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AIHL: graph theory

Math AI6 hours150 JDFace to face and Online

This topic explores key graph theory algorithms used to solve routing and network problems. Students learn about walks, trails, paths, circuits and cycles in undirected…

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Complete Topic 4 Revision SL material

Math AI12 hours250 JDFace to face and Online

End-to-end review of descriptive statistics (population/sample, reliability, outliers, sampling methods), presentation of data (tables, histograms, cumulative frequency, box & whisker), central tendency & dispersion (mean,…

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Statistics: Descriptive, Bivariate & Hypothesis Tests SL material only

Math AI6 hours140 JDFace to face and Online

From data collection & sampling to visualization (histograms, CF graphs, boxplots), through measures (mean, median, mode, IQR, SD, variance) and effects of constant changes. Develop…

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Probability SL material

Math AI6 hours150 JDFace to face and Online

trial/outcome, sample spaces, relative frequency; Venn & tree diagrams; combined events (A∪B, A∩B), mutual exclusivity, conditional probability P(A|B) and independence P(A∩B)=P(A)P(B). Includes simulations and contextual…

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Hypothesis Testing SL material

Math AI3 hours75 JDFace to face and Online

Build confidence with H₀/H₁, significance levels, expected vs observed, χ² test for goodness-of-fit and independence (contingency tables, df, critical values). Interpret p-values, compare to α,…

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Probability Distributions SL material

Math AI3 hours75 JDFace to face and Online

Discrete random variables & expected value, binomial distribution (model contexts, mean/variance by technology), and the normal distribution (properties, probabilities, inverse normal). Practice calculator workflows and…

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Higher Level Extension — Statistics & Probability

Math AI14 hours350 JDFace to face and Online

Advanced HL concepts in probability theory, distributions, and inference. Includes conditional distributions, continuous random variables, expected values, covariance, and extended hypothesis testing with interpretation of…

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Full Topic 5 Review — Calculus SL materia

Math AI10 hours225 JDFace to face and Online

A complete overview of differential and integral calculus, covering limits, derivatives, anti-derivatives, optimization, and area under curves. Perfect for students preparing for final exams or…

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Differential Calculus SL material

Math AI6 hours150 JDFace to face and Online

Focus on differentiation and its applications — rate of change, gradients, tangents, normals, increasing and decreasing functions, and real-world optimization contexts. Includes graphing tools and…

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