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’ Reesource 38 Slides To be able to use MacLaurin’s Series to find series expansions. To be able to find the Ranges of Validity for certain series.

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 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 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 45 Slides To recall the concept of a ‘limit’. To be able to use MacLaurin’s series expansions to find certain limits. To know and use two special limits

A ‘Teach Further Maths’ Resource 38 Slides To understand the chain rule when using first and second order derivatives. Use a substitution in conjunction with the chain rule to solve certain second order differential equations.

A ‘Teach Further Maths’ Resource To be able to model simple harmonic motion using 2nd order differential equations. To be able to model damped (and forced) oscillations using 2nd order differential equations. (38 Slides)

A ‘Teach Further Maths’ Resource To understand and use the Mean Value Theorem for integration. To understand the term ‘Root Mean Square Value’ and know how to calculate it for certain functions. (37 Slides)

A ‘Teach Further Maths’ Resource To be able to find the distance between 2 parallel lines. To be able to find the distance between 2 skew lines. (33 Slides)

A 'Teach Further Maths' Resource 66 Slides To understand ‘scalar product’ and be able to calculate it. To be able to find the angle between two vectors using the scalar product To use the scalar product to show whether two lines are perpendicular or not. To be able to prove whether or not two lines intersect and, if they do, find their point of intersection. To understand what is meant when we say that 2 lines are ‘skew’. To be able to prove whether or not 2 lines are skew. To be able to solve simple vector problems involving scalar product and other simple vector properties.

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 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 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 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 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 13 Slides To be able to solve hyperbolic equations.

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.