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Fraction, Decimal, and Percent Equivalents

Sixth graders discover that one-half, 0.5, and 50 percent are three ways of writing the same amount, and match common benchmark values across fractions, decimals, and percents.

Grade 6Fraction, Decimal, and Percent Equivalents55 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
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Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓See one amount, three forms.
  • ✓Convert among the forms.
  • ✓Know the benchmarks.
  • ✓Match each value.
Essential Question

A score of one-half, 0.5, and 50 percent all mean the same thing. Why three ways to write one amount, and how do you move between them?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Match the Value · Interactive

Match the Value

Project this and match each fraction to the same value written as a decimal and a percent — tap a fraction, then tap its equivalents.

🔢 Match each value across its three formsTry it
Fraction
Decimal and percent
Tap a fraction, then tap its equal decimal and percent.
The Lesson · Gradual Release (I Do · We Do · You Do)

55 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Hook — Same Amount, Three Names

5 min

A test score of one-half, 0.5, and 50 percent all mean the same thing. Why do we have three ways to write one amount, and how do they connect?

👩‍🏫 Teacher Moves

  • Show 1/2, 0.5, 50%.
  • Ask if they are equal.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Match the Value

12 min

Students match values across the three forms.

👩‍🏫 Teacher Moves

  • Send students to Match the Value.
  • Match each pair.
  • Note the equivalents.

🎒 Student Actions

  • Match.
  • Say.
  • Note it.
3

Modify — Convert It

13 min

Students convert among the forms.

👩‍🏫 Teacher Moves

  • Pick a fraction.
  • Write it as a decimal.
  • Write it as a percent.

🎒 Student Actions

  • Pick.
  • Write.
  • Write.
4

Create — An Equivalents Chart

15 min

Students build a conversion chart.

👩‍🏫 Teacher Moves

  • List five common fractions.
  • Add each as a decimal.
  • Add each as a percent.

🎒 Student Actions

  • List.
  • Add.
  • Add.
5

Reflect — Three Ways, One Value

5 min

Students reflect on equivalents.

👩‍🏫 Teacher Moves

  • How do you turn a fraction into a decimal?
  • What percent equals three-quarters?
  • Complete the exit ticket.

🎒 Student Actions

  • Say it.
  • Say it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics (High School Algebra II).

CCSS
6.RP.A.3.C

Find a percent of a quantity as a rate per 100 and solve problems involving finding the whole given a part and the percent.

CCSS
7.NS.A.2.D

Convert a rational number to a decimal using long division.

CCSS
4.NF.C.6

Use decimal notation for fractions with denominators 10 or 100.

CCSS
MP.2

Reason abstractly and quantitatively.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Value cards in all three forms.
  • Sentence frame: “___ equals ___ equals ___ .”
  • Match one value at a time.

Support & Access

IEP / 504
  • Start with 1/2 and 1/4.
  • Use a 10-by-10 grid to shade each value.
  • Match one form fully before the next.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Convert fractions with denominators like 8 or 3.
  • Order a mixed set from least to greatest.
  • Explain repeating decimals like 1/3.
Materials

What to gather

  • 📽️Projector / board
  • 🔢Value cards
  • 💻Match the Value
  • 📐10-by-10 grids
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

fractiona number that shows parts of a whole, like 3/4decimala number that uses place value after a point, like 0.75percenta number out of 100, shown with a % signequivalenthaving the same value, in a different formnumeratorthe top number of a fractiondenominatorthe bottom number of a fractionconvertto rewrite a number in a different but equal formbenchmarka common, easy-to-know value like 1/2 or 25%
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
How do you turn a fraction into a decimal?
Divide the numerator by the denominator (for example, 3 divided by 4 is 0.75).
QUESTION 2
What percent is equal to three-quarters (3/4)?
75 percent.
QUESTION 3
Write one-half as a decimal and a percent.
0.5 and 50 percent.

Create: an equivalents chart.

Have students list five common fractions and write each as a decimal and a percent, so the three forms line up at a glance. A printable equivalents worksheet is in the Mathematics library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Fraction, Decimal, and Percent EquivalentsFlip
Card 1
Term
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Meaning
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Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Fraction, Decimal, and Percent EquivalentsQuiz
Score: 0
1 / 6
Question 1
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Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Fraction, Decimal, and Percent EquivalentsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: benchmark, convert, decimal, denominator, equivalent, fraction, numerator, percent
  1. having the same value, in a different form
  2. the top number of a fraction
  3. to rewrite a number in a different but equal form
  4. a common, easy-to-know value like 1/2 or 25%
  5. a number out of 100, shown with a % sign
  6. the bottom number of a fraction
  7. a number that shows parts of a whole, like 3/4
  8. a number that uses place value after a point, like 0.75

Part B · Show what you learned

  1. How do you turn a fraction into a decimal?
  2. What percent is equal to three-quarters (3/4)?
  3. Write one-half as a decimal and a percent.
Answer key — Part A: 1) equivalent · 2) numerator · 3) convert · 4) benchmark · 5) percent · 6) denominator · 7) fraction · 8) decimal
Part B: 1) Divide the numerator by the denominator (for example, 3 divided by 4 is 0.75). 2) 75 percent. 3) 0.5 and 50 percent.