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Courses
IB Mathematics studies
IB Mathematics SL
IB Mathematics HL
IB Further Mathematics HL
Downloads
IB Mathematics studies – SD formula booklet, SD TI84 instructions, SD TINspire instructions, SD Casio instructions
IB Mathematics SL – Math SL Booklet 2016, Math SL Revision Checklist, SL TI84 instructions, SL TINspire instructions, SL Casio instructions
IB Mathematics HL – HL formula booklet, HL TI84 instructions, HL TINspire instructions, HL Casio instructions
IB Further Mathematics HL – FM formula booklet, FM TI84 instructions, FM TINspire instructions, FM Casio instructions

IB Mathematics studies
 Number and algebra
 1.1 Types of numbers
 1.2 Approximation: decimal places, significant
figures, Percentage errors, Estimation  1.3 Standard form
 1.4 SI system and basic units of measurement
 1.5 Currency conversions
 1.6 Use of a GDC to solve; pairs of linear equations in two variables, quadratic equations.
 1.7 Arithmetic sequences and series, and their applications
 1.8 Geometric sequences and series
 1.9 Financial applications of geometric sequences and series: compound interest, annual depreciation
 Descriptive statistics
 2.1
 Logic, sets and probability
 Statistical applications
 Geometry and trigonometry
 Mathematical models
 Introduction to differential calculus
 Number and algebra

IB Mathematics SL
Prior learning
1. Algebra
 1.1 Sequences and series
 1.2 Exponents and logarithms
 1.3 Binomial theorem
2. Functions and equations
 2.1 Concept of a fuction, composite functions
 2.2 Graphs of functions
 2.3 Transformations of graphs
 2.4 Quadratic functions
 2.5 Reciprocal functions, rational functions
 2.6 Exponential, logarithm functions and their graphs
 2.7 Solving equations, both graphically and
analytically, solving quadratic and exponential equations  Applications of graphing skills
3. Circular functions and trigonometry
 3.1 The circle: radian measure of angles; length of
an arc; area of a sector  3.2 Definition of cosθ and sinθ in terms of the unit circle.
 3.3 Trigonometric identities – Pythagorean, double angle
 3.4 Circular functions sinx, cosx and tanx. Composite functions, transformations and applications
 3.5 Solving trigonometric equations graphically and analytically
 3.6 Sine rule, consine rule, area of a triangle and applications
4. Vectors
 4.1 Vectors in 2D and 3D, components of a vector, vector algebra, magnitude of a vector, unit vectors
 4.2 Scalar product, parallel and perpendicular vectors, angle between two vectors
 4.3 Vector equation of a line in two and three
dimensions, angle between two lines  4.4 Distinguishing between coincident and parallel
lines, intersection of two lines
5. Statistics and probability
 5.1 Concepts of population, sample, random
sample, discrete and continuous data. Presentation of data, boxandwhisker plots. Grouped data  5.2 Statistical measures and their interpretations, Dispersion, Applications
 5.3 Cumulative frequency; cumulative frequency graphs; use to find median, quartiles, percentiles.
 5.4 Linear correlation of bivariate data, Pearson’s product–moment correlation coefficient r, Scatter diagrams, Equation of the regression line, Use of the equation for prediction purposes.
 5.5 Concepts of trial, outcome, equally likely
outcomes, sample space (U) and event, probability of an event, complementary events, Venn diagrams, tree diagrams  5.6 Combined events, Mutually exclusive events, Conditional probability, Independent events, Probabilities with and without replacement
 5.7 Concept of discrete random variables and their
probability distributions, expected value for discrete data, applications  5.8 Binomial distribution and it’s mean and variance
 5.9 Normal distributions and curves, Standardization of normal variables, Properties of the normal distribution
6. Calculus
 6.1 Limit and convergence, limit notation, derivative from first principles, gradient function and the rate of change, tangents and normals.
 6.2 Derivatives of algebraic, trigonometric, exponential and logarithmic funtions, chain rule, product rule, second derivative, extension to higher derivatives.
 6.3 Local maximums and minimums and tests, Points of inflexion, graph’s of functions, optimisation, applications
 6.4 Indefinite integration, integration of algebraic, trigonometric and exponential functions, Integration by inspection or substitution.
 6.5 Antidifferentiation with a boundary condition, Definite integrals, areas under curves, volumes of revolution
 6.5 Kinematic problems involving displacement s,
velocity v and acceleration a, total distance travelled
IB Mathematics HL
 IB Further mathematics HL