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 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 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.

A ‘Teach Further Maths’ Resource 36 Slides To be able to differentiate hyperbolic functions. To be able to sketch graphs of hyperbolic functions. To be able to differentiate inverse hyperbolic functions. To be able to sketch graphs of inverse hyperbolic functions. To write inverse hyperbolic functions in logarithmic form.

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 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 31 Slides To understand what is meant by hyperbolic functions. To be able to sketch graphs of hyperbolic functions. To be able to establish hyperbolic identities. To understand Osborn’s Rule.

A ‘Teach Further Maths’ Resource 47 Slides To understand and use Sigma notation. To be able to derive and use the formula for ∑r. To be able to use the formulae for ∑r2 and ∑r3. To be able to solve series questions requiring algebraic manipulation.

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 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 solve geometric problems using DeMoivre’s Theorem. (57 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 To be able to derive and use reduction formulae for integration. (47 Slides)

A ‘Teach Further Maths’ Resource To be able to use L’Hôpital’s Rule to evaluate certain limits of indeterminate form. (36 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 To be able to consider determinants of 2x2 matrices and 3x3 matrices geometrically. (30 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)