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# 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.

Year level(s) Year 7, Year 8
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)