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 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 24 Slides To be able to solve linear simultaneous equations by finding the inverse of a matrix. To appreciate that the determinant can be used to determine the existence (or not) of a unique solution for a system of linear simultaneous equations.

A 'Teach Further Maths' Resource 40 Slides To understand what is meant by ‘diagonal matrices’ and ‘symmetric matrices’. To understand what is meant by ‘diagonalising’ a matrix. To be able to deduce diagonalisability for simple 2x2 and 3x3 matrices. To be able to diagonalise a given symmetric matrix. To apply the method of diagonalisation to evaluate the power of a given symmetric matrix.

A 'Teach Further Maths' Resource 31 Slides To be able to find the gradient of a curve at any point from first principles.

A ‘Teach Further Maths’ Resource 20 Slides To find the length of a curve when the curve is given in Cartesian form. To find the length of a curve when the curve is given in Parametric form.

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 20 Slides To use the skills learnt so far to solve exam style polar geometry questions.

A 'Teach Further Maths' Resource 57 Slides To be able to solve first order differential equations of the form dy/dx = f(x) using the following ‘step by step’ methods: 1. Euler’s method 2. The Mid-Point method. 3. The Improved Euler method.

A ‘Teach Further Maths’ Resource 13 Slides To be able to solve hyperbolic equations.

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 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 57 Slides To be able to solve first order differential equations of the form dy/dx = f(x) using the following ‘step by step’ methods: 1. Euler’s method 2. The Mid-Point method. 3. The Improved Euler method.

A ‘Teach Further Maths’ Resource 36 Slides To be able to differentiate hyperbolic functions. To be able to sketch graphs of hyperbolic functions. To be able to differentiate inverse hyperbolic functions. To be able to sketch graphs of inverse hyperbolic functions. To write inverse hyperbolic functions in logarithmic form.

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 42 slides Lesson Objectives: To understand what is meant by ‘Polar Coordinates’. To be able to plot Polar Coordinates. To be able to sketch curves given in Polar form. To understand that some simple polar curves can be sketched without plotting points.

A 'Teach Further Maths' Resource 55 slides Lesson Objectives: To understand what is meant by an Argand Diagram. To understand what is meant by the Modulus and Argument of a complex number. To be able to divide one complex number by another complex number. To solve equations using Real and Imaginary parts. To understand what is meant by Modulus-Argument form. To multiply and divide complex numbers written in modulus-argument form.

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 42 slides Lesson Objectives: To understand what is meant by ‘Polar Coordinates’. To be able to plot Polar Coordinates. To be able to sketch curves given in Polar form. To understand that some simple polar curves can be sketched without plotting points.

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.