Parametric equations (new A level maths)

This 28-page resource covers all the required knowledge and techniques for the topic of parametric equations, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included).

The sections/topics are:

1. Parametric graphs
   (a) sketching graphs with parametric equations
   (b) finding the value(s) of the parameter at a particular point on the graph

2. Converting parametric to cartesian equations
   (a) converting parametric equations that are polynomials, rational functions, exponential functions…
   (b) converting parametric equations that involve trigonometric functions

3. Finding the intersection of a parametric graph and a graph with cartesian equation
   (a) Converting the parametric equation to cartesian
   (b) Substituting the parametric equations into the cartesian

4. Finding gradients of parametric curves
   (a) Finding an expression for dy/dx and the gradient of the curve at a point
   (b) Finding stationary points and points where tangent is parallel to x-axis or y-axis
   © Finding the equation of the tangent or normal to the curve

5. Finding the area between a parametric curve and the x-axis

This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. The comprehensive set of exercises contains around 100 questions for your students to complete. Answers to all exercises are included.

Here is an example of one of my A level resources that is freely available:

https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186