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Fractions on a Number Line

Third graders learn that fractions are numbers with a place on the number line — splitting the space from 0 to 1 into equal parts and finding fractions like 3/4 exactly where they belong.

Grade 3Fractions50 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
Start the Lesson
Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Split 0 to 1 into equal parts.
  • ✓Place a fraction on a number line.
  • ✓Explain the top and bottom numbers.
  • ✓Read a fraction’s position.
Essential Question

You know fractions can be parts of a pizza — but did you know they’re also numbers that live on a number line, between 0 and 1?

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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

Fractions on the Line

Project this and change the parts and the count. Watch the fraction appear at exactly the right spot between 0 and 1!

📏 Place a fraction on the number line!Try it
Parts (bottom): 4
Count (top): 3

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

Launch — More Than Pizza

5 min

Fractions are parts of a whole — but are they numbers too?

👩‍🏫 Teacher Moves

  • Recall fractions as pizza slices.
  • Show a number line 0 to 1.
  • Set the goal: fractions on a line.

🎒 Student Actions

  • Recall pizza.
  • See the line.
  • Predict the idea.
2

I Do — Split the Line

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Split 0 to 1 into equal parts.
  • Count parts to a fraction.
  • Mark the point.

🎒 Student Actions

  • Split the line.
  • Count parts.
  • Mark it.
3

We Do — Place Together

13 min

Class uses Fractions on the Line.

👩‍🏫 Teacher Moves

  • Set the parts and count.
  • Read the fraction.
  • Explain top and bottom.

🎒 Student Actions

  • Set the fraction.
  • Read it.
  • Explain it.
4

You Do — On Your Own

12 min

Students place fractions.

👩‍🏫 Teacher Moves

  • Place fractions on number lines.
  • Label the parts.
  • Compare positions.

🎒 Student Actions

  • Place fractions.
  • Label parts.
  • Compare them.
5

Close — Close

5 min

One fraction.

👩‍🏫 Teacher Moves

  • Give a fraction to place.
  • Mark it on the line.
  • Hand out the exit ticket.

🎒 Student Actions

  • Place it.
  • Explain 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.2

Understand a fraction as a number on the number line.

CCSS
3.NF.2a

Represent a fraction 1/b on a number line by partitioning 0 to 1.

CCSS
3.NF.2b

Represent a fraction a/b on a number line.

CCSS
3.NF.1

Understand a fraction as parts of a whole.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Label each tick as a fraction.
  • Sentence frame: “The bottom number is the equal parts.”
  • Fold a paper strip.

Support & Access

IEP / 504
  • Start with halves and fourths.
  • Use a folded number-line strip.
  • Count each part aloud.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Place fractions greater than 1.
  • Compare two fractions on a line.
  • Find equivalent fractions.
Materials

What to gather

  • 📽️Projector / board
  • 📏Number-line strips
  • 💻Fractions on the Line
  • 🖍️Pencils
  • 📄Fraction strips
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

fractiona number for equal parts of a wholenumeratorthe top number (how many parts)denominatorthe bottom number (equal parts in all)number linea line showing numbers in orderequal partspieces of the same sizewholeone complete unit (0 to 1)pointa spot on the number linepartitionto split into equal parts
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
On a number line from 0 to 1 split into 4 equal parts, where is 3/4?
At the third tick mark — three parts of the way from 0 to 1.
QUESTION 2
In the fraction 2/5, what does the bottom number (5) tell you?
The whole is split into 5 equal parts.
QUESTION 3
What does the top number of a fraction tell you?
How many of the equal parts you have (or count).

Going deeper? Past the whole.

Have students extend the number line past 1 and place fractions greater than 1, like 5/4. A printable number-line sheet 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.

🃏 Fractions on a Number LineFlip
Card 1
Term
Tap to flip →
Meaning
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Nice work!

Practice · Quiz

Check your understanding

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

📝 Fractions on a Number LineQuiz
Score: 0
1 / 6
Question 1
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Nice work!

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.

🖨️ Fractions on a Number LinePrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: denominator, equal parts, fraction, number line, numerator, partition, point, whole
  1. pieces of the same size
  2. a spot on the number line
  3. the bottom number (equal parts in all)
  4. a number for equal parts of a whole
  5. the top number (how many parts)
  6. a line showing numbers in order
  7. to split into equal parts
  8. one complete unit (0 to 1)

Part B · Show what you learned

  1. On a number line from 0 to 1 split into 4 equal parts, where is 3/4?
  2. In the fraction 2/5, what does the bottom number (5) tell you?
  3. What does the top number of a fraction tell you?
Answer key — Part A: 1) equal parts · 2) point · 3) denominator · 4) fraction · 5) numerator · 6) number line · 7) partition · 8) whole
Part B: 1) At the third tick mark — three parts of the way from 0 to 1. 2) The whole is split into 5 equal parts. 3) How many of the equal parts you have (or count).