# Mark Barton's Shop

A tutor for GCSE and A level mathematics.

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A tutor for GCSE and A level mathematics.

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A tutor for GCSE and A level mathematics.

A problem solving activity for GCSE mathematics students.

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

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

Getting started with algebra. How to represent situations algebraically.

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.

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

Investigate points of inflection with geogebara interactives.

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

Revision of integration for A level year 2 exams.

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

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

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.

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

Use differential calculus to find local maxima and minima.

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

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

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