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Fractions: applying the four operations

This guide provides a sequence of small steps for deepening understanding of fractions, from simplifying fractions to comparing and ordering fractions through to adding, subtracting, multiplying and dividing fractions.

Additional details
Year level(s)	Year 4, Year 5, Year 6
Audience	Teacher
Purpose	Teaching resource, Teaching strategies
Format	Downloadable resources
Teaching strategies and pedagogical approaches	Questioning, Explicit teaching
Keywords	equivalent, simplify, improper fractions, mixed numbers, explicit teaching
Curriculum alignment
Curriculum connections	Numeracy
Strand and focus	Number, Build understanding
Topics	Addition and subtraction, Fractions, Multiplication and division, Operating with number
AC: Mathematics (V9.0) content descriptions	AC9M4N03 Find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation AC9M4N04 Count by fractions including mixed numerals; locate and represent these fractions as numbers on number lines AC9M5N03 Compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line AC9M5N05 Solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies AC9M6N03 Apply knowledge of equivalence to compare, order and represent common fractions including halves, thirds and quarters on the same number line and justify their order AC9M6N05 Solve problems involving addition and subtraction of fractions using knowledge of equivalent fractions AC9M6N07 Solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies and using digital tools where appropriate
Numeracy progression	Additive strategies (P9) Counting processes (P8) Interpreting fractions (P5, P6, P7, P8) Multiplicative strategies (P9) Proportional thinking (P2) Understanding money (P8)
Copyright details
Organisation	White Rose Maths
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