Home›Lesson Plans›Mathematics›Number & Operations—Fractions · Grade 3

Understanding Fractions: Equal Parts of a Whole

Students shade fraction bars to see that a fraction is simply a number of equal parts — and discover why more parts means smaller pieces.

Grade 3Fractions45 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…

  • ✓Explain a fraction as a number of equal parts of a whole.
  • ✓Identify the numerator and denominator and what each means.
  • ✓Model fractions on a bar and compare their sizes.
  • ✓Recognize when a fraction equals one whole.
Essential Question

If you cut a pizza into more slices, does each slice get bigger or smaller? And what does the bottom number of a fraction really tell you?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Model · Interactive Tool

The Fraction Bar

Project this and change the parts. Shade the numerator, split the whole into more parts, and have students watch what happens to the size of each piece.

🍟 Shade the bar — build any fractionTry it
Parts shaded (numerator)1
Equal parts (denominator)4

The Lesson · Gradual Release (I Do · We Do · You Do)

45 minutes, five moves

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

1

Launch — The Pizza Cut

5 min

More slices — bigger or smaller pieces?

👩‍🏫 Teacher Moves

  • Show a pizza cut into 2, then 4, then 8.
  • Ask what happens to each slice’s size.
  • Set the goal: fractions are equal parts.

🎒 Student Actions

  • Predict how slice size changes.
  • Explain “equal parts.”
  • Guess what a fraction shows.
2

I Do — Name the Parts

10 min

Teacher shades 3/4 and names each number.

👩‍🏫 Teacher Moves

  • Draw a bar in 4 equal parts; shade 3.
  • Write 3/4; name numerator and denominator.
  • Stress the parts must be equal.

🎒 Student Actions

  • Copy the shaded bar.
  • Label numerator and denominator.
  • Read “three-fourths” aloud.
3

We Do — Build Together

12 min

Class drives the Fraction Bar.

👩‍🏫 Teacher Moves

  • Use the Fraction Bar to build fractions.
  • Add more parts and watch pieces shrink.
  • Shade until the fraction equals one whole.

🎒 Student Actions

  • Call out fractions to build.
  • Notice bigger denominator = smaller parts.
  • Find a fraction equal to 1 whole.
4

You Do — On Your Own

13 min

Students draw and label fractions.

👩‍🏫 Teacher Moves

  • Assign fraction bars to shade and name.
  • Include comparing two fractions.
  • Check equal-parts understanding.

🎒 Student Actions

  • Draw and shade their own fractions.
  • Compare two fractions by size.
  • Write each in numerator/denominator form.
5

Close — One Whole

5 min

Revisit the pizza — write it as a fraction.

👩‍🏫 Teacher Moves

  • Return to the pizza question.
  • Have students write a fraction for it.
  • Hand out the exit ticket.

🎒 Student Actions

  • Write a fraction for pizza slices.
  • Explain smaller pieces with more parts.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics, including the Standards for Mathematical Practice.

CCSS
3.NF.A.1

Understand a fraction 1/b as one part when a whole is partitioned into b equal parts; a/b as a parts of size 1/b.

CCSS
3.NF.A.2

Understand a fraction as a number on the number line; represent fractions on a number line diagram.

CCSS
3.NF.A.3

Explain equivalence of fractions and compare fractions by reasoning about their size.

SMP
MP.7

Look for and make use of structure — students use equal parts to reason about fraction size.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Fraction tiles or paper strips to fold.
  • Sentence frame: “___ out of ___ equal parts.”
  • Read fraction words aloud together.

Support & Access

IEP / 504
  • Start with halves and fourths only.
  • Provide pre-partitioned bars to shade.
  • Use paper folding before the on-screen bar.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Find equivalent fractions (1/2 = 2/4).
  • Place fractions on a number line.
  • Compare fractions with the same numerator.
Materials

What to gather

  • 📽️Projector / board
  • 📓Math notebooks
  • 💻The Fraction Bar
  • 📏Paper fraction strips
  • ✏️Colored pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

fractiona number of equal partsnumeratortop number — parts you havedenominatorbottom number — total equal partswholethe complete object or setequal partsparts of the same sizehalfone of two equal partsfourthone of four equal partsequivalentfractions equal in size
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
In the fraction 3/5, what does the 5 tell you, and what does the 3 tell you?
The 5 (denominator) tells how many equal parts the whole is split into; the 3 (numerator) tells how many of those parts you have.
QUESTION 2
You cut a cake into 8 equal pieces instead of 4. Are the pieces bigger or smaller? Why?
Smaller — the more equal parts you split the whole into, the smaller each part becomes.
QUESTION 3
Write a fraction that equals one whole.
Any fraction where the numerator equals the denominator, such as 4/4, 5/5, or 8/8.

Going deeper? Build a fraction wall.

Have students fold strips into halves, thirds, fourths, and eighths, stack them, and discover equivalent fractions by lining them up. A printable fraction-strip template is in the Math 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.

🃏 Understanding FractionsFlip
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.

📝 Understanding FractionsQuiz
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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.

🖨️ Understanding FractionsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: denominator, equal parts, equivalent, fourth, fraction, half, numerator, whole
  1. one of two equal parts
  2. a number of equal parts
  3. bottom number — total equal parts
  4. parts of the same size
  5. fractions equal in size
  6. one of four equal parts
  7. the complete object or set
  8. top number — parts you have

Part B · Show what you learned

  1. In the fraction 3/5, what does the 5 tell you, and what does the 3 tell you?
  2. You cut a cake into 8 equal pieces instead of 4. Are the pieces bigger or smaller? Why?
  3. Write a fraction that equals one whole.
Answer key — Part A: 1) half · 2) fraction · 3) denominator · 4) equal parts · 5) equivalent · 6) fourth · 7) whole · 8) numerator
Part B: 1) The 5 (denominator) tells how many equal parts the whole is split into; the 3 (numerator) tells how many of those parts you have. 2) Smaller — the more equal parts you split the whole into, the smaller each part becomes. 3) Any fraction where the numerator equals the denominator, such as 4/4, 5/5, or 8/8.