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.
These are the memoirs of a grandad and his grandson describing the different lives they led due to different circumstances. Also a theory on time displacement (time travel) and assorted poems
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
• 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
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.
Powerpoint presentation for use at parents’evenings. Contains various slides that can be used as talking points with parents. Targets, attitudes , how to improve etc
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 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.