11-16 teaching and learning resources - Probability

Please note: many of these resources were developed by the Further Mathematics Support Programme or the Further Maths Network and may contain links to websites and resources which are no longer available.

1. Record, describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees.

Resources for this section are currently in development.

2. Apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments.

Tornado Alley

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Epidemic Group Work

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3. Relate relative expected frequencies to theoretical probability, using appropriate language and the \(0-1\) probability scale.

Resources for this section are currently in development.

4. Apply the property that the probabilities of an exhaustive set of outcomes sum to one; apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one.

Lottery

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5. Understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size.

Resources for this section are currently in development.

6. Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams.

Tree Diagrams Extension Task

Business Card 5

Maths Feast Set Theory Task 2015

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7. Construct theoretical possibility spaces for single and combined experiments with equally likely outcomes and use these to calculate theoretical probabilities.

Goal

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8. Calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions.

Not my cup of tea

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Geometric Distribution Extension Task

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Tree Diagrams Extension Task

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9. Calculate and interpret conditional probabilities through representations using expected frequencies with two-way tables, tree diagrams and venn diagrams.

Vexing Venn Diagrams

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Number

Algebra

Ratio, proportion and rates of change

Geometry and measures

Statistics