📐

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

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

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→

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→

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→

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→

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→

Stuck on AI SL?

Get 1-on-1 tutoring from IB Maths examiners who know exactly what Paper 1 & 2 are looking for.

Book Free Session →