Circle geometry
Duration: 75 minutes
Year levels: 10A, 10A, 10A, 10A, 10A, 10A
Category: Angles, Angles, Angles, Angles, Angles, Angles, Curves, Curves, Curves, Curves, Curves, Curves, Geometry, Geometry, Geometry, Geometry, Geometry, Geometry, Lines, Lines, Lines, Lines, Lines, Lines, Shapes, Shapes, Shapes, Shapes, Shapes, Shapes
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, 2.1 Content and teaching strategies of the teaching area, 2.1 Content and teaching strategies of the teaching area, 2.1 Content and teaching strategies of the teaching area, 2.1 Content and teaching strategies of the teaching area, 2.1 Content and teaching strategies of the teaching area, 2.1 Content and teaching strategies of the teaching area, 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
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
This module addresses one big idea of geometric reasoning, that is circle geometry. It builds on the formality required for a deductive proof covered in the module, geometric proof. The module contains a number of activities including; exploring angle and chord properties in circle geometry, exploring circle theorems through paper folding, and investigating particular situations in a circle to form an hypothesis. There is an emphasis on the precise wording of the details of the conclusions. Further explorations of circle geometry using Geogebra and Geogebratube are included in the module. Teachers will be able to further reinforce their understanding of the often complex nature of writing formal geometric proofs while using formal deductive geometry strategies.
This module is one of four modules on Geometric Reasoning; the others are: plane shapes, congruence and similarity, and geometric proof.
Reasoning about circle geometry is based on some of the material found in AAMT’s Top Drawer Teachers.
