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

Lesson 4.24.2 Small Group · Group 1

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target With my small group, I can write equivalent fractions, decimals, and percents for the same value — one step at a time, with support.

Why This Matters This is your support small group for Lesson 4.2. 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 way to compare a number to 100, shown with the % sign. 45% = 45 out of 100
DecimalSpanish: Decimal A number with a dot, like 0.5, that shows a part less than one. 0.45 = 45 hundredths
EquivalentSpanish: Equivalente Having the same value, just written a different way. 3/4 = 0.75 = 75%
BenchmarkSpanish: Referencia A familiar number you use to guess, like 50% or 1/2. 50% = one half
DiscountSpanish: Descuento Money taken off the first price to make it cheaper. $40 shirt at 25% off: discount = $10
HundredthsSpanish: Centésimos The second place after the decimal point; parts out of 100. 0.09 = 9 hundredths

How it worksWorked example

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

20 students voted. 7 chose green. Write the green votes as a fraction, a decimal, and a percent.

  1. Fraction: 7/20.
  2. 20 × 5 = 100, so 7/20 = 35/100.
  3. 35/100 = 0.35 = 35%.

Answer: 7/20 = 0.35 = 35%

Now you trySame steps, your turn

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

Write 1/5 as a fraction out of 100, a decimal and a percent.

Answer:

Say it and write itSentence starters

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

  • / is the same value as written as a decimal.
  • To change a decimal into a percent I .
  • % means out of every hundred.
  • I know these three forms are equivalent because .

Word bank percentdecimalfractionequivalenthundredthsdenominatornumeratorsimplest formbenchmarkscalewholepart

Watch out!A common mistake

A common mistake in Relate Fractions, Decimals, and Percents is treating the numerator and denominator as the percent's digits

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

Lesson 4.24.2 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 write equivalent fractions, decimals, and percents for the same value — one step at a time, with support.

Why This Matters This is your support small group for Lesson 4.2. 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.
    Part3?Whole10100× ?× ?

    Write 3/10 as a fraction out of 100, a decimal and a percent.

    1. 1What do we multiply the denominator 10 by to get 100?
    2. 2Multiply the numerator 3 by 10. What fraction out of 100 do you get?
    3. 330/100 is what percent?
    4. 4Write 30/100 as a decimal.
    Final answer:
  2. 2Complete each step, then write the final answer.
    Part65?Whole10020÷ ?÷ ?

    Now go the other way. Write 65% as a fraction out of 100 and as a decimal. Then simplify the fraction.

    1. 165% means 65 out of 100. Write it as a fraction.
    2. 2Write 65/100 as a decimal.
    3. 3Divide the top and bottom of 65/100 by 5. What fraction do you get?
    Final answer:
  3. 3Complete each step, then write the final answer.
    PartWhole________________

    Write 7/10 as a percent.

    Show your work

    Hint Multiply the top and bottom by 10 to get a denominator of 100.

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

    Write 3/25 as a decimal.

    Show your work

    Hint First make an equivalent fraction out of 100. 25 × 4 = 100.

    Final answer:
  5. 5Complete each step, then write the final answer.
    Right answersQuestions________________

    Maya got 17/20 of the quiz questions right. What percent of the questions did she get right?

    Show your work

    Hint What do you multiply 20 by to get 100? Multiply 17 by the same number.

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

    Ben says 0.6 is the same as 6%. Is he right? Write 0.6 as a percent.

    Show your work

    Hint Write 0.6 as hundredths first. 0.6 is 6 tenths.

    Final answer:

Explain your thinkingBen thought 0.6 is 6%. How does a hundred grid show that 0.6, 6/10 and 60% are the same amount?

Sentence starter On the grid, 0.6 shades ___ squares. · 0.6 is not 6% 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