Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
Big Ideas in Geometric Reasoning
Part of the Top Drawer Teachers - Big Ideas series, this resource gives an overview of some of the important ideas in geometry:
- Plane shapes
- Congruence
- Similarity
- Geometric proof
- Circle geometry
There are sections about common misunderstandings, teaching and assessment strategies, and student activities.
Additional details |
|
Year level(s) | Year 7, Year 8 |
---|---|
Audience | Teacher, School Leader |
Purpose | Content knowledge |
Format | Web page |
Keywords | geometry, congruence, similarity, shape |
Curriculum alignment |
|
Strand and focus | Space |
Topics | Angles and geometric reasoning, Shapes and objects |
AC: Mathematics (V9.0) content descriptions |
AC9M7SP02
Classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships
AC9M8SP01
Identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations
AC9M8SP02
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning
AC9M7M03
Describe the relationship between π and the features of circles including the circumference, radius and diameter |
Numeracy progression |
Understanding geometric properties (P4, P5, P6)
Understanding units of measurement (P9) Proportional thinking (P6) |
Copyright details |
|
Organisation | Education Services Australia Ltd |
Copyright | © 2013 Education Services Australia Ltd. Free-for-education material. |
Related resources
-
Construction
How to use a pair of compasses and a ruler to construct angles and shapes
Resource details -
Geometry: Foundation to Year 9
This comprehensive resource describes the progression of geometric reasoning.
Resource details -
Geometry and measurement: The basics
These units describe the basic concepts of geometry and measurement.
Resource details -
Congruence
Define congruence of plane shapes using transformation. Congruence testing for triangles. Looking at the properties of quadrilaterals using triangles and angle properties, and solve numerical problems using reasoning.
Resource details