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Paper, pencil and protractor
In this activity, students are asked to construct triangles with a given set of restrictions. This can be done as a group activity. After completing the constructions, students are asked to explain their findings.
Additional details |
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Year level(s) | Year 8 |
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Audience | Teacher |
Purpose | Assessment task |
Format | Web page |
Teaching strategies and pedagogical approaches | Feedback |
Keywords | Angle, Construction, Triangle, Side, Congruent |
Curriculum alignment |
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Curriculum connections | Critical and creative thinking |
Strand and focus | Space |
Topics | Angles and geometric reasoning |
AC: Mathematics (V9.0) content descriptions |
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 |
Numeracy progression |
Understanding geometric properties (P6, P7)
Proportional thinking (P6) |
Copyright details |
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Organisation | AAMT |
Copyright | © 2014 The Australian Association of Mathematics Teachers (AAMT) Inc. Free-for-education material. |
Related resources
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Measuring circles
This unit consists of several lessons that introduce the geometry of circles.
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Mathematics Year 8 work sample portfolio – ACARA
Refer to Work sample 12: number and measurement – investigating circles, and the related tasks for guidance in assessing students’ understanding of circles, including the formula to calculate the area of a circle and identifying its diameter and circumference.
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Assessment: angles in lines and polygons
Use this two-page worksheet to assess student understanding of corresponding, alternate and co-interior angles and to calculate the unknown value.
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Assessment: congruence, similarity and enlargement
Use this two-page worksheet to assess student understanding of the properties of congruent triangles when determining the value of unknown angles.
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