Exploring Simple Fractions

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Overview

Lesson Title: Introduction to Fractions
Year Level: Year 4
Lesson Duration: 45 minutes
Unit: Maths Mastery: Numbers & Fractions (Lesson 3 of 4)
Class Size: 24 students
Curriculum Link:
Australian Curriculum – Mathematics:

• Number and Algebra » Fractions and decimals » AC9M4N03
  Recall and extend the knowledge of equal parts to represent fractions including halves, thirds, quarters and fifths using number lines and models.

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Learning Intentions

By the end of the lesson, students will:

✅ Understand what fractions represent as equal parts of a whole
✅ Represent halves, thirds, quarters, and fifths on a number line
✅ Accurately read and interpret simple fractions on a number line
✅ Compare and order fractions using visual aids such as fraction strips

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Success Criteria

• I can identify fractions as equal parts of a whole
• I can place halves, thirds, quarters, and fifths correctly on a number line
• I can use fraction strips to compare sizes of fractions
• I can work with my group to create and explain a fraction number line

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Resources & Materials

• Mini whiteboards and markers (1 per student)
• Printed fraction strips showing ½, ⅓, ¼, and ⅕
• A3 fraction number line mats (1 per group)
• Post-it notes (assorted colours)
• Small counters or markers for fraction placement (e.g. bottle tops)
• Rulers and pencils
• Teacher-made fraction “puzzle cards” for consolidation game
• Visual display: Interactive Fractions Anchor Chart or whiteboard model

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Lesson Sequence

⏱️ Warm-Up (5 mins): Fraction Flash

Purpose: Activate prior knowledge and introduce vocabulary.

1. Display images of common objects divided into 2, 3, 4, and 5 parts (e.g. pizzas, chocolate bars).
2. Ask: “What do we call each part if the whole is divided evenly?”
3. Call out descriptive phrases like “a pizza cut in 2” and have students write the corresponding fraction on mini whiteboards.
4. Encourage quick sharing with elbow partner.

Teacher Tip: Look for common misconceptions (e.g. 3 parts = 1/3 not 1/4). Use this to clarify correct terminology.

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🪄 Explicit Teaching (10 mins): From Parts to Lines

Purpose: Model how simple fractions are represented on number lines.

1. Draw a number line from 0 to 1 on the board.
2. Model placing ½ first — discuss how the line is split exactly in the middle.
3. Repeat with ¼, ⅓, and ⅕. Emphasise equal spacing and partitioning skills.
4. Ask students: “Which do you think is bigger — ½ or ⅕?” Introduce comparison visually.

Use fraction strips as a visual scaffold, attaching them to the board or using overhead projection (if available).

Check for Understanding: Ask students to write ⅓ and ¼ on mini whiteboards and hold them up.

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🤝 Guided Practice (15 mins): Build & Share

Purpose: Cooperative group task to consolidate understanding of fraction number lines.

Group Size: 6 groups of 4 students

1. Provide each group with:
   • A3 number line mat with 0–1 drawn but no markings
   • Fraction strips
   • Counters/bottle tops
   • Pencils and rulers
2. Assign each group 2 target fractions to represent (e.g. Group A = ½ and ⅕).
3. Groups work together to:
   • Divide the number line accurately
   • Place and label the given fractions
   • Use fraction strips and counters to justify placement

Teacher Role: Rotate among groups, guiding partitioning and prompting with questions:
“What do you notice about the gap between ⅕ and ¼?”
“What challenges are you having marking thirds?”

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🎤 Sharing & Reflection (5 mins): Fraction Gallery Walk

1. Groups lay out completed number lines around the room or hold them up.
2. Students walk around silently, observing how each group represented their fractions.
3. As they walk, students write a “fraction fact” on a Post-it and place it near a group's number line (e.g. “¼ is smaller than ⅓ but bigger than ⅕”).

Optional Differentiation:
Invite more capable students to discuss improper fractions briefly or explore patterns (e.g. “What is halfway between ¼ and ½?”).

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🎲 Consolidation Game (8 mins): Fraction Match-Up

Purpose: Reinforce understanding in a fun, collaborative way.

1. Distribute fraction “puzzle cards”:
   • 1 card with a written fraction (e.g. ¾)
   • 1 card with a number line diagram
   • 1 card with a visual (e.g. pizza slice)
2. Students move around to find their match and justify their group’s reasoning to the class.

Extension Idea: Ask matched sets to order themselves from smallest to largest.

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Differentiation

Support:

• Use colour-coded fraction strips for students needing concrete representations.
• Allow students to work in structured pairs with prompts (e.g. “I see that…”)

Extension:

• Challenge students to design a number line from 0–2 using the same fraction sets.
• Ask: “Can you name a fraction between ⅓ and ½?”

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Assessment (Formative)

👀 Teacher Observations:

• Accuracy during guided number line task
• Participation and reasoning during gallery walk
• Use of correct vocabulary during warm-up and puzzle hunt

📒 Student Output:

• Group fraction number lines
• Post-it “fraction facts”
• Mini whiteboard responses

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Reflection & Exit Slip (2 mins)

Pose this question on the board:

“Which fraction is your favourite and why?”

Students write a one-sentence response on the back of a Post-it.

Stick it to the door as an exit slip.

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Teacher Notes

• This lesson is highly tactile and collaborative. It blends visual literacy with mathematical reasoning, in alignment with the Maths Mastery approach.
• Emphasis is placed on language development (‘equal parts’, ‘whole’, ‘smaller/larger’) alongside mathematical knowledge.
• Lesson 4 will build on today’s understanding by introducing equivalence and improper fractions.

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Additional Ideas for Home Learning

🟡 Invite students to find fractions at home (in the kitchen, garden or measuring) and take a photo or sketch something that represents a half, third, quarter, or fifth.

🟡 Provide parents/carers with a prompt: “Ask your child to explain what a fraction is using objects at home!”

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Let’s help our students see that fractions are not just numbers — they’re parts of our world! 🌏🟰🍕

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End of Lesson Plan