Fraction Fun

Overview

This 45-minute mathematics session for Year 5 students introduces fractions aligned with the New Zealand Curriculum Refresh (nz_nzc_refresh), focusing on understanding, comparing, and representing fractions, including equivalences and conversions to improper fractions and mixed numbers. The lesson leverages concrete materials and visual tools like fraction walls and number lines to ensure engagement and conceptual clarity, suitable for 20 students.

Learning Objectives

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

• Identify, read, write, and represent fractions with denominators of 2, 3, 4, 5, 6, 8, 10, and 12.
• Compare and order fractions involving halves, quarters, eighths and others, and recognise when fractions are equivalent.
• Represent fractions in their simplest form using fraction walls and diagrams.
• Convert between mixed numbers and improper fractions with denominators up to 10, explaining the process as division with remainders.
• Find a fraction of a whole number where the answer is a whole number (e.g., 1/5 of 40).

These align with the nz_nzc_refresh Mathematics Achievement Objectives for Years 5–6 under the Rational Numbers domain .

Curriculum Links

• Number and Algebra: Understand and apply rational numbers including fractions, decimals, and percentages.
• Strategy and Techniques: Use fraction walls and number lines to visualise and simplify fractions.
• Reasoning: Explain equivalent fractions and conversions using division with remainders.
• Fluency: Calculate fractions of whole numbers using multiplication and division facts.

Key Competencies

• Thinking: Develop conceptual understanding of fractions using concrete materials and visual representations.
• Using Language, Symbols, and Texts: Use correct mathematical vocabulary and notation for fractions and mixed numbers.
• Managing Self: Engage with mathematical tasks independently and in groups during practical activities.
• Relating to Others: Collaborate to solve problems and explain solution methods to peers.

Equipment and Materials

• Fraction wall charts and fraction strips (physical or printable).
• Whiteboard and markers.
• Number lines (marked and unmarked) on laminated cards.
• Paper strips for folding and shading fractions.
• Counters or cubes for fraction-of-a-set activities.
• Worksheets with exercises for ordering, equivalence, and conversions.

Lesson Outline

Time	Activity	Description	Interaction
0-5 min	Introduction & Engagement	Begin with a brief discussion: "What fractions do you know?" Use everyday contexts like pizza slices or sharing to introduce fractions.	Whole class discussion
5-15 min	Exploring Fractions using Fraction Walls	Show fraction walls to demonstrate parts of a whole. Highlight denominators: 2, 3, 4, 5, 6, 8, 10, 12. Identify and compare fractions visually. Use colour-coded fraction strips for equivalence.	Teacher-led modelling & students exploring in pairs
15-25 min	Number Line Placement and Ordering Fractions	Students place given fractions on number lines (both marked and unmarked). Discuss ordering and comparisons, emphasising equivalences such as 1/2 = 2/4.	Paired student activity with teacher walkthrough
25-30 min	Converting Improper Fractions and Mixed Numbers	Explain conversion using division with remainders (e.g., 11/4 = 2 3/4). Do a guided example on the board with visual aids, then let students try paper-based examples.	Group guided practice
30-40 min	Finding Fractions of Whole Numbers	Using counters or cubes, students find unit fractions of sets (e.g., 1/5 of 40). Progress to non-unit fractions (e.g., 2/3 of 24), supporting multiplication and division facts links.	Hands-on individual or paired activity
40-45 min	Reflection and Assessment	Recap key concepts with a quick quiz: identify equivalent fractions, place fractions on number lines, and convert mixed numbers. Use open questions encouraging explanation.	Whole class and individual responses

Differentiation

• Support: Use more concrete materials, guided questioning, and one-to-one help. Simplify fractions to denominators 2, 4, 8 for some students.
• Extension: Challenge advanced students with addition/subtraction of fractions with related denominators or fractions related to decimals and percentages (e.g., 25% = 1/4).

Assessment

• Formative: Observe students during activities, especially their use of fraction walls and number lines. Question their reasoning during conversions and fraction of a set tasks.
• Summative: The end-of-lesson quiz with tasks to identify equivalences, order fractions, and convert forms, supported by verbal explanations to assess understanding.

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Teaching Tips

• Use fraction walls creatively as interactive, layered materials (e.g., laminated and cut fraction strips) for hands-on learning.
• Encourage students to verbalise their reasoning using fraction vocabulary (numerator, denominator, equivalent, simplest form).
• Connect fractions to real-life examples Australians can relate to, such as sharing lamingtons or dividing cricket scores.
• Incorporate formative peer feedback during paired tasks to reinforce learning through teaching.

This lesson fully matches the nz_nzc_refresh curriculum's expectations for rational numbers in Year 5, emphasising conceptual understanding, fluency, and reasoning through relevant and engaging activities 【4:4†new-maths-curriculum-overview