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IBDP Maths AI SL

Study Notes

1. Number & Algebra

1.1.1 Types of Numbers 1.1.2 Advanced Arithmetic 1.1.3 Number Properties

1.2.1 Arithmetic Sequences Basics 1.2.2 Arithmetic Sequences Formulas 1.2.3 Geometric Sequences Basics 1.2.4 Geometric Sequences Formulas

1.3.1 Simple Interest Basics 1.3.2 Compound Interest Basics 1.3.3 Financial Scenarios

1.1.1 Types of Numbers 1.1.2 Advanced Arithmetic 1.1.3 Number Properties

1.2.1 Arithmetic Sequences Basics 1.2.2 Arithmetic Sequences Formulas 1.2.3 Geometric Sequences Basics 1.2.4 Geometric Sequences Formulas

1.3.1 Simple Interest Basics 1.3.2 Compound Interest Basics 1.3.3 Financial Scenarios

2. Functions

2.1.1 Slope Basics 2.1.2 Slope-Intercept Form 2.1.3 Point-Slope Form

2.2.1 Intercept Basics 2.2.2 Graph Analysis 2.2.3 Parallel and Perpendicular Lines

2.3.1 Creating Models 2.3.2 Analyzing Models

2.1.1 Slope Basics 2.1.2 Slope-Intercept Form 2.1.3 Point-Slope Form

2.2.1 Intercept Basics 2.2.2 Graph Analysis 2.2.3 Parallel and Perpendicular Lines

2.3.1 Creating Models 2.3.2 Analyzing Models

3. Geometry & Trigonometry
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3.1.1 Basic Shapes 3.1.2 Properties of Shapes 3.1.3 Coordinate Geometry

3.2.1 Types of 3D Shapes 3.2.2 Surface Area and Volume 3.2.3 Cross-sections

3.3.1 Trigonometric Ratios 3.3.2 Trigonometric Identities 3.3.3 Applications

3.4.1 Basics of Voronoi 3.4.2 Applications of Voronoi Diagrams

3.1.1 Basic Shapes 3.1.2 Properties of Shapes 3.1.3 Coordinate Geometry

3.2.1 Types of 3D Shapes 3.2.2 Surface Area and Volume 3.2.3 Cross-sections

3.3.1 Trigonometric Ratios 3.3.2 Trigonometric Identities 3.3.3 Applications

3.4.1 Basics of Voronoi 3.4.2 Applications of Voronoi Diagrams

4. Statistics & Probability
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4.1.1 Measures of Central Tendency 4.1.2 Measures of Spread 4.1.3 Data Representation

4.2.1 Types of Correlation 4.2.2 Calculating Correlation 4.2.3 Interpreting Correlation

4.3.1 Linear Regression 4.3.2 Predictions

4.4.1 Probability Basics 4.4.2 Compound Events 4.4.3 Conditional Probability

4.1.1 Measures of Central Tendency 4.1.2 Measures of Spread 4.1.3 Data Representation

4.2.1 Types of Correlation 4.2.2 Calculating Correlation 4.2.3 Interpreting Correlation

4.3.1 Linear Regression 4.3.2 Predictions

4.4.1 Probability Basics 4.4.2 Compound Events 4.4.3 Conditional Probability

5. Calculus
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5.1.1 Introduction to Derivatives 5.1.2 Differentiation Rules 5.1.3 Applications of Differentiation

5.2.1 Curve Sketching 5.2.2 Optimization Problems 5.2.3 Related Rates

5.3.1 Introduction to Integrals 5.3.2 Integration Rules 5.3.3 Definite and Indefinite Integrals

5.4.1 Areas Between Curves 5.4.2 Volumes of Revolution 5.4.3 Real-world Applications

5.1.1 Introduction to Derivatives 5.1.2 Differentiation Rules 5.1.3 Applications of Differentiation

5.2.1 Curve Sketching 5.2.2 Optimization Problems 5.2.3 Related Rates

5.3.1 Introduction to Integrals 5.3.2 Integration Rules 5.3.3 Definite and Indefinite Integrals

5.4.1 Areas Between Curves 5.4.2 Volumes of Revolution 5.4.3 Real-world Applications

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