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

Lesson 4.1Percents Greater Than 100%

Apply Day · Set BSecond form · new problems, same idea

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%.

Remember4.1 · Part II

Understanding 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 %)

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.

    What does the word percent mean?

    1. APer ten
    2. BPer thousand
    3. CPer hundred
    4. DPer part
    Show your work
Part 2Apply itreal-world problems
  1. 2Complete each step, then write the final answer.
    Like recess8?Students10100× ?× ?

    8 out of every 10 students like recess best. What percent of the students is that?

    Show your work
    Final answer:
  2. 3Complete each step, then write the final answer.
    Ride the bus9?Students25100× ?× ?

    A class has 25 students. 9 of them ride the bus. What percent of the class rides the bus?

    Show your work
    Final answer:
  3. 4Complete each step, then write the final answer.
    35%
    The third grid: 35 of 100 squares.

    A grid of 100 squares is one whole. Sam shades 2 full grids and 35 squares of one more grid. What percent did Sam shade?

    Show your work
    Final answer:
  4. 5Complete each step, then write the final answer.
    Height now (cm)30?First height (cm)20100× ?× ?

    A plant was 20 cm tall. Now it is 30 cm tall. What percent of its first height is its height now?

    Show your work
    Final answer:
  5. 6Complete each step, then write the final answer.
    Cups Kai used3.5?Recipe (cups)2100× ?× ?

    A recipe needs 2 cups of flour. Kai uses 3.5 cups. What percent of the recipe's flour did Kai use?

    Show your work
    Final answer:
  6. 7Circle the letter of the best answer. Show how you know.
    A: hats sold45?A: hats60100B: hats sold70?B: hats80100C: hats sold18?C: hats24100
    Scale each store to 100 hats.

    Store A sold 45 of its 60 hats. Store B sold 70 of its 80 hats. Store C sold 18 of its 24 hats. Which two stores sold the same percent of their hats?

    1. AStore A and Store C
    2. BStore A and Store B
    3. CStore B and Store C
    Show your work
  7. 8Circle the letter of the best answer. Show how you know.

    3 out of every 10 arcade players reach the bonus level. What percent is that?

    1. A3%
    2. B10%
    3. C13%
    4. D30%
    Show your work
  8. 9Circle the letter of the best answer. Show how you know.

    A decimal grid has 100 squares and 65 are shaded. What percent is shaded?

    1. A6.5%
    2. B35%
    3. C65%
    4. D100%
    Show your work
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help