Mathematics / Year 3 / Number and Algebra / Fractions and decimals

Curriculum content descriptions

Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole (ACMNA058)

Elaborations
  • partitioning areas, lengths and collections to create halves, thirds, quarters and fifths, such as folding the same sized sheets of paper to illustrate different unit fractions and comparing the number of parts with their sizes
  • locating unit fractions on a number line
  • recognising that in English the term ‘one third’ is used (order: numerator, denominator) but that in other languages this concept may be expressed as ‘three parts, one of them’ (order: denominator, numerator) for example Japanese
General capabilities
  • Numeracy Numeracy
ScOT terms

Unit fractions

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Fruit fractions: Fruit kebab fun

In this lesson, we use fruit to explore common/decimal fractions relating to tenths. Students will use coloured Unifix cubes to represent tenths of a fraction on a ‘fruit kebab’. They will discover the idea of equivalent fractions and make connections using a fraction wall. The lesson uses interactive activities, discussions ...

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Cutting it up

Students represent fractions using linear materials and recognise key equivalent fractions. They share collections equally to solve simple problems (halves, quarters and eighths).

Online

Fruit fractions: Gardeners of fractions

In this lesson, students use a simulated garden bed to explore tenths. They explore fractions within simulated Asian gardening plots. They draw garden beds, allocate fractions to fruit plants, and combine fractions to understand tenths. Through creativity and discussion, they grasp the concept of fractions as parts of a ...

Online

Fruit fractions: Fruit salad crafty creations

Students demonstrate knowledge of fractions through creating their very own simulated ‘fruit salad’. Pose the questions: if you were to create a fruit salad what would it have in there? In what ratios/proportions? Are there any fruits you wouldn’t want in there? Which fruits go/don’t go together? Showcase your understanding ...

Online

Fractions: Year 3 – planning tool

This planning resource for Year 3 is for the topic of Fractions. Students will develop their understanding of multiple representations of fractions including 1/2, 1/3, 1/4, 1/5 and 1/10 using three different models: area models, length models and set models.

Online

Fruit fractions: Fruit karate

In this lesson, students use fruit to explore common fractions. They step into the world of fractions by exploring various fruits and slicing them into halves, quarters and eighths. Through materials such as playdough and interactive discussions, they discover the meaning of terms such as numerator and denominator while ...