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Teach Further Maths

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'Teach Further Maths' is a suite of Maths PowerPoint presentations for Teachers and Students of Further Mathematics A Level, AS Level or equivalent. 68 high quality, fully animated colour further maths PowerPoint presentations, consisting of over 3000 slides - a comprehensive teaching resource. PowerPoints covering all of the major topics from the syllabi - Polar Coordinates, Matrices, Differential Equations etc...) Complete further maths A level lessons ready to deliver

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'Teach Further Maths' is a suite of Maths PowerPoint presentations for Teachers and Students of Further Mathematics A Level, AS Level or equivalent. 68 high quality, fully animated colour further maths PowerPoint presentations, consisting of over 3000 slides - a comprehensive teaching resource. PowerPoints covering all of the major topics from the syllabi - Polar Coordinates, Matrices, Differential Equations etc...) Complete further maths A level lessons ready to deliver

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Hyperbolic Functions
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Hyperbolic Functions

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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.
DeMoivre's Theorem and Applications 1
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DeMoivre's Theorem and Applications 1

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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.
More First and Second Order Differential Equations 2
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More First and Second Order Differential Equations 2

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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.
More First and Second Order Differential Equations
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More First and Second Order Differential Equations

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A 'Teach Further Maths' Resource 30 Slides To be able to solve certain first order differential equations using a complementary function and a particular integral. To use a change of variable to solve some first and second order differential equations.
Parabolas, Ellipses and Hyperbolas
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Parabolas, Ellipses and Hyperbolas

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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.
Complex Roots of Polynomials with Real Coefficients
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Complex Roots of Polynomials with Real Coefficients

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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.
Differentiation of Hyperbolic Functions
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Differentiation of Hyperbolic Functions

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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.
Inverse Trigonometric Functions
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Inverse Trigonometric Functions

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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
Composite Geometric Transformations Using Matrices
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Composite Geometric Transformations Using Matrices

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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.
Diagonalisation of a Matrix
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Diagonalisation of a Matrix

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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.
Calculus (A-Level Maths)
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Calculus (A-Level Maths)

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A 'Teach Further Maths' Resource 31 Slides To be able to find the gradient of a curve at any point from first principles.
Matrix Transformations
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Matrix Transformations

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A 'Teach Further Maths' Resource Lesson Objectives: 64 slides 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.
Numerical Methods (A-Level Maths/Further Maths)
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Numerical Methods (A-Level Maths/Further Maths)

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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.
Composite Geometric Transformations Using Matrices (A-Level Further Maths)
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Composite Geometric Transformations Using Matrices (A-Level Further Maths)

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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.
Differentiation of Hyperbolic Functions (A-Level Further Maths)
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Differentiation of Hyperbolic Functions (A-Level Further Maths)

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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.