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

Lesson 4.2Compare and Order

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can write equivalent fractions, decimals, and percents for the same value.

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. 25% means 25 out of 100
DecimalSpanish: Decimal A number with a dot, like 0.5, that shows a part less than one. 0.75 means seventy-five hundredths
EquivalentSpanish: Equivalente Having the same value, just written a different way. 0.8 = 80% = 4/5
BenchmarkSpanish: Referencia A familiar number you use to guess, like 50% or 1/2. one half = 50%
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. 0.62 = 62 hundredths

How it worksWorked example

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

Order 0.7, 3/5, and 65% from least to greatest.

  1. 0.7 = 0.70 = 70%
  2. 3/5 = 60/100 = 60%
  3. Compare: 60% < 65% < 70%

Answer: 3/5, 65%, 0.7

Say it and write itSentence starters

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

  • I wrote every value as so I could compare them.
  • is greater than because .
  • In order from least to greatest, the values are .
  • Two values are equal when .

Word bank compareorderleastgreatestequivalentcommon formpercentdecimalfractionhundredthsbenchmarkequal

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 4.2Compare and Order

Apply Day · Version ASupported practice

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

Learning target I can write equivalent fractions, decimals, and percents for the same value.

  1. 1Complete each step, then write the final answer.
    Part1?Whole2100× ?× ?

    Write 1/2 as a percent.

    Show your work

    Hint 2 × 50 = 100. Multiply the numerator by 50 too.

    Final answer:
  2. 2Complete each step, then write the final answer.
    Part4?Whole5100× ?× ?

    Write 4/5 as a decimal.

    Show your work

    Hint 5 × 20 = 100. Make a fraction out of 100 first.

    Final answer:
  3. 3Complete each step, then write the final answer.
    Part7?Whole20100× ?× ?

    Write 7/20 as a percent.

    Show your work

    Hint 20 × 5 = 100. Multiply the numerator by 5 too.

    Final answer:
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 4.2Compare and Order

Apply Day · Version BCore practice

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

Learning target I can write equivalent fractions, decimals, and percents for the same value.

  1. 1Complete each step, then write the final answer.
    Part0.6?Whole1100× ?× ?

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

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Part3?Whole401÷ ?÷ ?

    Write 3/40 as a decimal.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Part11?Whole20100× ?× ?

    Write 11/20 as a percent.

    Show your work
    Final answer:
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 4.2Compare and Order

Apply Day · ChallengeExtension

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

Learning target I can write equivalent fractions, decimals, and percents for the same value.

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

    What is the fraction 7/20 written as a decimal and as a percent?

    1. A0.035 and 3.5%
    2. B0.35 and 35%
    3. C0.35 and 3.5%
    4. D0.7 and 70%
    Show your work
  2. 2Complete each step, then write the final answer.
    Part1?Whole4100× ?× ?

    Lily says 1/4 is 0.4, because the 4 moves after the decimal point. Write 1/4 as a decimal.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Part5??Whole161100÷ ?÷ ?× ?× ?

    Write 5/16 as a percent.

    Show your work
    Final answer:
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