MYP 3Year 9Term 3

Number, Games and Language of Mathematics

Probability

Statement of inquiry

Games can provide a framework for understanding probability and related mathematics.

Assessed against

The MYP criteria this unit is marked against.

What this unit covers

The sub-topics taught, in the order the department teaches them.

11 objectives

What students should be able to do by the end of this unit.

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Understand the definition of a set including finite, infinite and universal sets, and use interval notation.
Perform set operations: complement, union, intersection and subset.
Identify and represent the special number sets (N, Z, Q, Q', R) using Venn diagrams.
Use 2-set Venn diagrams to represent relationships and solve count problems.
Use 3-set Venn diagrams and the inclusion-exclusion principle.

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Define experimental and theoretical probability and represent it as a fraction, decimal or percentage.
Determine sample spaces using lists, tables, 2D grids and tree diagrams.
Calculate probabilities for compound events including "and" and "or".
Calculate probabilities for events without replacement (using tree diagrams).
Calculate expected values for multi-event experiments.
Determine whether games are fair using expected value.

Review pack

Curated revision materials parents and students can download.

A review pack for this unit is being prepared.

Focus ATLs: Communication – I. Communication skills
Self-management – III. Organization skills
Research – VI. Information literacy skills
Key concepts: Communication is the exchange or transfer of signals, facts, ideas and symbols. It requires a sender, a message and an intended receiver.
Logic is a method of reasoning and a system of principles used to build arguments and reach conclusions.
Global context: Fairness and development