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Understanding Fractions

Third graders discover that a fraction is a way to name equal parts of something, learning what the top and bottom numbers mean and how to picture a fraction as part of a whole, a set, or a point on a line.

Grade 3Understanding Fractions50 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…

  • ✓Know a fraction is equal parts.
  • ✓Read the numerator & denominator.
  • ✓Name unit fractions.
  • ✓Picture a fraction.
Essential Question

One pizza, four friends, everyone wants a fair share. The name for each piece is a fraction. What do the top and bottom numbers really mean?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Explore Fractions · Interactive

Explore Fractions

Project this and open each card to explore what a fraction is, what its numbers mean, and how to picture it.

🍕 Explore what a fraction really meansTry it

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

50 minutes, five moves

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

1

Hook — Sharing Fairly

5 min

One pizza, four friends, everyone wants a fair share. How do you name the piece each person gets? That name is a fraction. What does it really mean?

👩‍🏫 Teacher Moves

  • Show a pizza cut in four.
  • Ask what one piece is called.
  • Set the goal.

🎒 Student Actions

  • Think.
  • Share.
  • Get ready.
2

Use — Explore Fractions

12 min

Students explore what a fraction is.

👩‍🏫 Teacher Moves

  • Send students to Explore Fractions.
  • Open each card.
  • Note the ideas.

🎒 Student Actions

  • Explore.
  • Read.
  • Note it.
3

Modify — Name the Fraction

13 min

Students name fractions from pictures.

👩‍🏫 Teacher Moves

  • Show a shaded shape.
  • Name the fraction.
  • Say the numerator and denominator.

🎒 Student Actions

  • Show.
  • Name.
  • Say.
4

Create — My Fraction Poster

15 min

Students draw fractions.

👩‍🏫 Teacher Moves

  • Draw a whole split into equal parts.
  • Shade a fraction.
  • Label its top and bottom numbers.

🎒 Student Actions

  • Draw.
  • Shade.
  • Label.
5

Reflect — Equal Parts

5 min

Students reflect on fractions.

👩‍🏫 Teacher Moves

  • What does the bottom number of a fraction tell you?
  • Why must the parts be equal?
  • 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.

CCSS
3.NF.A.1

Understand a fraction as the quantity formed by parts of a whole split into equal parts.

CCSS
3.NF.A.2

Understand a fraction as a number on the number line.

CCSS
2.G.A.3

Partition shapes into equal shares and describe them as halves, thirds, fourths.

CCSS
MP.7

Look for and make use of structure.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Fraction picture cards.
  • Sentence frame: “___ out of ___ equal parts is ___ .”
  • Explore one card at a time.

Support & Access

IEP / 504
  • Start with halves and fourths.
  • Fold paper to make equal parts.
  • Explore one idea before the next.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Place several fractions on a number line.
  • Compare 1/3 and 1/4 with pictures.
  • Explain why more parts means smaller pieces.
Materials

What to gather

  • 📽️Projector / board
  • 🥧Fraction circles or strips
  • 💻Explore Fractions
  • 📏A number line
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

fractiona number that names equal parts of a whole or a setnumeratorthe top number, how many parts you havedenominatorthe bottom number, how many equal parts in allequal partsparts that are all the same sizeunit fractiona fraction with 1 on top, like 1/2 or 1/4wholethe complete thing being split into partshalfone of two equal parts, 1/2number linea line showing numbers in order, including fractions
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
What does the bottom number of a fraction tell you?
The denominator tells how many equal parts the whole is split into.
QUESTION 2
Why must the parts of a fraction be equal?
A fraction names equal shares, so the parts have to be the same size to be true fourths, thirds, or halves.
QUESTION 3
In the fraction 3/4, what does the 3 mean?
It is the numerator, telling you that you have 3 of the 4 equal parts.

Create: my fraction poster.

Have students draw a whole split into equal parts, shade a fraction, and label its numerator and denominator, so the idea of equal parts becomes something they can see. A printable fractions 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.

🃏 Understanding FractionsFlip
Card 1
Term
Tap to flip →
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
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.

🖨️ Understanding FractionsPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: denominator, equal parts, fraction, half, number line, numerator, unit fraction, whole
  1. parts that are all the same size
  2. a fraction with 1 on top, like 1/2 or 1/4
  3. one of two equal parts, 1/2
  4. a line showing numbers in order, including fractions
  5. the bottom number, how many equal parts in all
  6. the complete thing being split into parts
  7. a number that names equal parts of a whole or a set
  8. the top number, how many parts you have

Part B · Show what you learned

  1. What does the bottom number of a fraction tell you?
  2. Why must the parts of a fraction be equal?
  3. In the fraction 3/4, what does the 3 mean?
Answer key — Part A: 1) equal parts · 2) unit fraction · 3) half · 4) number line · 5) denominator · 6) whole · 7) fraction · 8) numerator
Part B: 1) The denominator tells how many equal parts the whole is split into. 2) A fraction names equal shares, so the parts have to be the same size to be true fourths, thirds, or halves. 3) It is the numerator, telling you that you have 3 of the 4 equal parts.