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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

Elaboration ACMNA128

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

Elaboration ACMSP145

conducting repeated trials of chance experiments, identifying the variation between trials and realising that the results tend to the prediction with larger numbers of trials

Elaboration ACMNA156

using rounding to estimate the results of calculations with whole numbers and decimals, and understanding the conventions for rounding

Elaboration ACMNA157

justifying choices of written, mental or calculator strategies for solving specific problems including those involving large numbers

Elaboration (1) ACMMG222

recognising that right-angled triangle calculations may generate results that can be integers, fractions or irrational numbers

The Australian Curriculum: Mathematics is organised around the interaction of three content strands and four proficiency strands. The content strands are number and algebra, measurement and geometry, and statistics and probability. They describe what …

Structure | Mathematics | F-10 curriculum

Achievement Standard Mathematics Year 4

By the end of Year 4, students choose appropriate strategies for calculations involving multiplication and division. They recognise common equivalent fractions in familiar contexts and make connections between fraction and decimal notations up to two …

Achievement Standard | Achievement Standards | Year 4 | Mathematics | F-10 curriculum

Achievement Standard Mathematics Year 9

By the end of Year 9, students solve problems involving simple interest. They interpret ratio and scale factors in similar figures. Students explain similarity of triangles. They recognise the connections between similarity and the trigonometric ratios. …

Achievement Standard | Achievement Standards | Year 9 | Mathematics | F-10 curriculum

Achievement Standard Mathematics Year 7

By the end of Year 7, students solve problems involving the comparison, addition and subtraction of integers. They make the connections between whole numbers and index notation and the relationship between perfect squares and square roots. They solve …

Achievement Standard | Achievement Standards | Year 7 | Mathematics | F-10 curriculum

Elaboration ACMNA055

recognising that certain single-digit number combinations always result in the same answer for addition and subtraction, and using this knowledge for addition and subtraction of larger numbers

Elaboration ACMNA071

using the four operations with pairs of odd or even numbers or one odd and one even number, then using the relationships established to check the accuracy of calculations

Elaboration (1) ACMNA149

applying knowledge of factors to strategies for expressing whole numbers as products of powers of prime factors, such as repeated division by prime factors or creating factor trees

Elaboration (2) ACMNA149

solving problems involving lowest common multiples and greatest common divisors (highest common factors) for pairs of whole numbers by comparing their prime factorisation

Elaboration (1) ACMNA133

investigating additive and multiplicative patterns such as the number of tiles in a geometric pattern, or the number of dots or other shapes in successive repeats of a strip or border pattern looking for patterns in the way the numbers increase/decre …

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