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.

Why This Matters This is your support small group for Lesson 4.1. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.

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 example

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

3 out of 4 students bring lunch. What percent?

  1. What times 4 makes 100? 25.
  2. 3 × 25 = 75 and 4 × 25 = 100.
  3. 75 out of 100 = 75%.

Answer: 75% bring lunch

Now you trySame steps, your turn

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

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?

Answer:

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 out!A 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

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.

Why This Matters This is your support small group for Lesson 4.1. We're going to slow this down and build it together, one step at a time. You can ask a question any time — that's what this group is for.

  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 ___.

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