Mathematics · Grade 3

Active learning ideas

Fractions Review

Active learning engages students physically and visually with fractions, turning abstract symbols into concrete experiences. When children fold paper, move along number lines, or share objects, they build mental models that persist longer than worksheets alone. This hands-on approach supports students who learn by doing, seeing, and talking through their reasoning.

• Ontario Curriculum Expectations
• 3.NF.A.1
• 3.NF.A.2.A
• 3.NF.A.3.A

• 20–40 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Inside-Outside Circle
• 35 min · Pairs

Partner Fold: Equivalent Fraction Quilts

Pairs fold square papers into halves, then quarters and eighths, shading to show equivalents like 2/4 = 4/8. They tape pieces into a class quilt, labeling fractions. Discuss why subdivided parts match originals.

Explain how fractions represent parts of a whole or a set.

Facilitation Tip

During Partner Fold, circulate and ask pairs to explain how folding the same strip into 2 and 4 parts shows the same amount, not a bigger one.

What to look for

Provide students with a rectangle divided into 6 equal parts. Ask them to shade 2/3 of the rectangle and write one sentence explaining why their shaded portion represents 2/3.

• Remember
• Understand
• Apply
• Relationship Skills
• Self-Management

Activity 02

• Inside-Outside Circle
• 25 min · Whole Class

Number Line March: Whole Class

Mark a floor number line from 0 to 1 with tape. Call fractions; students hold cards and walk to positions. Pairs justify placements, then sequence cards like 1/4, 1/2, 3/4.

Analyze the importance of equal parts when working with fractions.

Facilitation Tip

For Number Line March, pause after each step to ask students to justify their partner's jump position using fraction language.

What to look for

Draw a number line from 0 to 1 on the board. Ask students to hold up fingers to indicate where 1/2 would be placed. Then, ask them to show where 1/4 and 3/4 would be placed, discussing the reasoning for each placement.

• Remember
• Understand
• Apply
• Relationship Skills
• Self-Management

Activity 03

• Inside-Outside Circle
• 40 min · Small Groups

Set Sharing Stations: Small Groups

Groups rotate stations with objects like counters or linking cubes. Divide sets into equal parts for fractions like 3/5, record with drawings. Compare wholes across stations.

Construct a visual model to demonstrate equivalent fractions.

Facilitation Tip

In Set Sharing Stations, listen for students to describe how dividing 6 counters into 3 groups shows each group as 1/3 of the whole set.

What to look for

Present two different visual models of 1/2, one made of 2 equal parts and one made of 4 equal parts. Ask students: 'Are both of these models showing 1/2? How do you know? What is important about the parts in each model?'

• Remember
• Understand
• Apply
• Relationship Skills
• Self-Management

Activity 04

• Inside-Outside Circle
• 20 min · Pairs

Fraction Match Game: Pairs

Pairs draw cards with fraction names, visuals, and number line points, matching equivalents. First to sets of three wins a point. Switch roles midway.

Explain how fractions represent parts of a whole or a set.

What to look for

Provide students with a rectangle divided into 6 equal parts. Ask them to shade 2/3 of the rectangle and write one sentence explaining why their shaded portion represents 2/3.

• Remember
• Understand
• Apply
• Relationship Skills
• Self-Management

A few notes on teaching this unit

Teach fractions by connecting symbols to real actions: folding, cutting, walking, and sharing. Avoid starting with rules like 'bigger denominator means smaller piece' without visual proof. Use student talk to uncover misconceptions, then guide them to resolve confusion through hands-on work. Research shows that students who manipulate materials and explain their thinking develop stronger conceptual understanding than those who only memorize steps.

By the end of the unit, students can define the whole, partition it accurately, and represent fractions on models and number lines. They explain equivalent fractions using visual evidence and recognize that larger denominators mean smaller parts of the same whole. Clear explanations, not just correct answers, show true understanding.

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Watch Out for These Misconceptions

• During Set Sharing Stations, watch for students who say sharing 8 candies among 4 friends means each friend gets a part of the candies but not 2/8.

  Pause the activity and ask students to write the fraction 8 divided by 4 equals 2, so each friend gets 2 out of 8 candies, or 2/8. Use the manipulatives to count and verify together.

• During Partner Fold, watch for students who believe 1/4 is larger than 1/2 because 4 is a bigger number.

  Have students compare their folded strips side by side on the same whole strip, counting the equal parts to see that more parts mean smaller pieces. Ask them to explain why 1 out of 2 parts is larger than 1 out of 4 parts.

• During Fraction Match Game, watch for students who think 2/4 and 3/6 are different because the denominators are different.

  Prompt students to lay matching fraction pieces on top of each other to prove they cover the same amount of space. Ask them to explain why both models show the same fraction of the whole and what 'equivalent' means in their own words.

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Methods used in this brief

• Inside-Outside Circle