GSP The Geometer’s Sketchpad. Dynamic geometry software can be used in a variety of ways in exploring and learning about the properties of shapes; studying.

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Presentation transcript:

GSP The Geometer’s Sketchpad

Dynamic geometry software can be used in a variety of ways in exploring and learning about the properties of shapes; studying geometric relationships and learning geometrical facts; transforming shapes; working with dynamic images to make and test hypotheses about properties of shapes; making and exploring geometric constructions; constructing and exploring loci. Mathematics with ICT in Key Stage 3: Geometry lessons, Geometry with ICT

30 min to familiarise yourself (booklet for you to use in the session and take home)

Geometric Constructions

Subtended Angle Theorem 1 Imagine a circle – Imagine a chord of that circle – Imagine the angle subtended by the chord at the circumference – Imagine the angle subtended by the chord at the centre How are these related?

Subtended Angle Theorem 2 Imagine a circle – Imagine a chord – Imagine at one end of the chord a tangent to the circle – Imagine also an angle subtended by the chord at the circumference (away from the tangent) How are the angle between the tangent and the chord, and the angle subtended at the circumference, related?

Handout with Activity 1, 2 and 3.