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You are here: Home / Maths / Year 2 Maths (Aus Curriculum) / Fractions – Halves, Quarters and Eighths (AC9M2N03)

Fractions – Halves, Quarters and Eighths (AC9M2N03)

🌟 Overview

Explore fractions in Year 2 by recognising and describing one‑half as one of two equal parts of a whole. Students use shapes, objects and collections to model halves, then connect halves to quarters and eighths through repeated halving.

They compare simple fractions, identify equal parts, and solve basic problems involving ½, ¼ and ⅛.


📂 Subtopics Included

Includes engaging videos and worksheets for. Please click on the link to access the worksheets and videos for each subtopic:

StepLessonWhat You Learn
1
🍕 What Is a Half? Equal Parts and Halves of Shapes and Collections
Define a half as one of two equal parts of a whole. Find and show ½ of shapes, objects and collections, and decide if a division is truly into halves.
2
🍰 Quarters and Eighths: Repeated Halving
Understand quarters as “half of a half” and eighths as “half of a quarter”. Use folding and diagrams to create ¼ and ⅛ and compare ½, ¼ and ⅛ using the same whole.
3
🔗 Connecting Halves, Quarters and Eighths
Explore relationships such as 2 quarters = 1 half, 2 eighths = 1 quarter and 4 eighths = 1 half. Solve simple word problems and reasoning tasks with ½, ¼ and ⅛.

📚 Curriculum Reference

This topic and its worksheets are aligned with the Australian Curriculum: Mathematics (Version 9.0).

Code: AC9M2N03 – Recognise and describe one‑half as one of 2 equal parts of a whole and connect halves, quarters and eighths through repeated halving.


🔗 Related Learning Areas

These topics work well alongside AC9M2N03:

  • Recognise, Represent and Order Numbers to 1000 (AC9M2N01)
  • Partition, Rearrange, Regroup and Rename Two‑ and Three‑Digit Numbers (AC9M2N02)
  • Add and Subtract One‑ and Two‑Digit Numbers (AC9M2N04 / AC9M2A02)
  • Additive Number Patterns and Missing Numbers (AC9M2A01)
  • Multiplication and Division: Doubling and Halving (AC9M2A03)


📝 Helpful Tips

  • Start with halves only before introducing quarters and eighths. Ensure students can consistently identify and create equal halves of shapes and collections.
  • Use folding (paper shapes, ribbons) and sharing (counters, fruit) to make the idea of “equal parts” concrete.
  • Emphasise language: “one half”, “one quarter”, “one eighth”, “out of 2/4/8 equal parts”.
  • Use repeated halving explicitly:
  • Whole → half → half again → quarters
  • Whole → half → quarter → half again → eighths
  • Compare fractions using the same whole: “Which is bigger: ½ or ¼ of the same pizza?”
  • Ask reasoning questions:
  • “Is this shape divided into halves? How do you know?”
  • “If 2 quarters make 1 half, how many quarters make 1 whole?”
  • Keep sessions short and visual (5–10 minutes of hands‑on fraction play) to build confidence and correct misconceptions early.

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