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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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Partial Fractions and Integration
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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)
L’Hôpital’s Rule
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L’Hôpital’s Rule

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A ‘Teach Further Maths’ Resource To be able to use L’Hôpital’s Rule to evaluate certain limits of indeterminate form. (36 Slides)
Further Numerical Integration
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Further Numerical Integration

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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)
Inverse Trigonometric Functions (A-Level Further Maths)
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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
First Order Differential Equations
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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.
Matrix Solution of Simultaneous Equations 1 (A-Level Further Maths)
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Matrix Solution of Simultaneous Equations 1 (A-Level Further Maths)

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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.
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.
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.
Further Vectors 3 (A-Level Further Maths)
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Further Vectors 3 (A-Level Further Maths)

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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.
Roots of Polynomials (A-Level Further Maths)
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Roots of Polynomials (A-Level Further Maths)

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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.
Polar Coordinates 2 (A-Level Further Maths)
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Polar Coordinates 2 (A-Level Further Maths)

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A ‘Teach Further Maths’ Resource 73 slides To be able to convert Polar form to Cartesian form. To be able to convert Cartesian form to Polar form. To use integration to find areas bound by Polar curves. To be able to find equations of tangents at the pole. To be able to find equations of tangents parallel (or perpendicular) to the initial line.
Proof by Mathematical Induction
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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
Calculus (A-Level Maths)
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Calculus (A-Level Maths)

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