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

Lesson 4.14.1 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target 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.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
PercentSpanish: Porcentaje A ratio that compares a number to 100. The word means “per hundred,” and the symbol is %. 40% = 40 out of every 100
Per hundredSpanish: Por cada cien The meaning hidden inside the word percent: for every group of 100. It is why every percent can be written as a fraction over 100. 7% means 7 per hundred
Decimal gridSpanish: Cuadrícula decimal A 10-by-10 grid of 100 squares. Shading squares shows a percent directly, one square per percent. 62 shaded squares = 62%
Part-to-wholeSpanish: Parte a todo A comparison of one part against the whole amount. In a percent, the whole is always 100%. shaded squares to all squares
Greater than 100%Spanish: Mayor que 100 % More than one whole. A percent above 100 means the amount is larger than the thing it is being compared to. 150% of the gray kitten = 1.5 times its weight
Percents Greater Than 100% and Less Than 1%Spanish: Porcentajes mayores que 100% y menores que 1% Percents can describe amounts greater than one whole or smaller than one hundredth of a whole. 150% = 1.5 and 0.5% = 0.005

How it worksWorked exampleturning a ratio into a percent

These numbers are not on your problems. The steps are. Follow them with your own numbers.

In a survey, 18 out of every 50 sixth graders pack their lunch. What percent pack their lunch?

  1. Write the ratio: 18 out of 50.
  2. Ask: what times 50 makes 100? 50 × 2 = 100
  3. Multiply BOTH terms by 2: 18 out of 50 → 36 out of 100
  4. 36 out of 100 means 36%.

Answer: 36% of the sixth graders pack their lunch.

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

In the same survey, 3 out of every 10 students ride a scooter. What percent ride a scooter?

  1. Write the ratio: out of
  2. What times 10 makes one hundred?
  3. Multiply BOTH terms: out of one hundred
  4. Write the percent: %
Answer:percent of students who ride a scooter

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

  • % means out of every hundred.
  • To compare to a hundred, I multiplied both terms by .
  • The part is and the whole is .
  • A percent is a ratio because .

Word bank percentper hundredratiopartwholeequivalentmultiplytermsgridcompare

Watch outA common mistake

A common mistake with percent is scaling only one term of the ratio: reading 7 out of 10 as 7%. A percent compares to 100, so BOTH terms must be multiplied by the same factor — 10 × 10 = 100, so 7 × 10 = 70, giving 70%. Reading it as 7% describes seats that are nearly empty when they are nearly full. A second mistake is treating a percent as an amount: 150% of a 200-point goal is 1.5 × 200 = 300 points, not 150 points.

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

Lesson 4.14.1 Small Group · Group 1

Group 1Supported practice

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

Learning target 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.

  1. 1Complete each step, then write the final answer.
    Play a sport6?Students10100× ?× ?

    In a class, 6 out of every 10 students play a sport. What percent of the students play a sport?

    1. 1First column: 6 play a sport out of how many students?
    2. 2What do you multiply 10 by to get 100?
    3. 3Multiply 6 by 10 too. What percent play a sport?
    Final answer:
  2. 2Complete each step, then write the final answer.
    Laps1020Percent (%)100?× ?× ?
    The goal of 10 laps is the whole.

    Leo's goal was to run 10 laps. He ran 2 times his goal. What percent of his goal did he run?

    1. 1The goal is the whole. What percent goes with 10 laps?
    2. 2Leo ran 2 times his goal. What do you multiply 10 laps by?
    3. 3Multiply 100% by 2 too. What percent of his goal did he run?
    4. 4Is 200% more or less than one whole?
    Final answer:
  3. 3Complete each step, then write the final answer.
    Like recessStudents________________

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

    Show your work

    Hint Multiply both terms by 10 to get a number out of 100.

    Final answer:
  4. 4Complete each step, then write the final answer.
    Ride the busStudents________________

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

    Show your work

    Hint What do you multiply 25 by to get 100? Multiply 9 by the same number.

    Final answer:
  5. 5Complete each step, then write the final answer.
    Shirts soldGoal (shirts)________________

    A store wanted to sell 50 shirts. It sold 80 shirts. What percent of its goal did the store sell?

    Show your work

    Hint The goal is the whole, or 100%. Multiply 50 and 80 by 2.

    Final answer:
  6. 6Complete each step, then write the final answer.
    PartWhole________________

    Ana says 9 out of every 20 is 9%. Is she right? What percent is 9 out of every 20?

    Show your work

    Hint A percent is out of 100, not out of 20. What turns 20 into 100?

    Final answer:

Explain your thinkingAna read 9 out of 20 as 9%. Why must you scale to 100 first? What does 200% of a goal mean?

Sentence starter A percent tells how many out of ___. · 200% of a goal means ___ because ___.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help