Mathematics · Year 4

Active learning ideas

Understanding Unit and Non-Unit Fractions

Active learning helps Year 4 students grasp fractions by making abstract ideas concrete. Handling physical models and real objects lets children see how unit and non-unit fractions relate to equal parts of a whole, building confidence before moving to symbols.

• ACARA Content Descriptions
• AC9M4N05

• 25–45 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Experiential Learning
• 35 min · Pairs

Manipulative: Fraction Bar Builds

Provide fraction bars or strips precut into halves, thirds, and quarters. Pairs assemble wholes, shade one part for unit fractions like 1/3, then add parts for non-unit like 2/3. Partners label and compare models, noting numerator changes.

Differentiate between a unit fraction and a non-unit fraction.

Facilitation Tip

During Fraction Bar Builds, remind students to align unit pieces end-to-end to see how multiple parts form non-unit fractions like 3/4.

What to look for

Provide students with a worksheet showing several shaded shapes and number lines. Ask them to write the fraction represented by the shaded parts and label each fraction as either a unit or non-unit fraction. Include one question asking them to draw a model for 2/5.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 02

• Stations Rotation
• 45 min · Small Groups

Stations Rotation: Model Makers

Set up stations with circle templates, number lines, and counters. Small groups draw or mark unit fractions at one station, non-unit at others, rotating every 10 minutes. Each group records one example per model type on a shared chart.

Construct a visual model to represent a given non-unit fraction.

Facilitation Tip

In Model Makers, circulate to ensure pairs label each fraction clearly and trade models to check for accuracy.

What to look for

Hold up fraction cards (e.g., 1/3, 4/6, 1/8, 5/5). Ask students to signal with their fingers how many parts are shaded (numerator) and how many total parts there are (denominator). Then, ask them to state if it is a unit or non-unit fraction.

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

Activity 03

• Experiential Learning
• 30 min · Pairs

Real-World: Sharing Snacks

Distribute paper rectangles as 'snack bars' to pairs. Students fold and shade to show unit fractions like 1/6, then non-unit like 4/6. Discuss real sharing scenarios, such as dividing apples, and justify fraction names.

Explain how the numerator and denominator define a fraction.

Facilitation Tip

For Sharing Snacks, ask guiding questions like 'How many equal pieces did you start with?' to focus students on the denominator first.

What to look for

Pose the question: 'Imagine you have a pizza cut into 6 equal slices. If you eat 1 slice, what fraction of the pizza have you eaten? Is this a unit or non-unit fraction? What if you ate 3 slices? Explain how the numerator and denominator change and what that means for the amount of pizza eaten.'

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 04

• Experiential Learning
• 25 min · Whole Class

Whole Class: Fraction Line-Up

Mark a giant number line on the floor with tape. Call out fractions; students stand at positions for unit like 1/4 or non-unit like 3/4. Class discusses groupings and why certain spots are unit fractions.

Differentiate between a unit fraction and a non-unit fraction.

Facilitation Tip

In Fraction Line-Up, listen for students to explain their order by comparing both numerator and denominator, not just one part.

What to look for

Provide students with a worksheet showing several shaded shapes and number lines. Ask them to write the fraction represented by the shaded parts and label each fraction as either a unit or non-unit fraction. Include one question asking them to draw a model for 2/5.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

A few notes on teaching this unit

Start with concrete tools to build conceptual understanding. Move to visual models only after students can explain fractions with manipulatives. Avoid rushing to symbols—let children name fractions in their own words before formal notation. Research shows hands-on practice with real objects develops stronger fraction sense than worksheets alone.

Students will confidently name unit and non-unit fractions from visual models. They will explain why numerators matter and use materials to build or compare fractions accurately. Discussions will show clear understanding of parts and wholes.

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Watch Out for These Misconceptions

• During Model Makers, watch for students who label only unit fractions and skip non-unit fractions like 2/5 or 3/7.

  As students build models, ask them to name each fraction they create and explain whether it is unit or non-unit. If they miss non-unit fractions, prompt them to add more parts to their model and recount.

• During Fraction Bar Builds, watch for students who call the whole (1) a unit fraction because it is one whole shape.

  Have students build the whole using unit fraction pieces (e.g., four 1/4 bars). Then ask them to name the whole as 4/4 and explain why it is a non-unit fraction, focusing on the numerator being greater than one.

• During Fraction Line-Up, watch for students who assume 1/5 is always smaller than 4/5 without comparing their positions on the number line.

  Ask students to measure the distance from zero to each fraction using a ruler or string. Then have them explain why 1/5 might be larger than 4/6 in certain cases, using visual evidence from the line-up.

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Methods used in this brief

• Experiential Learning
• Stations Rotation