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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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.

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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 ...

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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).

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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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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 ...

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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 ...

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Fractions: Lili's Breakfast - Calculate

This activity allows students to explore the concept of fractions in a familiar context. It lets them discover halves, quarters and eighths.

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Fractions: Design your own Flag - Calculate

This activity allows students to explore the concept of fractions with a focus on quarters. Adaptions can be made by changing the fraction. We want students to discover that the same fraction can look different but still have the same quantity/ amount.

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Decimals Year 3 & 4 - Calculate

The focus of this activity is to find out what students know about addition of decimals and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?