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Multiplying a Fraction by a Whole Number

Fourth graders learn to multiply a fraction by a whole number — discovering that 3 × 1/4 just means three copies of 1/4, which equals 3/4 — because multiplying is repeated addition.

Grade 4Fractions50 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…

  • ✓Multiply a fraction by a whole number.
  • ✓See it as repeated addition.
  • ✓Model n × 1/b.
  • ✓Find the product.
Essential Question

You know 3 × 4 means three groups of 4. So what does 3 × 1/4 mean? Three copies of one-fourth!

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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

Copies of a Fraction

Project this and change how many copies and the fraction. Watch the shaded parts add up — n copies of 1/d is n/d!

✖️ Multiply a fraction by a whole numberTry it
How many copies: 3
Fraction 1/4

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 — Copies of a Fraction

5 min

3 × 4 is three groups of 4 — so what is 3 × 1/4?

👩‍🏫 Teacher Moves

  • Recall groups of whole numbers.
  • Ask about groups of a fraction.
  • Set the goal: multiplying fractions.

🎒 Student Actions

  • Recall groups.
  • Wonder about fractions.
  • Predict the idea.
2

I Do — Repeated Fractions

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Show 1/4 + 1/4 + 1/4.
  • Write it as 3 × 1/4.
  • Find the product 3/4.

🎒 Student Actions

  • See the copies.
  • Write it.
  • Find the product.
3

We Do — Model Together

13 min

Class uses Copies of a Fraction.

👩‍🏫 Teacher Moves

  • Change copies and fraction.
  • Read the product.
  • Note more than one whole.

🎒 Student Actions

  • Set the values.
  • Read it.
  • Note wholes.
4

You Do — On Your Own

12 min

Students multiply.

👩‍🏫 Teacher Moves

  • Multiply fractions by whole numbers.
  • Model each with bars.
  • Solve a word problem.

🎒 Student Actions

  • Multiply them.
  • Model them.
  • Solve one.
5

Close — Close

5 min

One product.

👩‍🏫 Teacher Moves

  • Give n × 1/b.
  • Find the product.
  • Hand out the exit ticket.

🎒 Student Actions

  • Find it.
  • Model it.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics.

CCSS
4.NF.4

Multiply a fraction by a whole number.

CCSS
4.NF.4a

Understand a fraction a/b as a multiple of 1/b.

CCSS
4.NF.4c

Solve word problems involving multiplication of a fraction by a whole number.

SMP
MP.4

Model fraction multiplication with drawings.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Use fraction-bar models.
  • Sentence frame: “___ copies of 1/___ is ___.”
  • Shade the parts.

Support & Access

IEP / 504
  • Start with unit fractions.
  • Use physical fraction strips.
  • Count the shaded parts.

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Multiply a non-unit fraction.
  • Write the product as a mixed number.
  • Solve a real problem.
Materials

What to gather

  • 📽️Projector / board
  • 📏Fraction strips
  • 💻Copies of a Fraction
  • 📐Grid paper
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

fractiona number for equal parts of a wholewhole numbera counting number (0, 1, 2…)numeratorthe top numberdenominatorthe bottom numberunit fractiona fraction with 1 on topmultiplea number times anotherproductthe answer to multiplicationrepeated additionadding the same amount again
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 is 4 × 1/5?
4/5 (four copies of one-fifth).
QUESTION 2
How is 3 × 1/8 the same as an addition?
It equals 1/8 + 1/8 + 1/8.
QUESTION 3
What is 5 × 1/3? (as an improper fraction)
5/3 (which is more than one whole).

Going deeper? More than one whole.

Have students multiply to get products greater than 1 (like 5 × 1/4 = 5/4) and rewrite them as mixed numbers. A printable fraction 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.

🃏 Multiplying Fractions by Whole NumbersFlip
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.

📝 Multiplying Fractions by Whole NumbersQuiz
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.

🖨️ Multiplying Fractions by Whole NumbersPrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: denominator, fraction, multiple, numerator, product, repeated addition, unit fraction, whole number
  1. adding the same amount again
  2. the bottom number
  3. the answer to multiplication
  4. a number for equal parts of a whole
  5. a counting number (0, 1, 2…)
  6. the top number
  7. a number times another
  8. a fraction with 1 on top

Part B · Show what you learned

  1. What is 4 × 1/5?
  2. How is 3 × 1/8 the same as an addition?
  3. What is 5 × 1/3? (as an improper fraction)
Answer key — Part A: 1) repeated addition · 2) denominator · 3) product · 4) fraction · 5) whole number · 6) numerator · 7) multiple · 8) unit fraction
Part B: 1) 4/5 (four copies of one-fifth). 2) It equals 1/8 + 1/8 + 1/8. 3) 5/3 (which is more than one whole).