► Functions
Analysis & Approaches SL
Analysis & Approaches HL
| Linear Equations and Their Graphs |
| Quadratic Functions and Their Graphs | Solving Quadratic Equations and Inequalities |
| The Discriminant |
| Polynomial Functions, Their Equations and Graphs | The Factor and Remainder Theorems |
| The Sum and Product of the Roots of a Polynomial |
| Functions: Notation, Domain, and Range |
| Graphing and Sketching Functions |
| Key Features of Graphs |
| The Intersection of Graphs |
| Composite Functions | Rational Functions (Linear) and Their Graphs |
| Exponential and Logarithmic Functions and Their Graphs | Solving Equations Graphically and Analytically |
| Using Technology to Solve Equations |
| Rational Functions (Quadratic) and Their Graphs | Solving Inequalities Graphically and Analytically |
| Graphing Inverse Functions |
| Determining Inverse Functions | Transformations of Graphs |
| Composite Transformations |
| Odd and Even Functions | Domain Restrictions of Inverse Functions |
| Self Inverse Functions | Transformations Involving the Modulus Function |
| Transformations Involving Squaring | Reciprocal Functions |
| Modulus Equations and Inequalities |
► Geometry and Trigonometry
Geometry and Trigonometry
Analysis & Approaches SL
Analysis & Approaches HL
| Distance and Midpoint Between Two Points (2D & 3D) |
| Angles Between Lines, and a Line and Plane |
| Construction of Diagrams From Given Information |
| Vectors: Adding, Subtracting, Scalar Multiplication | Magnitude of Vectors |
| The Scalar and Vector Products | The Angle Between Two Vectors |
| The Vector Equation of a Line | The Relationship Between Two Lines |
| Equations of Planes | The Intersection of Planes, and Planes and Lines |
| The Angle Between Planes, and Planes and Lines |
| Right-Angled Triangle Trigonometry |
| The Sine and Cosine Rules |
| The Area of a Triangle |
| Circles: Radians, Arcs, Sectors | The Unit Circle |
| Exact Values of Trigonometric Ratios | The Ambiguous Case of the Sine Rule |
| Pythagorean and Double Angle Identities (sin and cos) | Circular Functions |
| Solving Trigonometric Equations | Quadratic Trigonometric Equations |
| Reciprocal Trigonometric Functions and Their Graphs | Inverse Trigonometric Functions and Their Graphs |
| Compound Angle Identities | Double Angle Identity for tan |
| Relationships Between Graphs of Trigonometric Functions |
| Volume and Surface Area of 3D Solids |
► Statistics and Probability