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Four operations: advanced strategies

This guide provides a sequence of small steps starting with a recap of different addition, subtraction, multiplication and division strategies before moving onto factors, multiples, long division, primes to 100, and more.

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, Concrete Representational Abstract model, Explicit teaching
Keywords	area model, factors, multiples, common factors, common multiples, prime numbers, explicit teaching
Curriculum alignment
Curriculum connections	Numeracy
Strand and focus	Number, Build understanding
Topics	Addition and subtraction, Multiplication and division, Multiples, factors and powers, Operating with number, Place value
AC: Mathematics (V9.0) content descriptions	AC9M4N06 Develop efficient strategies and use appropriate digital tools for solving problems involving addition and subtraction, and multiplication and division where there is no remainder AC9M5N06 Solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers AC9M5N07 Solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction AC9M6N02 Identify and describe the properties of prime, composite and square numbers and use these properties to solve problems and simplify calculations AC9M6N09 Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including in financial contexts; formulate the problems, choosing operations and efficient calculation strategies, and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, justifying the choices made AC9M6N01 Recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane
Numeracy progression	Additive strategies (P8, P9) Multiplicative strategies (P7, P8, P9) Number and place value (P7, P9) Interpreting fractions (P8) Understanding money (P8) Positioning and locating (P5)
Copyright details
Organisation	White Rose Maths
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