AI SL

Applications & Interpretation · SL

Learn the maths, use the technology and explain what the answer means.

A calm, practical course for AI SL students who want a reliable route through the syllabus and clearer exam technique.

What you’ll learn

Understand the method and know when to use it.

The goal is not simply to watch more videos. It is to make unfamiliar IB questions feel more manageable because the underlying mathematics is clear.

  • 01Use technology confidently and efficiently
  • 02Interpret statistics and models in context
  • 03Avoid common command-term mistakes
  • 04Build a repeatable exam approach

Full curriculum

See exactly what is covered.

The curriculum is structured directly from the complete course syllabus. Open any topic to see its lesson sequence.

01Number and algebra17 lessons
  1. 1.1Scientific notation
  2. 1.2.1Arithmetic sequences and series
  3. 1.2.2Sigma notation
  4. 1.3Geometric sequences and series
  5. 1.4.1Compound interest
  6. 1.4.2Depreciation
  7. 1.4.3Inflation
  8. 1.5.1Laws of exponents
  9. 1.5.2Introduction to logs
  10. 1.5.3The number e
  11. 1.6.1Rounding
  12. 1.6.2Upper and lower bounds
  13. 1.6.3Percentage error
  14. 1.7.1Loans
  15. 1.7.2Annuities
  16. 1.8.1System of linear equations
  17. 1.8.2Polynomial equations
02Functions18 lessons
  1. 2.1.1Gradient of a line
  2. 2.1.2Equation of a straight line
  3. 2.1.3Parallel and perpendicular lines
  4. 2.2.1Functions introduction
  5. 2.2.2Evaluating functions
  6. 2.2.3Inverse functions
  7. 2.3Sketching functions
  8. 2.4.1Features of graphs
  9. 2.4.2Asymptotes
  10. 2.5.1Linear modelling
  11. 2.5.2Quadratic functions
  12. 2.5.3Quadratic modelling
  13. 2.5.4Exponential modelling
  14. 2.5.5Direct and inverse variation
  15. 2.5.6Cubic modelling
  16. 2.5.7Sinusoidal graphs
  17. 2.5.8Creating a sinusoidal model
  18. 2.6Finding parameters of a model
03Geometry and trigonometry15 lessons
  1. 3.1.1Midpoint of a line segment
  2. 3.1.2Distance between 2 points
  3. 3.1.3Volume and surface area
  4. 3.1.4Trigonometry in 3d
  5. 3.2.1Pythagoras’ theorem
  6. 3.2.2Soh cah toa
  7. 3.2.3Sine rule
  8. 3.2.4Cosine rule
  9. 3.2.5Area of a triangle
  10. 3.3.1Bearings
  11. 3.3.2Angles of elevation and depression
  12. 3.4Arcs and sectors
  13. 3.5Perpendicular bisectors
  14. 3.6.1Voronoi diagram intro
  15. 3.6.2Voronoi examples
04Statistics and probability22 lessons
  1. 4.1.1. Discrete v continuous data
  2. 4.1.2Sampling techniques
  3. 4.2.1. Histograms and cumulative frequency curves
  4. 4.2.2box and whisker diagrams
  5. 4.2.3interpreting box plots
  6. 4.2.4Outliers
  7. 4.3.1Averages and spread
  8. 4.3.2Frequency tables
  9. 4.3.3Constant changes in data
  10. 4.3.4Variance and standard deviation by hand
  11. 4.4Linear regression and correlation
  12. 4.5Probability formulae
  13. 4.6.1Venn diagrams
  14. 4.6.2Tree diagrams
  15. 4.7Discrete random variables
  16. 4.8Binomial distribution
  17. 4.9Normal distribution
  18. 4.10Spearman’s rank correlation coefficient
  19. 4.11.1Chi squared intro
  20. 4.11.2Chi squared test for independence
  21. 4.11.3Chi squared goodness of fit
  22. 4.11.4T-test
05Calculus12 lessons
  1. 5.1.1Introduction to differentiation
  2. 5.1.2Introduction to limits
  3. 5.2Increasing and decreasing functions
  4. 5.3.1Differentiation power rule
  5. 5.3.2Derivative at a point
  6. 5.4Tangents and normals
  7. 5.5.1Integration (power rule)
  8. 5.5.2Finding
  9. 5.5.3Area under the curve
  10. 5.6Stationary (max/min) points
  11. 5.7Optimization
  12. 5.8Trapezoidal rule

Also included

Support beyond the topic lessons.

IA

Internal Assessment guidance

Clear guidance for understanding the IA process, developing an idea and improving the finished exploration.

PP

Past-paper solutions

Worked solutions that show how to approach IB Mathematics questions and communicate the method clearly.