IB Math AI SL study plan

Compute and interpret mean, median, mode, range, quartiles and interquartile range for raw and grouped data sets

Construct and read box-and-whisker diagrams and cumulative frequency curves to estimate percentiles

Classify data types (discrete/continuous, qualitative/quantitative) and choose an appropriate display for each

Calculate and interpret standard deviation using the GDC, including the effect of outliers on spread

Set up and evaluate probabilities using sample space diagrams, tree diagrams and Venn diagrams

Apply the addition and multiplication rules, including mutually exclusive and independent events

Solve conditional probability problems with and without replacement, including two-step tree diagrams

Distinguish independent from mutually exclusive events and justify each classification in writing

Model real contexts with binomial and normal distributions, stating parameters and justifying the choice of model

Compute binomial probabilities and cumulative probabilities using the GDC, and find inverse normal values from a given area

Normalise a normal variable into a z-score and solve 'find x given the probability' problems

Convert between standard form and ordinary form and apply laws of exponents and logarithms numerically

Differentiate polynomial, exponential, logarithmic and trigonometric functions from first principles and by rule

Interpret the derivative as a gradient and as a rate of change in context, including units

Find equations of tangents and normals at a given point

Use differentiation to locate stationary points and classify them as maxima or minima

Integrate polynomial, exponential and simple trigonometric expressions, including expressions requiring simplification first

Evaluate definite integrals and interpret them as areas under curves

Compute the area between a curve and the x-axis, and between two curves, splitting regions where necessary

Apply optimisation to a real-world scenario by constructing a function, differentiating and testing endpoints

Apply the sine rule, cosine rule and area formula to non-right triangles, deciding which rule fits each problem

Solve 3D trigonometry problems by identifying the correct right-angled triangle inside a solid

Convert between degrees and radians, and compute arc length and sector area

Use the distance and midpoint formulas and solve vector problems in two and three dimensions, including magnitude and scalar multiplication

Sketch and identify linear, quadratic, exponential, logarithmic and sinusoidal functions, stating domain, range, intercepts and asymptotes

Find inverse functions algebraically and by reflection, and determine composite functions and their domains

Solve quadratic and exponential equations graphically and algebraically, including using the GDC for intersections

Model a real situation with a function and evaluate the model's fit using given data

Complete two full-length timed papers under exam conditions and mark them strictly against the markscheme

Identify the three highest-frequency error types across both papers and write a targeted correction for each

Rehearse GDC efficiency on statistics, distributions, graphing and equation solving so no time is lost to button errors

Practise written justification questions, ensuring method marks are earned on 'show that' and 'explain' prompts