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: To be able to derive the formulae for volumes of revolution about the coordinates axes To be able to calculate volumes of revolution about the coordinates axes. To be able to calculate more complicated volumes of revolution about the coordinates axes. (69 Slides)

A ‘Teach Further Maths’ Resource To be able to carry out reflections about one of the coordinate axes in 3 dimensions. To be able to carry out rotations about one of the coordinate axes in 3 dimensions. (40 Slides)

A ‘Teach Further Maths’ Resource To know and use the basic rules for simplifying determinants. To be able to factorise determinants. (57 Slides)

A ‘Teach Further Maths’ Resource To be able to apply the Rational Root Theorem to identify factors of polynomials. To be able to use Descartes’ Rule of Signs to identify the nature (signs) of roots of polynomials. To be able to solve inequalities involving cubic and quartic functions. (41 Slides)

A ‘Teach Further Maths’ Resource To be able to approximate the area under a curve using the Mid-Ordinate Rule. To be able to approximate the area under a curve using Simpson’s Rule. (51 Slides)

A ‘Teach Further Maths’ Resource: 50 Slides To be able to interpret geometrically the solution (and failure of solution) of 3 simultaneous linear equations: Students should be able to interpret, on analysis of the 3 equations, whether the 3 planes meet in a point meet in a line (forming a sheaf) form a prism are all parallel are such that 2 of the 3 planes are parallel. Students should be familiar with the terms ‘dependent‘, ‘consistent’ and ‘inconsistent’.

A ‘Teach Further Maths’ Resource 70 Slides To be able to recognise the equations for simple parabolas, ellipses and hyperbolas. To be able to sketch their graphs. To be able to perform simple transformations on these curves. To be able to find the equations of the asymptotes for simple hyperbolas.

A ‘Teach Further Maths’ Resource 43 Slides To recall how to multiply and divide complex numbers in Modulus-Argument form. To understand DeMoivre’s Theorem. To use DeMoivre’s Theorem to find powers of complex numbers. To use DeMoivre’s Theorem to establish trigonometric identities.

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

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

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.