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GSP The Geometer’s S ketchpad

GSP The Geometer’s S ketchpad. Geometry with ICT. 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;

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GSP The Geometer’s S ketchpad

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  1. GSPThe Geometer’s Sketchpad

  2. Geometry with ICT 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, 2004

  3. 30 min to familiarise yourself (booklet for you to use in the session and take home)

  4. Geometric Constructions

  5. 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?

  6. 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?

  7. Handout with Activity 1, 2 and 3.

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