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Elaboration ACMNA122

understanding that some numbers have special properties and that these properties can be used to solve problems

Elaboration (1) ACMNA122

representing composite numbers as a product of their prime factors and using this form to simplify calculations by cancelling common primes

understanding that if a number is divisible by a composite number then it is also divisible by the prime factors of that number (for example 216 is divisible by 8 because the number represented by the last three digits is divisible by 8, and hence 216 …

Elaboration ACMNA123

applying strategies already developed for solving problems involving small numbers to those involving large numbers

Elaboration (1) ACMNA123

applying a range of strategies to solve realistic problems and commenting on the efficiency of different strategies

Elaboration ACMNA124

understanding that integers are ...-3, -2, -1, 0, 1, 2, 3,.....

Elaboration (1) ACMNA124

solving everyday additive problems using a number line

Elaboration (2) ACMNA124

investigating everyday situations that use integers, such as temperatures

Elaboration (3) ACMNA124

using number lines to position and order integers around zero

Elaboration ACMNA125

demonstrating equivalence between fractions using drawings and models

Elaboration ACMNA126

understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions

Elaboration (1) ACMNA126

solving realistic additive (addition and subtraction) problems involving fractions to develop understanding of equivalent fractions and the use of fractions as operators

Elaboration (2) ACMNA126

modelling and solving additive problems involving fractions by using methods such as jumps on a number line, or by making diagrams of fractions as parts of shapes

Elaboration ACMNA127

recognising that finding one third of a quantity is the same as dividing by 3

Elaboration ACMNA128

extending whole-number strategies to explore and develop meaningful written strategies for addition and subtraction of decimal numbers to thousandths

Elaboration (1) ACMNA128

exploring and practising efficient methods for solving problems requiring operations on decimals, to gain fluency with calculating with decimals and with recognising appropriate operations

Elaboration ACMNA129

interpreting the results of calculations to provide an answer appropriate to the context

Elaboration ACMNA130

multiplying and dividing decimals by multiples of powers of 10

Elaboration ACMNA131

connecting fractions, decimals and percentages as different representations of the same number, moving fluently between representations and choosing the appropriate one for the problem being solved

Elaboration ACMNA132

using authentic information to calculate prices on sale goods

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