A ‘Teach Further Maths’ Resource 47 Slides To understand and use Sigma notation. To be able to derive and use the formula for ∑r. To be able to use the formulae for ∑r2 and ∑r3. To be able to solve series questions requiring algebraic manipulation.

A ‘Teach Further Maths’ Resource 20 Slides To use the skills learnt so far to solve exam style polar geometry questions.

A ‘Teach Further Maths’ Resource 59 Slides To be able to solve equations of the form f(x) =0 using the method of interval bisection. To be able to solve equations of the form f(x) =0 using the method of linear interpolation. To be able to solve equations of the form f(x) =0 using the Newton-Raphson method. To be able to solve equations of the form dy/dx = f(x) using Euler’s ‘Step by Step’ Method.

A ‘Teach Further Maths’ Resource 30 Slides To be able to solve certain first order differential equations using a complementary function and a particular integral. To use a change of variable to solve some first and second order differential equations.

A Teach Further Maths’ Resource 73 Slides To understand what is meant by a ‘transformation’. To understand what is meant by a linear transformation’. To be able to show that a given transformation is linear. To understand what is meant by an ‘inverse transformation’. To be able to find the inverse of a given linear transformation. To be able to find matrices that represent given linear transformations. To be able to find matrices that represent composite linear transformations. To understand what is meant by ‘invariant points’ and ‘invariant lines’. To be able to find invariant points/lines for a given transformation matrix. To be able to find matrices representing inverse linear transformations. To be able to find matrices representing inverse of composite linear transformations. To understand how to find the transpose of a matrix.

A ‘Teach Further Maths’ Resource 46 Slides To sketch graphs of inverse trigonometric functions. To be able to differentiate inverse trigonometric functions. To recognise integrals which integrate to inverse trigonometric functions. To integrate more complicated expressions To know a special form of integral

A ‘Teach Further Maths’ Resource 31 Slides To understand what is meant by hyperbolic functions. To be able to sketch graphs of hyperbolic functions. To be able to establish hyperbolic identities. To understand Osborn’s Rule.

A ‘Teach Further Maths’ Resource 34 Slides To be able to find the general solution of simple trigonometric equations in degrees. To be able to find the general solution of simple trigonometric equations in radians.

A ‘Teach Further Maths’ Resource 28 Slides To recall the rules of simple transformations. To be able to find matrices representing simple composite transformations. To know that composite transformation matrices are pre-multiplied. To be able to describe simple composite transformations represented by some matrices.

A ‘Teach Further Maths Resource’ 33 Slides To understand that, for a polynomial with real coefficients, any complex roots occur in conjugate pairs. To use this condition in solving various problems about complex roots of polynomials.

A 'Teach Further Maths' Resource. 78 slides To understand what is meant by a ‘second order differential equation’. To be able to solve some second order differential equations using the auxiliary equation. To be able to solve some second order differential equations by finding a complementary function and a particular integral.

A ‘Teach Further Maths’ Resource. 78 slides To understand what is meant by a ‘second order differential equation’. To be able to solve some second order differential equations using the auxiliary equation. To be able to solve some second order differential equations by finding a complementary function and a particular integral.

A 'Teach Further Maths Resource 65 slides To know the relationship between the roots of a polynomial equation and its coefficients. To be able to find polynomial equations with related roots. To know and use the result for the sums of the squares of roots.

A 'Teach Further Maths Resource 65 slides To know the relationship between the roots of a polynomial equation and its coefficients. To be able to find polynomial equations with related roots. To know and use the result for the sums of the squares of roots.

A 'Teach Further Maths' Resource 73 slides To be able to convert Polar form to Cartesian form. To be able to convert Cartesian form to Polar form. To use integration to find areas bound by Polar curves. To be able to find equations of tangents at the pole. To be able to find equations of tangents parallel (or perpendicular) to the initial line.

A ‘Teach Further Maths’ Resource 73 slides To be able to convert Polar form to Cartesian form. To be able to convert Cartesian form to Polar form. To use integration to find areas bound by Polar curves. To be able to find equations of tangents at the pole. To be able to find equations of tangents parallel (or perpendicular) to the initial line.

A 'Teach Further Maths' Resource 46 slides Lesson Objectives: To be able to sketch curves for certain rational functions. Find the regions for which certain rational functions actually exist. Find stationary points without the use of calculus.

A ‘Teach Further Maths’ Resource 46 slides Lesson Objectives: To be able to sketch curves for certain rational functions. Find the regions for which certain rational functions actually exist. Find stationary points without the use of calculus.

A 'Teach Further Maths' Resource Lesson Objectives: 64 slides To be able to use algebra to solve simple transformations problems. To be able to find matrices associated with common matrix transformations. To be able to describe transformations represented by certain matrices.

A ‘Teach Further Maths’ Resource 64 slides Lesson Objectives: To be able to use algebra to solve simple transformations problems. To be able to find matrices associated with common matrix transformations. To be able to describe transformations represented by certain matrices.