Fraction Adventure Time

Lesson Overview

Lesson Title: Combining Unit Fractions
Unit: Fraction Fun Explorations (Lesson 3 of 13)
Year Level: Years 3–4
Duration: 50 minutes
Curriculum Area: Mathematics
Specific Strand: Number and Algebra – Fractions and Decimals
Curriculum Codes:

• ACMNA058 (Year 3): Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their combinations in real-life situations.
• ACMNA077 (Year 4): Recognise common equivalent fractions in familiar contexts and make connections between fractions and division.

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Lesson Learning Intention

Students will understand how to combine unit fractions with the same denominator to make whole numbers, using hands-on manipulatives to explore and record their process.

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Success Criteria

By the end of the lesson, students will be able to:

✔ Accurately combine unit fractions (e.g., 1/4 + 1/4 + 1/4 + 1/4 = 1)
✔ Use concrete materials to model their understanding
✔ Explain their thinking using fraction language
✔ Record combinations correctly using fraction notation

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Materials Needed

• Plastic fraction tiles or fraction circles (enough for pairs or small groups)
• Whiteboards and markers
• Fraction dominoes set (DIY printable set made by teacher before class)
• “Fraction Pizza” placemats – laminated visuals with pizzas divided into equal parts
• Student reflection journals
• Small whiteboard per group
• Sticky notes

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Lesson Sequence

Warm-Up (10 mins): Fraction Freeze!

Purpose: Activate prior knowledge and energise bodies and minds.

1. Set up each student's desk with a number card (1/2, 1/4, 1/3, 1/5).
2. Play upbeat music. Students move freely. When the music stops, you call out a whole number (e.g., 1).
3. Children must group together with others so the sum of their unit fractions equals one whole (e.g., four students with 1/4 cards).
4. Groups explain how they created a whole. Move quickly through 2–3 rounds.

Challenge: Can they make 2 wholes? (e.g., eight children with 1/4 cards.)

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Explicit Teaching (10 mins): Mini-Lesson on Combining

Teacher Modelling with Fraction Tiles

• Begin with a large demonstration fraction circle. Ask: "If I have one quarter of a pizza, how many more do I need to make a whole?"
• Add 1/4 pieces until a whole is built.
• Record: 1/4 + 1/4 + 1/4 + 1/4 = 1
• Repeat using 1/3 and 1/5.
• Emphasise that all parts must have equal denominators to combine like this.

Flash Tip: Show how 1/2 + 1/4 + 1/4 = 1. Although denominators differ, these can still be combined to form a whole. Students don't need to formally convert denominators at this level but can see the concept.

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Group Activity (15 mins): Hands-On Fraction Builders

Fraction Pizza Challenge

1. In groups of 4–5, students receive a “Fraction Pizza” placemat and a pack of fraction tiles or circles.
2. Challenge: Cover the pizza fully using only pieces of the same kind. Then see how many different sets of fractions can make one full pizza – record each combination on a whiteboard.
3. Students record number sentences as they go (e.g., 1/3 + 1/3 + 1/3 = 1).

Extension: Can they make 1½ pizzas? Ethically challenging! Ask better mathematicians how many eighths that would require.

🎯 Differentiation:

• Support: Students can use marked visuals with colour-coded fractions.
• Extend: Ask students to create a “Fraction Recipe” using a certain number of wholes with different unit fractions.

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Game Time (10 mins): Fraction Dominoes

Purpose: Reinforce combinations of fractions into whole numbers

• Each pair of students receives a set of fraction dominoes.
• On one side of the domino is a fraction (e.g., 1/2), and on the other side is a number sentence or equivalent fraction needed to complete one whole (e.g., 1/2).
• Students must match dominoes to form complete wholes.

Add in a mystery “wild” domino that lets them creatively explain how it might fit!

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Reflection & Journaling (5 mins): Sticky Note Exit

On a sticky note, students answer:

✍️ "Today I learned that…"

You could prompt with:

• What did you find tricky?
• What is your favourite unit fraction and why?
• How did using the tiles/circles help your understanding?

Students place their sticky note in the Fraction Journal Wall before leaving or paste into their individual journals.

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Assessment Opportunities

• Anecdotal notes during group work and games
• Observation of verbal reasoning during warm-up and hands-on tasks
• Photographs of student work (e.g., whiteboards, pizza models)
• Review of exit sticky note reflections

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Adjustments for Diverse Learners

• EAL learners: Use visual prompts, sentence stems (“I used __ to make a whole”).
• Students with specific learning needs: Provide scaffolded fraction templates and chunk tasks with clearly defined steps.
• Fast finishers: Encourage them to explore making wholes with two different unit fractions (e.g., 1/2 + 1/4 + 1/4 = 1).

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Teacher Reflection Prompt (Post-Lesson)

How confident were students in explaining their reasoning when combining fractions? Did the manipulatives support deeper understanding? What do I need to reteach or extend next lesson?

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Looking Ahead

In Lesson 4, students will delve into equivalent fractions using area models, thinking deeply about how different combinations can represent the same amount.

Let’s get ready for more fraction fun – the journey continues! 🟨🟥🟦