# Teach Further Maths

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(based on 49 reviews)

'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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#### Length of a Curve (A-Level Further Maths)

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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.

#### Numerical Methods for 1st Order Differential Equations

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A 'Teach Further Maths' Resource 57 Slides To be able to solve first order differential equations of the form dy/dx = f(x) using the following ‘step by step’ methods: 1. Euler’s method 2. The Mid-Point method. 3. The Improved Euler method.

#### Area of Surface of Revolution (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource 22 Slides To find the area of surface of revolution for curves given in Cartesian form. To find the area of surface of revolution for curves given in Parametric form.

#### MacLaurin's Series

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A 'Teach Further Maths' Reesource 38 Slides To be able to use MacLaurin’s Series to find series expansions. To be able to find the Ranges of Validity for certain series.

#### 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

#### First Order Differential Equations

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A 'Teach Further Maths' Resource 37 slides Lesson Objectives: To understand what is meant by a linear, first order differential equation’. To recall how to solve some linear first order differential equations by separating variables. To know what is meant by a ‘Family of Solution Curves’. To know how to solve some linear first order differential equations using an integrating factor.

#### Partial Fractions and Integration

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A ‘Teach Further Maths’ Resource To recall previously encountered partial fractions methods (i.e. linear denominators and repeated linear denominators) To be able to find partial fractions when there is a quadratic term in the denominator. To be able to integrate expression using partial fractions. (47 Slides)

#### Reduction Formulae (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource To be able to derive and use reduction formulae for integration. (47 Slides)

#### 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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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.

#### 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.

#### Linear Laws

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A 'Teach Further Maths' Resource 41 slides Lesson Objectives: To be able to reduce various relations to linear laws.

#### Further Vectors 1 (A-Level Further Maths)

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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.

#### Further Vectors 4 (A-Level Further Maths)

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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.

#### Proof by Mathematical Induction

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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

#### Inverse Matrices and Determinants

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A 'Teach Further Maths' Resource 54 Slides To understand what is meant by the ‘inverse’ of a matrix. To understand what is meant by the ‘determinant’ of a matrix. To be able to find the determinant of a 2x2 or 3x3 matrix. To be able to find the inverse of a 2x2 or 3x3 matrix. To be able to consider determinants of 2x2 matrices and 3x3 matrices geometrically.

#### Inverse Trigonometric Functions (A-Level Further Maths)

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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

#### Trig. Ratios of Any Angle

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An excellent resource that shows alternative approaches to solving simple trig. ratio problems. Each problem is solved using (i) the CAST diagram (ii) a graphical approach (iii) a quick method. The PowerPoint begins with an explanation of how the CAST diagram works. These slides are aimed at the more inquisitive student and are not compulsory.

#### 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

#### Maths Hangman (Angles in Parallel Lines)

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This is always very popular with my pupils and could certainly be edited to suit any topic in any subject. I usually use this particular resource as a revision aid.