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Circle Geometry - Coggle Diagram
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Circle Geometry
Lesson 1 (LIT & ICT)
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Content descriptors
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(soft) prove the following chord property of circles: the perpendicular from the centre of a circle to a chord bisects the chord; conversely, the line from the centre of a circle to the midpoint of a chord is perpendicular to the chord
ICT
- Students use Desmos to arrange reasons and statements for the proof of the chord property.
- Students create representations of the circle theorems on Desmos.
Lesson 2 (LIT & ICT)
Lesson goals
Recognise the arc on which an angle at the centre or circumference stands and use the expression "angle subtended at ..." for different situations
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Content descriptors
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apply chord and angle properties of circles to find unknown angles and lengths in diagrams (Problem Solving)
ICT
- An interactive representation will be given to let students play with it and observe what is happening.
- Students will be asked to conjecture the property.
- Students will prove the theorem on Desmos (scaffolds will be given).
Lesson 4 (ICT)
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Content descriptors
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apply chord and angle properties of circles to find unknown angles and lengths in diagrams (Problem Solving)
ICT
- An interactive representation will be given to let students play with it and observe what is happening.
- Students will be asked to conjecture the property.
- Students will prove the theorem on Desmos (scaffolds will be given).
Lesson 5 (ICT)
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Content descriptors
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apply chord and angle properties of circles to find unknown angles and lengths in diagrams (Problem Solving)
ICT
- An interactive representation will be given to let students play with it and observe what is happening.
- Students will be asked to conjecture the property.
- Students will prove the theorem on Desmos (scaffolds will be given).
Lesson 6 (ICT)
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ICT
- An interactive representation will be given to let students play with it and observe what is happening.
- Students will be asked to conjecture the property.
- Students will prove the theorem on Desmos (scaffolds will be given).
Lesson 7 (ICT)
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ICT
- An interactive representation will be given to let students play with it and observe what is happening.
- Students will be asked to conjecture the property.
- Students will prove the theorem on Desmos (scaffolds will be given).
Lesson 8
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Content descriptors
apply chord and angle properties of circles to find unknown angles and lengths in diagrams (Problem Solving)
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General information
The unit of work only covers the first body of Content descriptors (ACMMG272), except dot point 4.