Power point presentations on Transformations: - Reflection - Rotation - Enlargement - Stretch - Transformation of functions

Presentations for IB Standard level Mathematics covering the following objectives: Concept of discrete random variables and their probability distributions. Expected value for dicrete data. Binomial distribution and its mean and variance. Normal distribution, Standardization of normal variables, and inverse normal calculations

Six presentations: Trigonometric ratios Special angles Applications 3D trigonometry Sine rule Cosine rule

6 Power point presentations introducing to functions with the following topics: - Introduction to functions - Function notation - The domain and the range - Composite functions - The inverse function -Transformations of functions

9 Power point presentations including: Arithmetic and geometric sequences. Arithmetic and geometric series. Applications

10 Power point presentations including the following topics: - Solving quadratic equations by: - Factorisation - Completing the square - Using the quadratic equation - Using GDC - Roots of quadratic equations. The discriminant - Quadratic graphs - Finding the equation of a quadratic function from a graph - Applications of quadratic functions

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

Including all the Power point presentations for the Topic 1 - Algebra based on the IB Mathematics SL Syllabus. The sub topics are: Patterns and Sequences Arithmetic sequences Geometric sequences Sigma notation Arithmetic series Geometric series Convergent series and sums to infinity Applications of geometric and arithmetic patterns Exponents Solving exponential equations Properties of logarithms Laws of logarithms Change of base Exponential and logarithmic equations Pascal triangle Binomial expansion

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

Including all the Power point presentations for the Topic 2 -Functions and equations, based on the IB Mathematics SL Syllabus. The sub topics are: Introducing functions The Domain and the Range Function Notation Composite functions Inverse functions Transforming functions Solving quadratic equations The quadratic formula Roots of quadratic equations Quadratic graphs y=ax2+bx+c Quadratic graphs y=a(x-h)2+k Quadratic graphs y=a(x-p)(x-q) Finding the equation of a quadratic function from a graph The reciprocal function Rational functions Exponential functions Transformations of Exponential functions Logarithmic functions Applications of exponential and logarithmic functions