Maths-support's Centre
I am a Mathematics teacher, 22 years experience in KS3, IGCSE and IB Diploma, Studies, Standard Level and Higher Level. You will find many resources for different levels
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I am a Mathematics teacher, 22 years experience in KS3, IGCSE and IB Diploma, Studies, Standard Level and Higher Level.
You will find many resources for different levels
All resources
Circle theorems
Power Point presentation, 25 slides, Explaining with examples the following circle theorems: The angle in a semicircle, The chord of a circle, Radius-tangent, Tangents from an external point, The angle at the centre, Angles subtended by the same arc, Opposite angles in a cyclic quadrilateral. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlZFc4blpDVGpuc3c/view?usp=sharing
Limits at infinity – Exponential functions – AP
PowerPoint presentation, 13 slides explaining how to calculate the limit as the function approaches either to positive or negative infinity for exponential functions. It includes a worksheet with 10 questions as exercise for the lesson along with the corresponding answer sheet.
Introduction to the concept of limits - AP
PowerPoint presentation, 12 slides explaining the concept of limits and the steps to find the limit of a function. It includes a worksheet with 18 questions as exercise for the lesson along with the corresponding answer sheet.
Limits at Infinity – transcendental functions – AP
PowerPoint presentation, 13 slides explaining how to calculate the limit as the function approaches either to positive or negative infinity for transcendental functions: logarithmic and trigonometric functions. It includes a worksheet with 10 questions as exercise for the lesson along with the corresponding answer sheet.
Limits at infinity – Polynomial functions – AP
PowerPoint presentation, 13 slides explaining how to calculate the limit as the function approaches either to positive or negative infinity of polynomial functions. It includes a worksheet with 10 questions as exercise for the lesson along with the corresponding answer sheet.
Infinite Limits – AP
PowerPoint presentation, 9 slides explaining the concept of vertical asymptote and infinite limits. It includes a worksheet with 10 questions as exercise for the lesson along with the corresponding answer sheet.
Review Questions IGCSE (0607)
Set of 10 worksheets 20 question each, along with the answers, to be used to revise with the student. All the sheets have past paper questions. Good resource for the students to revise most of the topics:
Algebraic manipulation,
Expanding brackets and factorising,
Surds.
Speed, distance and time,
Gradient and equation of the straight line,
Algebraic fractions,
Area and perimeter of 2-D shapes,
Polygons,
Pythagoras' theorem
Probablity - Tree diagrams
Compound interest,
Volume and surface area,
Cylinder, cone and sphere,
Percentages,
Sequences,
Standard form,
Simultaneous equations,
Rearranging formulae,
Area of a sector and length of an arc.
They are zipped in a file, so you will need a software to unzip it. For a preview of the homework sheets, copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlcDJZTDU1R2xmdGM/view?usp=sharing
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Sets theory and Venn diagrams
% Power point presentations on:
Introduction to set theory
The number sets
Union and intersection of sets
Shading regions in Venn diagrams
Solving rpoblem using Venn diagrams
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Transformations
Power point presentations on Transformations:
- Reflection
- Rotation
- Enlargement
- Stretch
- Transformation of functions
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Integration
Power point presentations:
Antiderivative and the definite integral
Integration of f(x) = 1/x; f(x) = e^x and compositions with the linear function ax + b
Integrating by substitution
The fundamental theorem of calculus
Area under the curve, Properties of definite integrals
Integration - Area between two curves
Integration - Volume of revolution
Solving problems using definite integration
Integration of sine and cosine
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Differentiation
16 Powerpoints presentation for the following topics:
Limits and convergence
Basic rules for derivative
The equations of tangent and normal lines
Basic rules of derivatives
The derivative of e^x and the derivative of ln x
The product rule
The quotient rule
The chain rule for composite functions
The second derivative and higher order derivatives
Rate of change
Velocity and acceleration functions
Relative and global extrema
Concavity
Sketching a graph
Optimisation problems