DP IB Analysis & Approaches (AA): SL Exam Questions By Topic

Standard Form, Laws of Indices

Introduction to Logarithms, Laws of Logarithms, Solving Exponential Equations

Language of Sequences & Series, Sigma Notation, Arithmetic Sequences & Series, Geometric Sequences & Series, Applications of Sequences & Series, Compound Interest & Depreciation

Proof

Binomial Coefficients & Pascal's Triangle, Binomial Theorem

Equations of a Straight Line, Parallel & Perpendicular Lines

Quadratic Functions, Factorising Quadratics, Completing the Square, Solving Quadratic Equations, Quadratic Inequalities, Discriminants

Language of Functions, Composite Functions, Inverse Functions, Graphing Functions & Their Key Features, Intersecting Graphs

Reciprocal & Rational Functions, Exponential & Logarithmic Functions, Solving Equations Analytically, Solving Equations Graphically, Modelling with Functions

Translations of Graphs, Reflections of Graphs, Stretches of Graphs, Composite Transformations of Graphs

Coordinate Geometry, Arcs & Sectors Using Degrees, Radian Measure, Arcs & Sectors Using Radians

3D Coordinate Geometry, Volume & Surface Area

Pythagoras & Right-Angled Trigonometry, Sine Rule, Cosine Rule & Area of a Triangle, Angles of Elevation & Depression, Bearings & Constructions

The Unit Circle, Exact Values

Graphs of Trigonometric Functions, Solving Equations Using Trigonometric Graphs, Transformations of Trigonometric Functions, Modelling with Trigonometric Functions

Simple Identities, Double Angle Formulae, Relationship Between Trigonometric Ratios, Linear Trigonometric Equations, Quadratic Trigonometric Equations

Sampling & Data Collection, Measures of Central Tendency, Measures of Dispersion, Frequency Tables, Linear Transformations of Data, Outliers, Box & Whisker Diagrams, Cumulative Frequency Graphs, Histograms, Interpreting Data

Scatter Diagrams & Correlation, Pearson's Product-Moment Correlation Coefficient, Linear Regression

Probability & Types of Events, Independent & Mutually Exclusive Events, Conditional Probability, Venn Diagrams, Tree Diagrams

Discrete Probability Distributions, Expected Values

The Binomial Distribution, Calculating Binomial Probabilities

The Normal Distribution, Calculations with Normal Distribution, Standardisation of Normal Variables & z-Values, Finding Unknown Parameters

Introduction to Derivatives, Differentiating Powers of x, Gradients, Tangents & Normals, Increasing & Decreasing Functions

Differentiating Special Functions, Chain Rule, Product Rule, Quotient Rule, Second Order Derivatives, Stationary Points, Concavity & Points of Inflection, Derivatives & Graphs

Introduction to Integration, Integrating Powers of x, Finding the Constant of Integration, Finding Areas Using a GDC

Integrating Special Functions, Reverse Chain Rule, Integration by Substitution, Definite Integrals, Negative Integrals, Area Between a Curve and a Line, Area Between 2 Curves

Modelling with Differentiation

Displacement, Velocity & Acceleration, Calculus for Kinematics