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.
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 contexts.
Content
Stage 5
- 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
- MA5-POL-P-01
defines, operates with and graphs polynomials and applies the factor and remainder theorems to solve problems (Path: Adv, Ext)
Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.
Describe polynomials using terms such as degree, leading term, coefficient and leading coefficient, constant term, monic and non-monic
Define a monic polynomial as having a leading coefficient of one
Add, subtract and multiply polynomials
Identify the dividend, divisor, quotient and remainder in numerical division
Divide a polynomial by a linear polynomial to find the quotient and remainder
Verify the remainder theorem and use it to find factors of polynomials and solve related problems
Develop and apply the factor theorem to factorise particular polynomials completely and solve related problems
Graph polynomials in factored form
Graph quadratic, cubic and quartic polynomials by factorising and finding the zeroes
Relate the term zeroes to polynomial functions and roots to polynomial equations