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A tutor for GCSE and A level mathematics.

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A tutor for GCSE and A level mathematics.
Transformations
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Transformations

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Transforming shapes by translation, reflection, rotation and enlargement for GCSE marthematics.
Simultaneous Equations
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Simultaneous Equations

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Covers all requirements for GCSE level work on simultaneous equations. Higher level mudules are numberd 3H and 4H.
Inequalities
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Inequalities

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These study units cover the theory of inequalities for AS and A level mathematics.
Circle Theorems Part 1
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Circle Theorems Part 1

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First six circle theorems: Tangent and radius, tangents from a point, triangle formed by two radii Perpendicular bisector of a chord Angle in a semi circle Angles at centre and circumference
Prime Numbers
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Prime Numbers

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Do an activity to find all the prime numbers less than 100. Do activities involving prime numbers. Inversigate Goldbach’s Conjecture, a long unproven mathematical idea. Note: the students don’t need to know about Goldbach’s Conjecture for their GCSE.
Quadratic Equations
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Quadratic Equations

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(1)Solving quadraticequations by factorising (2)The quadratic formula (higher GCSE) (3)Completing the square (higher GCSE)
Quadratic Expressions
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Quadratic Expressions

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Expanding pairs of brackets to produce quadratic expressions. Factorising quadratic expressions. Factorising non-unitary quadratic expressions.
Quadratic Graphs
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Quadratic Graphs

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Covers quadratic graphs: (1) Drawing quadratic graphs (2) Solving quadratic equations graphically (3) Turning points (4) Transformations
Circle Theorems Part 2
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Circle Theorems Part 2

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Investigate and explore the last four circle theorems: Angles in the same segment Cyclic quadrilaterals Tangent and chord theorem Intersection of two chords
Trigonometric Graphs
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Trigonometric Graphs

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Learn the key features of the graphs of sin, cos and tan. Use the graphs to find solutions of trig equations in a given range. Investigate transformations of trig graphs with a Geogebra Interactive.