Calculus

Key Ideas:

Differentiation

      Polynomials (including those with negative powers, fractional powers and those that require simplfying or reaaranging first)

       Drawing the gradient function

       Calculating the Gradient function at a point and finding points with a particular gradient

      Finding the equation of a tangent

      Stating where a function is increasing or decreasing

      Finding turning points and determining whether they are a maximum or minimum.

      Optimisation 

      Rates of change

Antidifferentiation

    Find the equation of a polynomial given a gradient function (including those with fractional and negative powers and multiple terms)

    Draw the graph of  a function given the graph of the gradient function

Kinematics

  Using Differentiation and antidifferentiation to solve problems involving Distance, Velocity and Acceleration