Deriving the Equation of Tangents

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Deriving the Equation of Tangents

 

Students learn how to find the equation of a tangent to a curve and circle.

Later, as learning progresses, they apply their learning to prove whether a line is tangential.

Differentiated Learning Objectives
  • All students should be able to calculate the gradient of a tangential line to a circle.
  • Most students should be able to calculate the equation of a line tangential to a circle.
  • Some students should be able to use algebra to prove a line is tangential to a circle.
Scheme of Work Links

Graphical Functions, Circles and Tangents

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