A 'Teach Further Maths' Resource 61 slides Lesson Objectives: To understand and use the relationship between the roots and coefficients of a quadratic equation. To find quadratic equations with related roots.

A 'Teach Further Maths' Resource 57 Slides To find the cube roots of unity. To illustrate these cube roots on an Argand Diagram. To solve problems relating to the cube roots of unity. To find the nth roots of unity. To illustrate these nth roots on an Argand Diagram. To find the nth roots of any number.

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 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 54 Slides To understand what is meant by the ‘inverse’ of a matrix. To understand what is meant by the ‘determinant’ of a matrix. To be able to find the determinant of a 2x2 or 3x3 matrix. To be able to find the inverse of a 2x2 or 3x3 matrix. To be able to consider determinants of 2x2 matrices and 3x3 matrices geometrically.

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 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 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 37 slides Lesson Objectives: To understand what is meant by a linear, first order differential equation’. To recall how to solve some linear first order differential equations by separating variables. To know what is meant by a ‘Family of Solution Curves’. To know how to solve some linear first order differential equations using an integrating factor.

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 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 37 slides Lesson Objectives: To understand what is meant by an ‘imaginary number’. To be able to calculate with powers of i. To understand what is meant by a ‘complex number’. To be able to solve any quadratic equation. To know the condition for a quadratic equation to have complex conjugate solutions. To understand what is meant by an ‘Argand Diagram’. To be able to perform simple arithmetic with complex numbers. To be able to equate real and imaginary parts to solve some problems involving complex numbers.

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 37 slides Lesson Objectives: To understand what is meant by a linear, first order differential equation’. To recall how to solve some linear first order differential equations by separating variables. To know what is meant by a ‘Family of Solution Curves’. To know how to solve some linear first order differential equations using an integrating factor.

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.