IB Math Studies Syllabus

For Examinations beginning in May 2000

All topics in the core are compulsory. Candidates are required to study all the sub-topics in each of the six topics in this part of the syllabus.

1. Number and Algebra (15 hours)
   • Number sets
   • Approximation, estimation and rounding
   • Scientific (standard) notation and SI unit of measurement
   • Arithmetic and geometric sequences
   • Solution of one variable equations through quadratics and linear inequalities
2. Sets and Logic (12 hours)
   • Venn diagrams
   • Symbolic notation
   • Truth tables, validity, tautologies and logical equivalencies
   • Converse, inverse and contrapositive
3. Geometry and Trigonometry (15 hours)
   • Coordinates in up to 3 dimensions including angles and distances and the geometry of 3 dimensiona; figures
   • Coordinate geometry of lines in 2 dimesions
   • Non-right triangle trigonometry
   • Basic Vectors
4. Statistics and Probability (25 hours)
   • Continuous and discrete data; grouped and simple; frequency tables and histograms including relative frequency; cumulative frequency tables and graphs, quartiles and percentiles
   • Measures of central tendency and dispersion
   • Scattergrams and line of best fit by eye
   • Probability including complementary events, combined events and conditional probability and the use of Venn diagrams and/or tree diagrams
5. Functions (20 hours) - the following functions are expected, graphing, domain and range of:
   • linear (including inequalities)
   • piecewise, step, continuous
   • quadratic
   • sinusiodal - amplitude, period and vertical shift
   • basic exponential
6. Financial Mathematics (13 hours)
   • currency conversion
   • simple and compound interest and use of tables for repayment schemes
   • linear programming

Part II: Options (25 hours)

Candidates are required to study all the sub-topics in one of the following options.

1. Matrices and Graph Theory
   • Basic matrix vocabulary
   • Transpose, determinant and basic matrix arithmetic
   • Use as holder of data
   • Graph theory - basic vocabulary
2. Further Statistics and Probability
   • . normal distribution, z-scores and applications
   • Bivariate data, correlation and regression
   • Chi squared test for independence and on normal distribution
3. Introductory Differential Calculus
   • derivative as the limit of the gradient function
   • derivative of polynomials
   • using derivative to find the instantaneous slope at a given point, related rates, increasing, decreasing, relative minima and maxima and relationship of velocity and acceleration
   • antiderivative as the inverse of the derivative

Project (25 hours)

An individual peice of work involving the collection and/or generation of data, and the analysis and evaluation of that data.

Jump To:

[Higher Level Math Syllabus]

[Math Methods Syllabus]