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# Mathematics / Year 4 / Number

Version 9
Curriculum content descriptions

find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation (AC9M4N03)

Elaborations
• extending fraction families within collections of materials; for example, by seeing $$\frac34$$ as $$3$$ in each $$4$$, showing this within related fractions like $$\frac68$$ or seeing that $$\frac25$$ means $$2$$ in each $$5$$ so it can be shown within $$\frac4{10}$$
• creating models of equivalent fractions by subdividing capacity measures into smaller fractions; for example, half a cup of flour could be shown as two-quarters or four-eighths of a cup of flour
• folding paper to show equivalence between different fractions; for example, folding A4 paper in half and half again, repeating to form eighths and demonstrating that $$\frac48$$ = $$\frac24$$ = $$\frac12$$; folding paper strips into fifths and tenths, and recording as both fractions and decimals
• identifying and using the connection between fractions of metres and decimals; for example, finding $$\frac14$$ of a metre and connecting this to $$0.25$$ metres or $$25$$ centimetres, or finding $$\frac1{10}$$ of a metre and connecting this with $$0.10$$ metres or $$10$$ centimetres
• using array diagrams to show the relationship between fractions and division and multiplication of natural numbers; for example, $$3 \times 4 = 12$$, $$12 รท 4 = 3$$, $$\frac14$$ of $$12$$ is $$3$$, $$\frac13$$ of $$12$$ is $$4$$
General capabilities
• Numeracy Numeracy
ScOT terms

Related denominators,  Decimals,  Equivalent fractions

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