 2 · Practice SetPart 1 of 4
6.AT.4 Group 2 · Challenge

Practice Set · Part 2

Find and Compare with Percentages

Keep going

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

  1. 5

    Think it throughWhat is 12% written as a decimal?

    1. A0.12
    2. B1.2
    3. C12
    4. D0.012

    Why is that the answer?

  2. 6

    Think it throughWhat is 12% of 1,500 tickets?

    1. A180
    2. B18
    3. C1.8
    4. D1,800

    How do you know? Give a second reason as well.

  3. 7

    Think it throughCheck with a benchmark: what is 10% of 1,500?

    1. A150
    2. B15
    3. C1.5
    4. D100

    Explain your thinking. What would have to change for a different choice to be right?

  4. 8

    Back to the modelWhat steps do you follow every time you find the percent of a number?

4.4 Small Group · Group 2 · Practice SetPart 2 of 4
6.AT.4 Group 2 · Challenge

Practice Set · Part 3

Find and Compare with Percentages

Words and reasoning

Word bank · Banco de palabras

Percent of a Number (Porcentaje de un número)Percent (Porcentaje)Base (Base)Part (Parte)Equation (Ecuación)Discount (Descuento)

Use the words

Fill each blank with a word from the bank.

Explain the thinking

  1. 9

    Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.

    The mistake: A common mistake in Find the Percent of a Number is multiplying by the percent number itself instead of its decimal form — for example, finding 30% of 80 by computing 30 × 80 = 2,400 instead of 0.
  2. 10

    Say moreWhat steps did you follow every time to find the percent of a number in the discount table?

  3. 11

    Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: Five phone battery icons are lined up in order. The first is full at 5 bars out of 5, and each one after it has one fewer bar. The last icon has 1 bar left, and the caption says about 1 hour remains.

    Show your work
4.4 Small Group · Group 2 · Practice SetPart 3 of 4
6.AT.4 Group 2 · Challenge

Practice Set · Part 4

Find and Compare with Percentages

Show what you know

Last check

These two come from Lesson 4.3. If they are shaky, that is the lesson to revisit — not this one.

  1. 12

    Show what you knowExplain your thinking — What is 45% of 360?

    1. A162
    2. B45
    3. C315
    4. D180

    Explain your choice.

  2. 13

    From Lesson 4.3Explain your thinking — Estimate 19% of 412 using benchmarks or compatible numbers.

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

    How do you know?

  3. 14

    From Lesson 4.3Photos take up 3.5 of the 4 GB of used storage. About what percent of the used storage is photos?

    1. AAbout 87%
    2. BAbout 58%
    3. CAbout 35%
    4. DAbout 99%

    How do you know?

Be honest — this tells your teacher what to do next

I can…Not yetGetting thereGot it
I can find the percent of a number using an equation or a model, explain what each part stands for, and build one for a situation I have not seen before.
I can explain why it works: Write the percent as a decimal (move the point 2 places left)…
I can justify my answer to a skeptic and connect it to a second strategy or representation.

One question I want to ask my group next time