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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 content descriptions
ACMNA073 Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
ACMNA100 Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
ACMNA101 Solve problems involving division by a one digit number, including those that result in a remainder
ACMNA291 Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
ACMNA122 Identify and describe properties of prime, composite, square and triangular numbers
ACMNA123 Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
ACMNA124 Investigate everyday situations that use integers. Locate and represent these numbers on a number line
National numeracy learning progression Additive strategies - AdS8
Multiplicative strategies - MuS6, MuS7

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