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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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Exact Values of Trig. Ratios (GCSE/A-Level)
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Exact Values of Trig. Ratios (GCSE/A-Level)

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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’.
Improper Integrals 1
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Improper Integrals 1

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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.
Matrix Solution of Simultaneous Equations
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Matrix Solution of Simultaneous Equations

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A 'Teach Further Maths' Resource 24 Slides To be able to solve linear simultaneous equations by finding the inverse of a matrix. To appreciate that the determinant can be used to determine the existence (or not) of a unique solution for a system of linear simultaneous equations.
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.
Complex Numbers 2
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Complex Numbers 2

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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.
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DeMoivre's Theorem Bundle
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DeMoivre's Theorem Bundle

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4 Resources
DeMoivre’s Theorem and Applications 1,2,3 and 4. Comprehensive coverage of the theory and applications of DeMoivre’s Theorem for A-Level Further Maths.
The Mean Value Theorem (A-Level Further Maths)
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The Mean Value Theorem (A-Level Further Maths)

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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)
Volumes of Revolution (A-Level Further Maths)
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Volumes of Revolution (A-Level Further Maths)

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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)
Matrix Transformations in 3D
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Matrix Transformations in 3D

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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)
Volumes of Revolution
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Volumes of Revolution

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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)
Eigenvalues and Eigenvectors
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Eigenvalues and Eigenvectors

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A 'Teach Further Maths' Resource 54 Slides To understand what is meant by ‘eigenvalues’ and ‘eigenvectors’. To understand how to find the ‘characteristic equation’. To be able to find eigenvalues and eigenvectors for given 2x2 and 3x3 matrices. Understand what is meant by the terms ‘normalised eigenvectors’, ‘orthogonal eigenvectors’ and ‘orthogonal matrices’. To be able to show that a given matrix is orthogonal.
DeMoivre's Theorem and Applications 1 (A-Level Further Maths)
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DeMoivre's Theorem and Applications 1 (A-Level Further Maths)

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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.
Length of a Curve
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Length of a Curve

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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.
Limits of MacLaurin's Series
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Limits of MacLaurin's Series

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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
The Method of Differences
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The Method of Differences

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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.
Polar Coordinates 3
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Polar Coordinates 3

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A 'Teach Further Maths' Resource 20 Slides To use the skills learnt so far to solve exam style polar geometry questions.
Calculus
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Calculus

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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.
Finding the Centre of Rotation for 90 Degree Rotations
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Finding the Centre of Rotation for 90 Degree Rotations

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Pupils often find it difficult to visualise the centre of rotation for 90 degree rotations. So instead of the trial and error approach that they often employ, try this instead. I wrote this short PowerPoint presentation to demonstrate how it works. There are 3 examples and it finally makes use of the often redundant set square! Do let me know how it goes. Thanks Paul
Solving Linear Equations using Algebra Tiles
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Solving Linear Equations using Algebra Tiles

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I wrote this for those pupils who have difficulty with the traditional methods of solving linear equations, and it has gone down rather well so far. I found that some pupils didn't even need to use a set of algebra tiles. They were happy to simply visualise what was happening in the PowerPoint presentation whilst solving their equations. I hope it works for you.