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Revision Notes

IB Maths AI SL

Expert revision notes for IB Mathematics Applications & Interpretation Standard Level — every syllabus topic with worked examples and exam tips for Paper 1 and Paper 2.

AI SL · Revision Notes

Table of Contents

Click any topic to expand and view all the notes inside.

1

Number & Algebra

3 Topics · 16 Revision Notes

3 Topics▾

Number Toolkit

8▾
Standard Form→ Laws of Indices→ Introduction to Logarithms→ Approximation→ Upper & Lower Bounds→ Percentage Error→ Accuracy & Estimation→ Solving Equations using a GDC→

Sequences & Series

5▾
Language of Sequences & Series→ Sigma Notation→ Arithmetic Sequences & Series→ Geometric Sequences & Series→ Applications of Sequences & Series→

Financial Applications

3▾
Compound Interest & Depreciation→ Amortisation→ Annuities→
2

Functions

3 Topics · 17 Revision Notes

3 Topics▾

Linear Functions & Graphs

2▾
Equations of a Straight Line→ Parallel & Perpendicular Lines→

Further Functions & Graphs

8▾
Functions & Mappings→ Inverse Functions→ Graphing Functions & Their Key Features→ Intersecting Graphs→ Quadratic Functions & Graphs→ Cubic Functions & Graphs→ Exponential Functions & Graphs→ Sinusoidal Functions & Graphs→

Modelling with Functions

7▾
Linear & Piecewise Models→ Quadratic Models→ Cubic Models→ Exponential Models→ Direct & Inverse Variation→ Sinusoidal Models→ Strategy for Modelling Functions→
3

Geometry & Trigonometry

4 Topics · 12 Revision Notes

4 Topics▾

Geometry Toolkit

3▾
Coordinate Geometry→ Perpendicular Bisectors→ Arcs & Sectors→

Geometry of 3D Shapes

2▾
3D Coordinate Geometry→ Volume & Surface Area→

Trigonometry

4▾
Pythagoras & Right-Angled Trigonometry→ Sine Rule, Cosine Rule & Area of a Triangle→ Angles of Elevation & Depression→ Bearings & Constructions→

Voronoi Diagrams

3▾
Drawing Voronoi Diagrams→ Interpreting Voronoi Diagrams→ Toxic Waste Dump Problem→
4

Statistics & Probability

7 Topics · 30 Revision Notes

7 Topics▾

Statistics Toolkit

10▾
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→

Correlation & Regression

5▾
Scatter Diagrams & Correlation→ Pearson’s Product-Moment Correlation Coefficient→ Spearman’s Rank Correlation Coefficient→ Comparison of Correlation Coefficients→ Linear Regression→

Probability

5▾
Probability & Types of Events→ Independent & Mutually Exclusive Events→ Conditional Probability→ Venn Diagrams→ Tree Diagrams→

Probability Distributions

2▾
Discrete Probability Distributions→ Expected Values→

Binomial Distribution

2▾
The Binomial Distribution→ Calculating Binomial Probabilities→

Normal Distribution

2▾
The Normal Distribution→ Calculations with Normal Distribution→

Hypothesis Testing

4▾
Introduction to Hypothesis Testing→ Chi-squared Test for Independence→ Goodness of Fit Test→ The t-test→
5

Calculus

2 Topics · 11 Revision Notes

2 Topics▾

Differentiation

6▾
Introduction to Derivatives→ Differentiating Powers of x→ Gradients, Tangents & Normals→ Increasing & Decreasing Functions→ Local Minimum & Maximum Points→ Modelling with Differentiation→

Integration

5▾
Numerical Integration using the Trapezoidal Rule→ Introduction to Integration→ Integrating Powers of x→ Finding the Constant of Integration→ Finding Areas Using a GDC→

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