K–10Mathematics K–10 Syllabus
Mathematics for K−2
The new syllabus must now be taught in Kindergarten to Year 2 in all NSW primary schools.
Mathematics for 3−10
The new syllabus is to be taught in Years 3 to 10 from 2024.
2023 Plan and prepare to teach the new syllabus
2024 Start teaching the new syllabus
School sectors are responsible for implementing syllabuses and are best placed to provide schools with specific guidance and information on implementation given their understanding of their individual circumstances.
Content
Stage 4
- MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
- MA4-IND-C-01
operates with primes and roots, positive-integer and zero indices involving numerical bases and establishes the relevant index laws
Describe numbers written in index form using terms such as base, power, index and exponent
Represent numbers in index notation limited to positive powers
Represent in expanded form and evaluate numbers expressed in index notation, including powers of 10
Apply the order of operations to evaluate expressions involving indices
Determine and apply tests for divisibility for 2, 3, 4, 5, 6 and 10
Represent a whole number greater than one as a product of its prime factors, using index notation where appropriate
Recognise and describe the relationship between squares and square roots, and cubes and cube roots for positive numbers
Estimate the square root of any non-square whole number and the cube root of any non-cube whole number, then check using a calculator
Identify and describe exact and approximate solutions in the context of square roots and cube roots
Apply the order of operations to evaluate expressions involving square roots, cube roots, square numbers and cube numbers
Establish the multiplication, division and the power of a power index laws, by expressing each number in expanded form with numerical bases and positive-integer indices
Establish the meaning of the zero index
Apply index laws to simplify and evaluate expressions with numerical bases