Tangents Circle Theorems

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Tangents Circle Theorems

 

Students discover the alternate segment theorem and angle between the radius and tangent of a circle.

Later, as learning progresses, they apply these theorems to work out unknown angles.

Differentiated Learning Objectives
  • All students should be able to discover that a tangent and radius intersect at the circumference of a circle and are perpendicular.
  • Most students should be able to discover that a tangent and radius intersect at the circumference of a circle and perpendicular and that angles in alternate segments are equal.
  • Some students should be able to derive both theorems relating to tangents at the circumference of a circle and apply them to solve complex problems involving multiple circle theorems.
Scheme of Work Link
Circle Theorems

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