6.AT.4 Group 2 · Challenge

Practice Set · Part 1

Understand Percent

Pick up where we left off

Name: Date: Group:

Where we left off

Our goal: 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%, explain what each part stands for, and build one for a situation I have not seen before.

The big idea: To find a percent, scale the ratio so the whole becomes 100. When the part is more than the whole, the percent is more than 100%.

Model to copy — Example · More than one whole

  1. A player's weekly goal is 20 points. She scores 50 points. What percent of her goal did she score?
  2. Name the whole: goal: 20 points → 100%
  3. Write the ratio in the table: 50 to 20
  4. Find the scale factor from 20 to 100: 100 ÷ 20 = 5
  5. Multiply the score by 5 too: 50 × 5 = 250
  6. Read the percent: 250 out of 100 → 250%
  7. She scored 250% of her goal.

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: 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? Which kitten is the whole, or 100%? (The gray kitten.) What is the scale factor from the gray kitten to the orange kitten? (1.5) Multiply 4 oz and 100% by 1.5. What percent is the orange kitten? (150%) Why is the percent more than 100%? (The orange kitten weighs more than the whole, which is the gray kitten. More than one whole means more than 100%.)
    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

    How do you know?

  3. 3

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

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

    How do you know?

  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

    How do you know?

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

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?

  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? Give a second reason as well.

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

  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?

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

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?

  3. 11

    Write your ownWrite your own problem about this situation, then solve it and show the answer. The situation: The arcade leaderboard shows one player scored 150% of the weekly goal. A rare bonus round adds a 0.5% point boost.

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

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 knowExplain your thinking — 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.

  2. 13

    From Lesson 3.10Explain your thinking — Which is the correct conversion of 5 yards to inches?

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

    How do you know?

  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

    How do you know?

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%, explain what each part stands for, and build one for a situation I have not seen before.
I can explain why it works: To find a percent, scale the ratio so the whole becomes 100. When the part is more than the whole…
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