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Mathematical Studies for the IB Course Diploma

For the IB Diploma

Scott Genzer


This study guide will help students further understand basic concepts and will reinforce concepts already learned through excellent examples. With a wealth of questions from past IB exam papers, three completely new IB-style exams, graphing calculator help and test-taking advice from teachers and students, this book will help students thoroughly prepare for the exam.
Introduction Structure of the IB Mathematical Studies SL Exam Scoring of the IB Mathematical Studies SL Exam Hints from Irene, the IB Examiner Hints from Hana and Chris, the IB Students Hints from Scott, the IB teacher Topics of the syllabus Number and Algebra 1. Sequences and series - arithmetic 2. Sequences and series - geometric 3. Number sets 4. Approximation, significant figures, percentage errors, estimation 5. Scientific notation and the SI (metric) system 6. Word problems and systems of linear equations 7. Quadratic equations 8. Additional practice problems Sets, Logic and probability 1. Set theory and Venn diagrams 2. Logic symbols and statements 3. Truth Tables 4. Probability: harder problems (compound and conditional probability) 5. Additional practice problems Functions 1. Definition of a function, mapping diagrams, domain and range 2. Linear functions and graphs 3. Quadratic functions and graphs 4. Exponential functions and graphs 5. Trigonometric functions and graphs 6. Unfamiliar functions and graphs 7. Additional practice problems Geometry and trigonometry 1. Coordinates, midpoint and distant formulae 2. Equation of a line: forms, slope/gradient, perpendicular and parallel lines 3. Right-angled triangle trigonometry (SOHCAHTOA) 4. Sine rule and area of a triangle 5. Cosine rule 6. Geometry of 3-D shapes 7. Additional practice problems Statistics 1. Classification of date, frequency tables and polygons 2. Grouped data, histograms, stem-and-leaf plots 3. Cumulative frequencies, box-and-whisker plots 4. 1-variable statistical calculations 5. Linear regression (line of best fit) 6. Chi-squared independent test 7. Additional practice problems Introductory differential calculus 1. Differentiation and derivative of a polynomial 2. Equations of tangent lines, values of x when f is given 3. Increasing and decreasing functions, max/min problems (optimisation problems) 4. Additional practice problems Financial Mathematics 1. Currency conversion 2. Simple and compound interest 3. Loan and savings tables 4. Additional Practice problems Practice Exam IB Mathematical Studies SL Formula Booklet
Scott Genzer