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Teach Further Maths

'Teach Further Maths' is a suite of Maths PowerPoint presentations for Teachers and Students of Further Mathematics A Level, AS Level or equivalent. 50 high quality, fully animated colour further maths PowerPoint presentations, consisting of over 2000 slides - a comprehensive teaching resource. PowerPoints covering many of the major topics from modules FP1, FP2, FP3 and FP4 (e.g. 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. 50 high quality, fully animated colour further maths PowerPoint presentations, consisting of over 2000 slides - a comprehensive teaching resource. PowerPoints covering many of the major topics from modules FP1, FP2, FP3 and FP4 (e.g. Polar Coordinates, Matrices, Differential Equations etc...) Complete further maths A level lessons ready to deliver
Roots of Polynomials
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Roots of Polynomials

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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.
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.
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
Further Vectors 4 (A-Level Further Maths)
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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.
Further Vectors 2 (A-Level Further Maths)
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Further Vectors 2 (A-Level Further Maths)

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A 'Teach Further Maths' Resource 66 Slides To understand ‘scalar product’ and be able to calculate it. To be able to find the angle between two vectors using the scalar product To use the scalar product to show whether two lines are perpendicular or not. To be able to prove whether or not two lines intersect and, if they do, find their point of intersection. To understand what is meant when we say that 2 lines are ‘skew’. To be able to prove whether or not 2 lines are skew. To be able to solve simple vector problems involving scalar product and other simple vector properties.
Matrices and Linear Transformations (A-Level Further Maths)
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Matrices and Linear Transformations (A-Level Further Maths)

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A Teach Further Maths' Resource 73 Slides To understand what is meant by a ‘transformation’. To understand what is meant by a ‘linear transformation’. To be able to show that a given transformation is linear. To understand what is meant by an ‘inverse transformation’. To be able to find the inverse of a given linear transformation. To be able to find matrices that represent given linear transformations. To be able to find matrices that represent composite linear transformations. To understand what is meant by ‘invariant points’ and ‘invariant lines’. To be able to find invariant points/lines for a given transformation matrix. To be able to find matrices representing inverse linear transformations. To be able to find matrices representing inverse of composite linear transformations. To understand how to find the transpose of a matrix.
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.
Further Vectors 1 (A-Level Further Maths)
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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.
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
Second Order Differential Equations (A-Level Further Maths)
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Second Order Differential Equations (A-Level Further Maths)

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A 'Teach Further Maths' Resource. 78 slides To understand what is meant by a ‘second order differential equation’. To be able to solve some second order differential equations using the auxiliary equation. To be able to solve some second order differential equations by finding a complementary function and a particular integral.
Inverse Matrices and Determinants (A-Level Further Maths)
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Inverse Matrices and Determinants (A-Level Further Maths)

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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 Matrices and Determinants
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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.
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.
First Order Differential Equations (A-Level Further Maths)
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First Order Differential Equations (A-Level Further Maths)

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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.
Exact Values of Trig. Ratios
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Exact Values of Trig. Ratios

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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’.