Tangents
Select point A and move it round the circle.
What do you notice about the size of the angle?
What can you say about the relationship between Tangents and the Radius of a circle?
Ideas for Teachers
Use this Activity as a homework, where the students must come up with a conjecture regarding Tangents. Ensuring they are using the correct vocabulary here is essential.
An alternative approach, which is even more hands on, is to get them to make this in Autograph themselves. You could do this in two ways: show them this activity, asking them to reproduce it (will develop their understanding of Autograph and circles); use the worksheet provided which gives a step by step approach to creating it.
Use this Activity as a homework, where the students must come up with a conjecture regarding Tangents. Ensuring they are using the correct vocabulary here is essential.
An alternative approach, which is even more hands on, is to get them to make this in Autograph themselves. You could do this in two ways: show them this activity, asking them to reproduce it (will develop their understanding of Autograph and circles); use the worksheet provided which gives a step by step approach to creating it.
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A worksheet for students to work through which involves them creating the above activity using Autograph before doing the investigation.

tangents.agg  
File Size:  8 kb 
File Type:  agg 