A 'Teach Further Maths' Resource 35 Slides To recall the derivatives of hyperbolic functions. To be able to integrate hyperbolic functions. To recognise integrals which integrate to inverse hyperbolic functions.

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’ 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 64 slides To understand simple matrix terminology e.g. ‘matrix’, ‘order’. To be able add, subtract and multiply compatible matrices. To be able to ascertain whether or not matrix multiplication is commutative/associative. To know and use the properties of ‘square’, ‘identity’ and ‘zero’ matrices.

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 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.

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 39 slides Lesson Objectives: To be able to deduce trig. ratios of 30, 45 and 60 degrees respectively. To know the relationships sin θ = cos (90-θ) and cos θ = sin(90-θ). To be able to write trig. ratios as trig. ratios of acute angles. To understand what is meant by ‘odd functions’ and ‘even functions’.

A ‘Teach Further Maths’ Resource 41 slides Lesson Objectives: To recall how to solve simple inequalities. To be able to solve inequalities involving rational expressions

A ‘Teach Further Maths’ Resource 22 slides Lesson Objectives: To know what is meant by an ‘improper integral’. To know how to find certain improper integrals.

A ‘Teach Further Maths’ Resource 64 slides To understand simple matrix terminology e.g. ‘matrix’, ‘order’. To be able add, subtract and multiply compatible matrices. To be able to ascertain whether or not matrix multiplication is commutative/associative. To know and use the properties of ‘square’, ‘identity’ and ‘zero’ matrices.

A ‘Teach Further Maths’ Resource: 32 slides Lesson Objectives: To understand what is meant by an ‘asymptote’. To know how to find the equations of horizontal asymptotes. To know how to find the equations of vertical asymptotes. To be able to sketch the graphs of some rational functions.

A ‘Teach Further Maths’ Resource 39 slides Lesson Objectives: To be able to deduce trig. ratios of 30, 45 and 60 degrees respectively. To know the relationships sin θ = cos (90-θ) and cos θ = sin(90-θ). To be able to write trig. ratios as trig. ratios of acute angles. To understand what is meant by ‘odd functions’ and ‘even functions’.

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 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 34 slides Lesson Objectives: To be able to solve inequalities involving rational expressions using a graphical method.

A 'Teach Further Maths' Resource 22 slides Lesson Objectives: To know what is meant by an ‘improper integral’. To know how to find certain improper integrals.

A 'Teach Further Maths' Resource. 25 slides Lesson Objectives: To recall the laws of logarithms. To be able to use logarithms to reduce certain relations to linear laws.

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.