Mathematics · Class 3

Active learning ideas

Introduction to Fractions: Parts of a Whole

Active learning works because fractions are abstract until students see them in real objects. When children handle food like chapatis or sweets, the idea of equal parts and sharing becomes meaningful. Movement and discussion help students move from guessing to reasoning about fractions with confidence.

• CBSE Learning Outcomes
• CBSE Syllabus Class 3: Numbers and Operations - Identifies a fraction as a part of a whole.
• CBSE Syllabus Class 3: Numbers and Operations - Identifies half, one-fourth, and three-fourths of a whole.
• NEP 2020: Foundational Numeracy - Develops an initial understanding of fractions.

• 15–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Placemat Activity
• 25 min · Pairs

Pair Share: Fraction Chapati

Pairs draw circles as chapatis on paper, divide them into 2, 3, or 4 equal parts using rulers, then shade the given fraction like 2/3. They label numerator and denominator, then explain to their partner why the parts are equal. Swap papers to check each other's work.

Explain how a fraction represents a part of a whole or a collection.

Facilitation Tip

During Pair Share: Fraction Chapati, give each pair exactly two chapatis so they must divide them equally before shading parts.

What to look for

Give students a paper with a circle divided into 4 equal parts and another with 6 equal parts. Ask them to shade 3 parts of the circle divided into 4 and write the fraction. Then, ask them to write the fraction for 2 shaded parts out of 6.

• Understand
• Analyze
• Evaluate
• Self-Awareness
• Relationship Skills

Activity 02

• Placemat Activity
• 35 min · Small Groups

Small Groups: Sweet Sharing

Provide bags of 12 identical sweets per group. Students share into equal groups of 2, 3, or 4, representing fractions like 3/4 of the sweets taken. Record with drawings and discuss collections versus wholes. Groups present one model to the class.

Differentiate between the numerator and the denominator of a fraction.

Facilitation Tip

In Small Groups: Sweet Sharing, provide wrapped sweets so students must physically group and count equal sets before naming the fraction.

What to look for

Show students flashcards with different visual representations of fractions (e.g., a rectangle with 2 out of 5 parts shaded). Ask students to hold up fingers to show the numerator and then the denominator of the fraction represented.

• Understand
• Analyze
• Evaluate
• Self-Awareness
• Relationship Skills

Activity 03

• Placemat Activity
• 20 min · Whole Class

Whole Class: Fraction Fold

Distribute square papers to all. Teacher calls fractions like 1/2 or 3/4; students fold and shade accordingly. Hold up to compare. Discuss observations on equal parts and numerators.

Construct a visual model to represent a given fraction.

Facilitation Tip

In Whole Class: Fraction Fold, distribute different-sized papers so students notice that folding must create equal parts regardless of paper size.

What to look for

Present a scenario: 'Rohan has 8 marbles and gives 3 to his friend. How can we write the fraction of marbles Rohan gave away? What does the top number tell us? What does the bottom number tell us?' Facilitate a class discussion.

• Understand
• Analyze
• Evaluate
• Self-Awareness
• Relationship Skills

Activity 04

• Placemat Activity
• 15 min · Individual

Individual: Model Maker

Each student selects an object like a pencil or eraser, draws it divided into 4 parts, shades 1 or 2, and writes the fraction. Collect and display for peer review.

Explain how a fraction represents a part of a whole or a collection.

What to look for

Give students a paper with a circle divided into 4 equal parts and another with 6 equal parts. Ask them to shade 3 parts of the circle divided into 4 and write the fraction. Then, ask them to write the fraction for 2 shaded parts out of 6.

• Understand
• Analyze
• Evaluate
• Self-Awareness
• Relationship Skills

A few notes on teaching this unit

Teachers should start with food and familiar objects before moving to paper shapes. Avoid rushing to symbols; spend time on the language of fractions—saying ‘one part out of four’ aloud helps internalise meaning. Research shows that students who fold paper or share items understand fractions more deeply than those who only colour pre-divided shapes.

Students will correctly name fractions using numerator and denominator and explain why parts must be equal. They will use visual models and collections to represent fractions accurately and explain their thinking to peers with clear reasoning.

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Watch Out for These Misconceptions

• During Pair Share: Fraction Chapati, watch for students who shade unequal parts or count the total chapatis instead of parts within one chapati.

  Ask them to fold the chapati into four equal folds before shading and to count the shaded parts inside one chapati, not the number of chapatis.

• During Small Groups: Sweet Sharing, watch for students who group sweets by colour or size instead of counting equal parts in a set.

  Remind them to separate sweets into equal groups first, then name the fraction by counting one group out of the total.

• During Whole Class: Fraction Fold, watch for students who fold paper unevenly or believe the size of the paper changes the fraction.

  Have them unfold and refold to check equality, then compare folded halves from different-size papers to see that 1/2 remains the same.

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Methods used in this brief

• Placemat Activity