pptx, 36.24 MB
pptx, 36.24 MB

IB Math AI HL 4.19 – Transition Matrices

This slide deck explores the concept of transition matrices and their role in modelling systems that move through a sequence of states over time. Students learn how to construct a transition matrix from observed or given probabilities, use it to predict changes across one or more transitions, and determine the long-term (steady-state) behaviour of a system through matrix powers or eigenvector methods.

The presentation covers key ideas such as constructing state vector representations, interpreting each row and column of the matrix, and deriving the equilibrium vector that shows where the system settles. Real-world contexts, such as predicting outcomes in leagues, modelling Markov chains for weather or consumer behaviour, and drawing long-term predictions, help make the abstract theory tangible. By the end of the deck, students can apply transition matrices to examine how a system evolves over time, calculate matrices of higher power to find future state distributions, and interpret the long-term steady-state vector in a meaningful context.

Fully aligned with IB Math AI HL Topic 4.19, this resource develops students’ analytical, algebraic, and interpretative skills in stochastic modelling and real-world decision-making.

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IB Math AI Unit 4 - Statistics Slidedeck Bundle

**IB Math AI & HL Unit 4 – Statistics Bundle** **Topics:** Covers all Topic 4 sub-topics from SL and HL, ranging from data presentation and measures of spread, through correlation, regression, discrete and continuous distributions, to hypothesis testing and parametric models. **Level:** IB Mathematics: Applications & Interpretation (SL) and Higher Level (HL) **File Type:** Complete editable slide deck bundle **Bundle Price:** £40 (save 30 % compared to individual purchase) --- ### **Overview** This comprehensive bundle brings together all the slide decks your students need to master the entire **Statistics & Probability Unit (Topic 4)** of the IB Mathematics AI/HL curriculum. From collecting and describing data, to modelling with binomial, normal and Poisson distributions, and completing full hypothesis tests, each lesson is structured to build conceptual understanding and procedural fluency. The decks seamlessly integrate technology use, exam-style reasoning and real-world applications to prepare learners for both SL and HL assessments. --- ### **Learning Outcomes** By the end of the bundle, students will be able to: * Present data using frequency tables, histograms, box-and-whisker plots and cumulative graphs. * Compute and interpret measures of central tendency and spread (mean, median, mode, IQR, standard deviation). * Construct scatter plots, calculate correlation coefficients (Pearson and Spearman) and regression lines, and interpret them in context. * Use discrete models (binomial, Poisson), continuous models (normal), perform standardisation and inverse calculations, and understand expected value and variance. * Understand hypothesis testing frameworks: setting null/alternative hypotheses, using critical regions or p-values, and interpreting Type I and Type II errors. * Design valid data collection methods, choose appropriate categorisations for χ²-tests, and apply technology to compute test statistics. --- ### **What’s Included** * Fully editable PowerPoint slide decks for every subsection of Unit 4 in the IB Math AI syllabus * Complete walkthroughs for each sub-topic with definitions, animations, worked examples and technology integration. * Real-world case studies and context-rich problems that match IB assessment style. * Instruction on using calculators/software for distributions, inverse calculations and hypothesis tests. * Ti-nspire calculator demos! * Flexible teaching tools suited for SL, HL and mixed-level classes. --- ### **Why You’ll Love It** * Full coverage of **Topic 4: Statistics & Probability**, which carries approximately 36 teaching hours at SL and 52 hours at HL. ([Richmond County Schools][2]) * Seamless progression from basic data handling to advanced inferential statistics. * Reduction in planning time: everything ready-to-go and fully editable. * Strong alignment with the IB syllabus framework, making classroom delivery and revision structured and coherent. * Excellent value—30 % reduction on individual slide deck pricing, delivering substantial savings for full-unit coverage. --- ### **Tags** IB Math AI SL, IB Math AI HL, Unit 4, Statistics, Probability, Descriptive Statistics, Correlation, Regression, Binomial Distribution, Normal Distribution, Hypothesis Testing, Editable Slides, Classroom Resources, IB Curriculum.

£40.00

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