Dimensions — AAMT

Opening the Top Drawer to Geometric Reasoning Module 2

Congruence and similarity

Duration: 75 minutes

Year levels: 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9

Category: Geometry, Geometry, Geometry, Geometry, Geometry, Geometry, Lines, Lines, Lines, Lines, Lines, Lines, Planes, Planes, Planes, Planes, Planes, Planes, Shapes, Shapes, Shapes, Shapes, Shapes, Shapes, Transformation, Transformation, Transformation, Transformation, Transformation, Transformation

Proficiency standards: Problem Solving, Problem Solving, Problem Solving, Problem Solving, Problem Solving, Problem Solving, Reasoning, Reasoning, Reasoning, Reasoning, Reasoning, Reasoning, Understanding, Understanding, Understanding, Understanding, Understanding, Understanding

AITSL standards: 1.2 Understand how students learn, 1.2 Understand how students learn, 1.2 Understand how students learn, 1.2 Understand how students learn, 1.2 Understand how students learn, 1.2 Understand how students learn, 2.2 Content selection and organisation, 2.2 Content selection and organisation, 2.2 Content selection and organisation, 2.2 Content selection and organisation, 2.2 Content selection and organisation, 2.2 Content selection and organisation, 3.4 Select and use resources, 3.4 Select and use resources, 3.4 Select and use resources, 3.4 Select and use resources, 3.4 Select and use resources, 3.4 Select and use resources, 6.1 Identify and plan professional learning needs, 6.1 Identify and plan professional learning needs, 6.1 Identify and plan professional learning needs, 6.1 Identify and plan professional learning needs, 6.1 Identify and plan professional learning needs, 6.1 Identify and plan professional learning needs, 6.2 Engage in professional learning and improve practice, 6.2 Engage in professional learning and improve practice, 6.2 Engage in professional learning and improve practice, 6.2 Engage in professional learning and improve practice, 6.2 Engage in professional learning and improve practice, 6.2 Engage in professional learning and improve practice

Use: Groups of Teachers, Groups of Teachers, Groups of Teachers, Groups of Teachers, Groups of Teachers, Groups of Teachers

Teaching practices: Engagement, Engagement, Engagement, Engagement, Engagement, Engagement, Group Work, Group Work, Group Work, Group Work, Group Work, Group Work, Student Learning, Student Learning, Student Learning, Student Learning, Student Learning, Student Learning, Technology, Technology, Technology, Technology, Technology, Technology

Will exploring the minimum conditions required for triangles to be congruent or similar, help students to develop a better understanding of the nuances of the tests for congruency and similarity?

This module addresses two big ideas of geometric reasoning, that is congruency and similarity. It contains a number of activities, including; Constructing triangles, identifying congruent and similar shapes, exploring congruence tests, and proof of congruency. Participants will further explore with a variety of online interactive activities. Teachers will be able to refresh their understandings of congruency and similarity and to examine them further.

This module is one of four modules on Geometric Reasoning; the others are: plane shapes, geometric proof, and circle geometry.

Reasoning about congruency and similarity is based on some of the material found in AAMT’s Top Drawer Teachers.

Videos

Video: Congruence and similarity: Non-similar and similar triangles

Video explaining the difference between similar and non-similar triangles.

Downloads

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