IB Study Guide: Mathematical Studies

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