Exploring Fractions Confidently

Learning Context

Level: Year 4
Subject: Mathematics
Duration: 60 minutes
Class Size: 25 students
Curriculum Reference: New Zealand Curriculum Refresh, Mathematics and Statistics learning area, Phase 2 (Years 4–5), focusing on fractions within Number and Algebra strand.

Lesson Overview

This lesson introduces Year 4 students to fractions, focusing on understanding fractions as parts of a whole, exploring equivalent fractions, and performing simple addition of fractions with the same denominator. The approach includes visual, tactile, and number line activities designed to engage learners and align with the updated New Zealand Curriculum (Te Mātaiaho), fostering the development of number knowledge, reasoning skills, and mathematical language.

Learning Objectives

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

Identify, read, write, and represent fractions (halves, thirds, quarters, fifths, sixths, eighths) as equal parts of a whole using sets, regions, and number lines.
Curriculum links: Number and Algebra – Rational Numbers – “identify, read, write, and represent halves, thirds, quarters, fifths, sixths, and eighths”.
Understand and demonstrate equivalent fractions, recognising when two fractions are the same by comparing fraction parts visually and on fraction walls or number lines.
Curriculum links: Use of fraction walls to investigate equivalence and simplify fractions.
Add simple fractions with the same denominator, using visual models (fraction walls, paper strips) and number lines to support understanding that when denominators are the same, numerators are added.
Curriculum links: Add and subtract fractions with the same denominator to make one whole and beyond, represented visually and symbolically.
Use correct mathematical vocabulary such as numerator, denominator, equivalent, parts, whole, and addition in context.
Curriculum links: Use mathematical and statistical language to connect learning .

Key Competencies

Thinking: Reasoning about fractions, comparing, and adding.
Using Language, Symbols, and Texts: Naming and writing fractions.
Participating and Contributing: Working cooperatively in group tasks.
Managing Self: Organising materials and managing time for tasks.

Resources

Fraction walls (paper or digital)
Paper strips for folding (A4 paper strips)
Sets of counters or discrete objects (e.g., coloured blocks or beads)
Number lines marked 0 to 1 (and beyond for addition)
Whiteboard and markers
Student worksheets with fraction problems
Mathematical vocabulary cards for display

Lesson Structure

Time	Activity	Details
0 – 10 mins	Engage: Introduction and recall	Recap the concepts of “equal parts” and the vocabulary “numerator” and “denominator”. Use simple questions like “What is a half? A quarter?” Use examples from daily life (e.g., cutting a pizza). Introduce fraction notation and words.
10 – 20 mins	Explore: Representing Fractions	Students fold paper strips into halves, thirds, quarters, fifths, eighths. Label the parts with numerator/denominator words and symbols. Use fraction walls to compare and order these fractions. Discuss: How many parts is the whole cut into? How many parts do you have?
20 – 30 mins	Explain & Discuss: Equivalent Fractions	Using fraction walls and number lines, demonstrate and explore equivalence (e.g., 2/4 = 1/2). Students place fraction cards on number lines and identify equivalent fractions visually. Use questioning to prompt reasoning: “Are these equal? How can you tell?”
30 – 45 mins	Elaborate: Adding Fractions	Use paper strips or fraction walls to model adding fractions with the same denominator (e.g., 1/8 + 3/8). Students work in pairs with discrete materials to represent and add fractions. Show how numerators add, denominators stay the same. Represent addition both visually and symbolically (equation form).
45 – 55 mins	Evaluate: Formative Assessment & Reflection	Students complete a short worksheet with tasks: identifying fractions shown, matching equivalent fractions, and adding simple fractions with same denominators. While students work, teacher circulates for support and checks misconceptions. Reflection discussion using mathematical language.
55 – 60 mins	Close: Summary and Vocabulary Reinforcement	Recap key points and vocabulary learnt. Ask students to summarise what fractions are and how to add fractions with the same denominator. Introduce how later lessons will build on today’s learning (e.g., fraction subtraction, fractions on number lines). Provide homework suggestions for family engagement.

Detailed Activity Descriptions and Teaching Notes

Engage (0-10 mins)

Use real-life examples (e.g., cutting fruit, sharing chocolate) to remind students about equal sharing.
Introduce and display terms: numerator (top number), denominator (bottom number).
Demonstrate with diagram and symbols, for example: 1/4 means one part of four equal parts.
Use choral reading and writing practice of fractions in words and symbols.

Explore (10-20 mins)

Give each student paper strips, instruct to fold into different fractions.
Students label each part with words and symbols e.g., 1/2, 1/3, 1/4.
Create a fraction wall on the board or wall space with students’ strips for visual comparison.
Discuss and compare sizes of fractions on the wall to develop understanding of ordering (which is bigger, 1/3 or 1/4? Why?).

Explain (20-30 mins)

Use fraction wall pieces or digital fraction wall.
Highlight equivalent fractions by overlapping strips: 2/4 and 1/2.
Use number lines to place fractions and show equivalency visually.
Encourage students to explain reasoning using new vocabulary.

Elaborate (30-45 mins)

Model adding fractions with the same denominator using paper strips: place 1/8 strip and 3/8 strip end to end.
Draw number lines representing addition as jumps.
Students explore adding pairs of fractions using counters or fraction strips.
Encourage formulation of addition sentences like: 1/8 + 3/8 = 4/8.
Emphasise denominator stays the same; numerators add.

Evaluate (45-55 mins)

Provide worksheet with:
- Fraction identification (shade parts and write fraction).
- Equivalent fractions matching.
- Simple addition problems (same denominator).
Observe students’ use of materials and correct symbolism.
Use quick oral questioning to assess conceptual understanding.

Close (55-60 mins)

Summarise key ideas.
Reinforce mathematical vocabulary.
Suggest engagement at home: ask family member to identify fractions in cooking or daily life.
Outline next steps: exploring adding fractions with related denominators.

Assessment Ideas

Formative: Observation during hands-on activities, student verbal explanations using correct vocabulary, worksheet completion.
Peer assessment: Ask students to explain fraction addition to each other.
Self-assessment: Use learning journal prompts: “Today I learned that…” or “I can add fractions when…”
Evidence of understanding: Correct notation of fractions and addition equations, correct identification of equivalent fractions.

Alignment Summary with NZ Curriculum Refresh

This lesson aligns with the New Zealand Curriculum Refresh for Mathematics and Statistics (Years 4–5, Phase 2) focusing on Number - Rational Numbers:

Developing fraction identification, representation, and equivalence understanding.
Introducing addition operations on fractions with the same denominator.
Integrating multiple representations: physical materials, fraction walls, number lines.
Using mathematical language explicitly (numerator, denominator, equivalent).
Emphasising conceptual understanding over memorisation.
Supporting diverse learners with visual and tactile experiences.
Encouraging reflective and communicative mathematical competency.

This lesson plan is designed to engage, scaffold, and challenge Year 4 students in a typical New Zealand classroom and can be adapted as needed by teachers to local contexts and individual student needs. It blends hands-on learning, visual supports, and language development rooted in the current NZ curriculum refresh guidance.

If you wish, I can help generate the accompanying teacher notes, student worksheet samples, or digital fraction wall templates next!

Teaching Instructions