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-GEO-P-01
establishes conditions for congruent triangles and similar triangles and solves problems relating to properties of similar figures and plane shapes (Path: Ext)
Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.
Identify figures as congruent figures if translations, reflections and rotations can move one figure exactly on top of another
Match the sides and angles of 2 congruent polygons
Determine that having equal radii is the condition for 2 circles to be congruent
Establish the 4 congruence tests for triangles (SSS, SAS, AAS and RHS)
Use the congruence tests to identify a pair of congruent triangles from a selection of 2 or more triangles
Examine the minimum conditions needed and establish the 4 tests for 2 triangles to be similar
Apply the minimum conditions needed and determine whether 2 triangles are similar using an appropriate test
Solve problems involving areas and volumes of similar shapes and solids
Apply geometrical facts, properties and relationships to find the sizes of unknown sides and angles of plane shapes in diagrams, providing appropriate reasons
Define the exterior angle of a convex polygon
Apply the result for the sum of the interior angles of a triangle to find, by dissection, the sum of the interior angles of a polygon with more than 3 sides
Apply the results for the interior and exterior angles of polygons to solve problems involving polygons