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• Can in integrate simple polynomials (including fractional indices, and also how to treat constants)
• Know how to include constant of integration
• Can solve simple differential equations

• Can find the equation of a tangent to a curve using differentiation
• Can solve problems involving tangents

• Can find the equation of a curve from a given point and the gradient function
• Can solve simple differential equations given boundary conditions (up to a second derivative)

• Can find the equation of the normal to a curve using differentiation
• Can solve problems involving normals

• Can calculate a definite integral

• Knows the graphs of standard functions and can sketch them
• Can describe a transformation using the correct vocabulary

• Can find the area between a curve and an axis by integration
• Can find areas under the x axis

• Can sketch a quadratic function by completing the square and applying the appropriate transformations
• Can find the equation of a transformed graph

• Can find the area enclosed between a curve and a line
• Can find the area enclosed by two curves

• Can apply the trapezium rule to approximate the area under a curve
• Can apply the the rule to problems involving tables of values and interpret the results

• Can generate a sequence from a recurrence relation
• Can find the nth term of a sequence
• Can expand a summation given in E notation
• Can write a simple series in E notation

• Can convert between log form and exponential form
• Can simplify logarithmic expressions using the laws of logs
• Can sketch the graph of an exponential expression

• Can change the base of a log
• Can solve equations involving unknowns in the indices

• Can find the common difference, d, for a given series
• Can find a particular term of a series
• Can find the sum of a series
• Can find the number of terms in a series

• Can solve equations involving unknowns in the indices

• Can find a particular term of a geometric series
• Can find the common ratio of a geometric series
• Can find the sum of the first n terms
• Can find the number of terms in a series
• Knows the conditions for the convergence of a geometric series
• Can find the sum to infinity of a geometric series

• Can identify the range of values for which a function is increasing or decreasing

• Knows the different types of stationary points
• Can find and classify stationary point

• Can apply calculus techniques to practical problems of minimising and maximising.

• Revision of Inequalities

• Revision of Surds and Indices

• Revision of Straight Line Equations

• Revision of Simultaneous Equations

• Revision of Transformation of Graphs

• Revision of Integration

• Revision of Arithmetic Series

• Past Paper Revision

• Past Paper Revision