Circle Theorems; Geometrical Proof (Higher - Unit 3)

Topic:Circle Theorems; Geometrical Proof
Estimated teaching time:Higher 2.5 hours - 3.5 hours

Specification references (in recommended teaching order)

G1.5h Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment. Know and use circle theorems.
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G1.1 Recall and use properties of angles at a point, angles at a point on a straight line (including right angles), perpendicular lines and opposite angles at a vertex.
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G1.2 Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals.
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G1.3 Calculate and use the sums of the interior and exterior angles of polygons
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G1.8h Understand congruence and similarity. Use similarity. Understand and use conditions for congruent triangles.
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G2.3 Justify simple geometrical properties. Simple geometrical proofs.
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Teaching resources


Circle Thoerems - Lesson Plan - Angle at Centre and Related Proof
Angle at the centre and related proof15/08/2010
Circle Theorems - Lesson Plan - Alternate Segment
Alternate segment theorem15/08/2010

Circle Theorems - Angle at the centre and related proofs
Teacher Sheet15/05/2010
Circle Theorems - Angle at the centre and related proofs
Question sheet15/05/2010
Circle Theorems - Alternate Segment Theorem
Question sheet15/05/2010
Circle Theorems - Alternate Segment Theorems
Teacher Sheet15/05/2010

Circle theorems; geometrical proof - Homework Sheet and Mark Scheme
Downloadable resource in doc format. 09/04/2010

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Exam questions and revision materials.

Please note that, due to the overlap of C/D questions, some material may have been tagged as appropriate for both Foundation and Higher tier. Equally, due to the nature of some questions, different parts of a question may assess different topics. Teachers are advised to ensure learners have covered all of the question content before using such questions.

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