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 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 Loading figures if Loading , Loading and rotations can move one figure exactly on top of another
Match the Loading and Loading of 2 congruent Loading
Indicate 2 polygons are congruent using the symbol and name the vertices in matching order
Determine that having equal radii is the condition for 2 Loading to be congruent
Establish the 4 congruence tests for Loading (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
Establish for 2 similar figures with similarity ratio that their areas are in the ratio and their volumes are in the ratio
Solve problems involving areas and Loading of similar Loading 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
Establish the sum of the exterior angles of any convex polygon is and verify this result
Apply the result for the sum of the Loading 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