6.AT.4 Group 1 · Extra Support

Practice Set · Part 1

Understand Percent

Pick up where we left off

Name: Date: Group:

Where we left off

Our goal: With my small group, I can explain a percent as a rate per 100, model it on a decimal grid or tape diagram, and interpret percents greater than 100% — one step at a time, with support.

The big idea: A percent tells how many out of 100. 100% is one whole, so a percent greater than 100% is more than one whole.

Model to copy — Example 1 · Turn a ratio into a percent

  1. Students voted for a school mascot. 4 out of every 10 voters chose the tiger. What percent of the voters chose the tiger?
  2. Write the ratio in the table: 4 out of 10
  3. Find the scale factor from 10 to 100: 100 ÷ 10 = 10
  4. Multiply the part by 10 too: 4 × 10 = 40
  5. Write it as a percent: 40 out of 100 → 40%
  6. 40% of the voters chose the tiger.

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.

    Let's do one together: Shanice's gray kitten weighs 4 ounces. The orange kitten weighs 1.5 times as much. What percent of the gray kitten's weight is the orange kitten's weight? The gray kitten is the whole. What percent goes with 4 oz? (100%) The orange kitten weighs 1.5 times as much. What is the scale factor? (1.5) Multiply 4 oz by 1.5. How much does the orange kitten weigh? (6 oz) Multiply 100% by 1.5 too. What percent is it? (150%)

    My first step is ___ , because the problem asks for ___ .

    Show your work
  2. 2

    Warm restartA recipe calls for 2 pounds of apples. How many ounces is that? (1 lb = 16 oz)

    1. A8 ounces
    2. B18 ounces
    3. C32 ounces
    4. D320 ounces
  3. 3

    Warm restartComplete the table: 1 metre = 100 centimetres, so 7 metres = ___ centimetres.

    1. A70
    2. B107
    3. C700
    4. D7,000
  4. 4

    Warm restartWhich conversion factor turns minutes into hours?

    1. A1 hour / 60 minutes
    2. B1 minute / 60 hours
    3. C60 minutes / 1 hour
    4. D60 hours / 1 minute
4.1 Small Group · Group 1 · Practice SetPart 1 of 4
6.AT.4 Group 1 · Extra Support

Practice Set · Part 2

Understand Percent

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 through4 out of every 10 voters chose the tiger. What percent is that?

    1. A4%
    2. B10%
    3. C14%
    4. D40%

    Why is that the answer?

    I chose ___ because ___ .

  2. 6

    Think it throughOn a decimal grid of 100 squares, how many squares show 23%?

    1. A2.3 squares
    2. B23 squares
    3. C77 squares
    4. D230 squares

    How do you know?

    I chose ___ because ___ .

  3. 7

    Think it throughA percent of 150% tells you the amount is…

    1. AHalf the whole
    2. B150 items
    3. CImpossible
    4. D1.5 times the whole

    Explain your thinking.

    I chose ___ because ___ .

  4. 8

    Back to the modelA friend says "a percent can never be more than 100, because you cannot have more than all of something." How would you answer using the mascot vote and the kittens?

    A percent compares a number to ___, so ___% just means the amount is ___ than the whole it is compared to.

Sort it again — on paper this time

Write the letter of the group each one belongs in.

A — Less than one wholeB — One wholeC — More than one whole
4.1 Small Group · Group 1 · Practice SetPart 2 of 4
6.AT.4 Group 1 · Extra Support

Practice Set · Part 3

Understand Percent

Words and reasoning

Word bank · Banco de palabras

Percent (Porcentaje)Per hundred (Por cada cien)Decimal grid (Cuadrícula decimal)Part-to-whole (Parte a todo)Greater than 100% (Mayor que 100 %)Percents Greater Than 100% and Less Than 1% (Porcentajes mayores que 100% y menores que 1%)Less than 1% (Menor que 1%)Equivalent (Equivalente)

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 with percent is scaling only one term of the ratio: reading 7 out of 10 as 7%.
  2. 10

    Say moreWhen you wrote percents like 150% and 0.5% as decimals, what did you notice about their size compared to 1?

    150% as a decimal is ___ because ___.

  3. 11

    Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.

    If ___ changed to ___ , then ___ .

    Show your work
4.1 Small Group · Group 1 · Practice SetPart 3 of 4
6.AT.4 Group 1 · Extra Support

Practice Set · Part 4

Understand Percent

Show what you know

Last check

These two come from Lesson 3.10. If they are shaky, that is the lesson to revisit — not this one.

  1. 12

    Show what you knowQuick check — you've got this: Four out of every ten voters chose the tiger. What percent chose the tiger, and how do you know?

    1. A4%, because 4 voters chose the tiger
    2. B10%, because the ratio is out of 10
    3. C14%, because 4 + 10 = 14
    4. D40%, because 4 out of 10 equals 40 out of 100

    Explain your choice.

    I know it is ___ because ___ .

  2. 13

    From Lesson 3.10Quick check — you've got this: Which is the correct conversion of 5 yards to inches?

    1. A15 inches
    2. B60 inches
    3. C180 inches
    4. D540 inches
  3. 14

    From Lesson 3.10Will the cabinet fit through the 80-inch doorway?

    1. ANo, because 84 > 80
    2. BYes, because 84 < 80
    3. CYes, because 7 feet is small
    4. DYou cannot tell without the width

Be honest — this tells your teacher what to do next

I can…Not yetGetting thereGot it
I can explain a percent as a rate per 100, model it on a decimal grid or tape diagram, and interpret percents greater than 100% — one step at a time, with support.
I can explain why it works: A percent tells how many out of 100. 100% is one whole, so a percent greater than 100% is more than one whole.
I can talk through each step out loud using a sentence frame and the lesson's key words.

One question I want to ask my group next time