K–10Mathematics K–10 Syllabus (2022)
The new Mathematics K–10 Syllabus (2022) is to be implemented from 2024 and replaces the Mathematics K–10 Syllabus (2012).
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 contexts.
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 Loading form using terms such as Loading , 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 Loading to evaluate Loading involving Loading
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 Loading , using index notation where appropriate
Use the notations for square root () and cube root ()
Recognise and describe the relationship between Loading and Loading , and Loading and cube roots for positive numbers
Verify, through numerical examples, that
Estimate the square root of any non-square whole number and the Loading of any non-cube whole number, then check using a calculator
Identify and describe exact and Loading solutions in the context of square roots and cube roots
Apply the order of operations to evaluate expressions involving square roots, cube roots, Loading and cube numbers
Establish the multiplication, division and the power of a power index laws, by expressing each number in expanded form with numerical Loading and positive-Loading indices
Verify through numerical examples that
Establish the meaning of the zero index
Apply index laws to simplify and evaluate expressions with numerical bases