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

Useful calculator functions and ideas of how to use the calculator effectively

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.

• 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

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

A complete set of lessons on the use of irrational numbers. including examples and exercises complete with answers

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

This is a resource for year 6 to year 11 on estimating techniques and limits of accuracy. with clear examples and student practice, including answers. Diagrams are clear and self explanatory. and will benefit low ability and high ability students.

This is a resource dealing with all aspects of decimals and fractions, With examples, exercises with solutions. It is a complete resource for teachers to use to help students to understand the concepts of fractions and decimals.

This textbook contains all the materials needed to revise or teach the topics Vectors, matrices and transformations It will take you fro year 5 to year 11 and also serve as an introduction to AS level subjects. There countless examples with detailed solutions and student exercises with answers. Written in pupil friendly language.