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

Lesson 4.1Understand Percent

Set B · Version ASecond form · supported practice

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

Learning target 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%.

Why This Matters The arcade posts every result as a percent of the weekly goal. A percent compares a number to 100 — so 40% means 40 out of every 100. Some players land under the goal, and some blow past it: a score of 150% means one and a half times the whole goal. Your job is to read and model each result as a comparison to 100.

RememberUnderstand Percent

Understanding Percent. Formula: Percent = Parts per 100 = Ratio of a number to 100 Percent means per hundred. Any part-to-whole comparison becomes a percent by rewriting it as an equivalent ratio whose second term is 100. A decimal grid makes that visible: 100 squares, one for each percent.

  1. Percent means 'per hundred' (% = /100).
  2. On a 100-grid, each square represents 1% = 0.01 = 1/100.
  3. Fraction to Percent: Scale fraction to a denominator of 100

Words: Percent (Porcentaje)Per hundred (Por cada cien)Decimal grid (Cuadrícula decimal)Part-to-whole (Parte a todo)Greater than 100% (Mayor que 100 %)

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

    A 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
    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

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

    1. A70
    2. B107
    3. C700
    4. D7,000
    Show your work
  3. 3Circle the letter of the best answer. Show how you know.

    Which 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
    Show your work
  4. 4Circle the letter of the best answer. Show how you know.

    A ribbon is 84 inches long. How many feet is that?

    1. A7 feet
    2. B8 feet
    3. C72 feet
    4. D1,008 feet
    Show your work
  5. 5Circle the letter of the best answer. Show how you know.

    Shanice's cat had two kittens. The gray kitten weighs 4 ounces. The orange kitten weighs 1.5 times as much as the gray kitten. 4 out of every 10 voters chose the tiger. What percent is that?

    1. A4%
    2. B10%
    3. C14%
    4. D40%
    Show your work
  6. 6Circle the letter of the best answer. Show how you know.

    Shanice's cat had two kittens. The gray kitten weighs 4 ounces. The orange kitten weighs 1.5 times as much as the gray kitten. On a decimal grid of 100 squares, how many squares show 23%?

    1. A2.3 squares
    2. B23 squares
    3. C77 squares
    4. D230 squares
    0%50%100%
    Work
    1. 1Whole100% is what number?
    2. 2Find 10%Divide by 10.
    3. 3BuildAdd or multiply to the percent.
    4. 4CheckIs it under or over the whole?

Explain your thinkingA 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?

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

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 4.1Understand Percent

Set B · Version BSecond form · core practice

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

Learning target 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%.

Why This Matters The arcade posts every result as a percent of the weekly goal. A percent compares a number to 100 — so 40% means 40 out of every 100. Some players land under the goal, and some blow past it: a score of 150% means one and a half times the whole goal. Your job is to read and model each result as a comparison to 100.

Part 1Understand the ideamodels and meaning
  1. 1Write the name of the correct group on each line.

    Sort each phrase under the percent it describes.

    Groups: 40% 150%
    • 40 out of 100
    • 1.5 times the whole
    • Less than one whole
    • More than one whole
  2. 2Write the letter of the matching item on each line.

    Match each percent to its meaning.

    1. 25%
    2. 100%
    3. 150%
    4. 200%
    • Aa quarter of the whole
    • Bexactly one whole
    • Cone and a half wholes
    • Dtwo wholes
Part 2Apply itreal-world problems
  1. 3Circle the letter of the best answer. Show how you know.

    Shanice's cat had two kittens. The gray kitten weighs 4 ounces. The orange kitten weighs 1.5 times as much as the gray kitten. A percent of 150% tells you the amount is…

    1. AHalf the whole
    2. B150 items
    3. CImpossible
    4. D1.5 times the whole
    Show your work
  2. 4Circle the letter of the best answer. Show how you know.

    What percent is 9 out of 100?

    1. A0.9%
    2. B9%
    3. C19%
    4. D90%
    Show your work
  3. 5Circle the letter of the best answer. Show how you know.

    Which is exactly one whole?

    1. A1%
    2. B10%
    3. C50%
    4. D100%
    Show your work
  4. 6Circle the letter of the best answer. Show how you know.

    A player scored 200% of the weekly goal. That means the player scored…

    1. AHalf of the goal
    2. BExactly the goal
    3. CTwo points total
    4. DTwice the goal
    Show your work

Explain your thinkingA 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?

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