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-LIN-C-01
determines the midpoint, gradient and length of an interval, and graphs linear relationships, with and without digital tools
Plot and join 2 points to form an interval on the Cartesian plane and use the interval as the hypotenuse of a right-angled triangle
Apply the relationship gradient to find the gradient/slope of the interval joining the 2 points
Distinguish between intervals with positive and negative gradients from a diagram
Explain why horizontal intervals have a gradient of 0 and vertical intervals have undefined gradients using the gradient relationship
Determine the midpoint of horizontal and vertical intervals on the Cartesian plane
Apply the process for calculating the mean to find the midpoint, of the interval joining 2 points on the Cartesian plane
Use graphing applications to find the midpoint and gradient/slope of an interval
Use the interval between 2 points as the hypotenuse of a right-angled triangle on the Cartesian plane and apply Pythagoras’ theorem to determine the length of the interval joining the 2 points
Use graphing applications to find the distance between 2 points on the Cartesian plane
Recognise that equations of the form represent linear relationships or straight lines
Construct tables of values and use coordinates to graph a variety of linear relationships on the Cartesian plane, with and without digital tools
Identify the - and - intercepts of lines
Determine whether a point lies on a line using substitution
Explain that parallel lines have equal gradients/slopes
Explain why the -axis has the equation and the -axis has the equation
Recognise as a line parallel to the -axis and as a line parallel to the -axis
Graph vertical and horizontal lines