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 53 Slides To be able to sketch loci on an Argand Diagram.

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 17 Slides To understand the Method of Differences. To be able to use the Method of Differences to prove results for the summation of 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 41 slides Lesson Objectives: To be able to reduce various relations to linear laws.

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 43 Slides To be able to find the distance between 2 points in 3 dimensions. To be able to derive and use a useful formula for a point dividing a line in a given ratio. To understand when 2 (or more) vectors are parallel. To be able to find vector equation of a line in vector form. To be able to find vector equation of a line in Cartesian form. To be able to convert vector equations from vector form to Cartesian form and vice versa. To understand what direction ratios are.

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: 55 Slides To be able to find angle between a line and a plane To be able to find angle between 2 planes. To be able to find the equation of the line of intersection of 2 planes.

A 'Teach Further Maths' Resource: 51 Slides To be able to find the Equation of a Plane in Scalar Product form. To be able to find the Equation of a Plane in Cartesian form. To be able to find the Equation of a Plane in Parametric form. To be able to find the Perpendicular Distance from a Point to a Plane.

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 41 slides Lesson Objectives: To be able to reduce various relations to linear laws.

A 'Teach Further Maths' Resource 49 Slides To understand the method of Mathematical Induction. To use Induction to prove results for summation of series. To use Induction to prove results from other areas. Last updated 23 Jan 2016, created 23 Jan 2016

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 12 slides Lesson Objectives: To understand what is meant by an ‘improper integral’. To be able to evaluate simple improper integrals.

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 31 Slides Lesson Objectives: To be able to find the gradient of a curve at any point from first principles.

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.