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I am a mathematics teacher with over 20 years if experience, teaching in uk and overseas. I try to help at all steps in a process.

I am a mathematics teacher with over 20 years if experience, teaching in uk and overseas. I try to help at all steps in a process.
Homework sheets
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Homework sheets

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Homework sheets and answers on Averages, Range, Ratio, Fractions, persentages and general arithmetic
Basics of Numbers
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Basics of Numbers

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23 pages covering Factors, HCF, LCM, Prime numbers,Triangular numbers, Square numbers, Indices rules and manipulation . Many examples and exercises with answers
Algebraic Functions
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Algebraic Functions

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You should be able to: • use letters to express generalised numbers • substitute numbers for words and letters in formulae • transform simple and more complicated formulae Algebraic manipulation You should be able to: • manipulate directed numbers • use brackets and extract common factors • expand products of algebraic expressions • factorise expressions • manipulate algebraic fractions Basic graphs of functions You should be able to: • demonstrate familiarity with Cartesian coordinates in two dimensions • interpret and obtain the coordinates of a straight line • construct tables of values and draw graphs of functions of the form y = ax where a is a rational number • understand graphs and symmetry and demonstrate an ability to reflect graphs of a given line After completing the lesson you should be able to: • understand the terms domain, range, one to one, inverse function and composite function • identify the range of a given function in simple cases • find the composition of two functions • determine whether or not a function is one to one • find the inverse of a one to one function in simple cases • illustrate graphically the relation between a one to one function and its inverse
graphs in practical situations
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graphs in practical situations

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• construct a tangent to a curve • use the tangent to estimate the gradient of the curve • use the gradient of the curve to determine rate of change • find the area under a curve, using the following methods: • using rectangles • using trapeziums • determine speed from a displacement/time graph • determine acceleration and displacement from a speed/time graph
Percentages and ratios
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Percentages and ratios

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lesson on ratios and percentages, including practice, explanations and answers. Real life problems/activities. teacher tips on percentages and ratios. Connection between rations and percentages. Percentage comparison to fractions.