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The resource provides detailed explanations and examples to teach the topic of congruence. It covers the following areas: understanding the properties that determine congruence of triangles and recognising which transformations create congruent figures; constructing triangles using the conditions of congruence; and looking at the properties of quadrilaterals using congruence and angle properties. Students can use this resource independently or with peers to establish an understanding of congruence as they read through the explanations, examples and complete the questions.
|Content knowledge, Evidence-based approaches, Student task, Teaching resource, Teaching strategies
|Teaching strategies and pedagogical approaches
|Collaborative learning, Explicit teaching, Worked examples
|quadrilaterals, transformation, congruence, angle properties
|English, Numeracy, Critical and creative thinking
|Strand and focus
|Space, Apply understanding, Build understanding, Measurement
|Angles and geometric reasoning, Transformation, Shapes and objects
|AC: Mathematics (V9.0) content descriptions
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
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning
Understanding geometric properties (P6, P7)
Proportional thinking (P6)
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