# Mark Barton's Shop

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

#### Integration - revision and practice

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Revision of integration for A level year 2 exams.

#### Magic Squares

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A problem solving activity for GCSE mathematics students.

#### The R Formula

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How to use harmonic form to solve equations of the form acosX +bsinX = c.

#### 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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These study units cover the theory of inequalities for AS and A level mathematics.

#### The binomial distribution and hypothesis testing

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This collection covers required knowledge of the binomial distribution and hypothesis testing for the mean of a binomial distribution for A level mathemtics students.

#### 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

#### Introducing Algebra

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Getting started with algebra. How to represent situations algebraically.

#### 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.

#### The Twelve Days of Christmas

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An A level maths Christmas activity. May also suit higher GCSE students intending to do A level.

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

#### Points of Inflection

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Investigate points of inflection with geogebara interactives.

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

#### Stationary Points

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Use differential calculus to find local maxima and minima.

#### 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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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.