Introduction

IB Math focuses on introducing important mathematical concepts through the development of mathematical techniques. The intention is to introduce students to these concepts in a comprehensible and coherent way, rather than insisting on mathematical rigour. Students should wherever possible apply the mathematical knowledge they have acquired to solve realistic problems set in an appropriate context. The majority of students will expect to need a sound mathematical background as they prepare for future studies in subjects such as Physics, Chemistry, Analytics, Economics and Business Administration,…

Objectives
Systematize the core knowledge of the subject
Become familiar with most IB exam formats
Reduce pressure and study time
Improve scores effectively
Enhance independant thinking
Create a solid foundation for higher education
Characteristics
Quality teachers with extensive knowledge about students psychology
Teaching programs are based on international standards
Exclusive materials that closely follow the IB formats
Personalized teaching method according to student progress
Commitment on IB pass grade
EE, IA, TOK completion support
Course content
Topic 1: Measuring space: accuracy and geometry
1.1 Representing numbers exactly and approximately
1.2 Angles and triangles
1.3 Three dimensional geometry
Topic 2: Representing and describing data: descriptive statistics
2.1 Collecting and organizing data
2.2 Statistical measures
2.3 ................................
Topic 3: Dividing up space: coordinate geometry, Voronoi diagrams, vectors, lines
3.1 Coordinate geometry in 2 and 3 dimensions
3.2 The equation of a straight line in 2 dimensions
3.3 ................................
Topic 4: Modelling constant rates of change: linear functions and regressions
4.1 Functions
4.2 Linear models
4.3 ................................
Topic 5: Quantifying uncertainty: probability
5.1 Reflecting on experiences in the world of chance. First steps in the quantification of probabilities
5.2 Representing combined probabilities with diagrams
5.3 ................................
6 Modelling relationships with functions: power and polynomial functions
6.1 Quadratic models
6.2 Problems involving quadratics
6.3 ................................
Topic 7: Modelling rates of change: exponential and logarithmic functions
7.1 Geometric sequences and series
7.2 Financial applications of geometric sequences and series
7.3 ................................
Topic 8: Modelling periodic phenomena: trigonometric functions and complex numbers
8.1 Measuring angles
8.2 Sinusoidal models:
f(x) = a sin (b (x-c)) + d
8.3 ................................
Topic 9: Modelling with matrices: storing and analysing data
9.1 Introduction to matrices and matrix operations
9.2 Matrix multiplication and Properties
9.3 ................................
Topic 10: Analyzing rates of change: differential calculus
10.1 Limits and derivatives
10.2 Differentiation: further rules and techniques
10.3 Applications and higher derivatives
Topic 11: Approximating irregular spaces: integration and differential equations
11.1 Finding approximate areas for irregular regions
11.2 Indefinite integrals and techniques of integration
11.3 ................................
Topic 12: Modelling motion and change in two and three dimensions
12.1 Vector quantities
12.2 Motion with variable velocity
12.3 ................................
Topic 13: Representing multiple outcomes: random variables and probability distributions
13.1 Modelling random behaviour
13.2 Modelling the number of successes in a fixed number of trials
13.3 ................................
Topic 14: Testing for validity: Spearman's, hypothesis testing and X2 test for independence
14.1 Spearman's rank correlation Coefficient
14.2 Hypothesis testing for the binomial probability, the Poisson mean and the product moment correlation coefficient
14.3 ................................
Topic 15: Optimizing complex networks: graph theory
15.1 Constructing graphs
15.2 Graph theory for unweighted graphs
15.3 ................................
Topic 16: Exploration
16.1 Practice exam paper 1
16.2 Practice exam paper 2
16.3 Practice exam paper 3

Student achievement

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