The Ministry is migrating nzmaths content to Tāhurangi.
Relevant and up-to-date teaching resources are being moved to Tāhūrangi (tahurangi.education.govt.nz).
When all identified resources have been successfully moved, this website will close. We expect this to be in June 2024.
e-ako maths, e-ako Pāngarau, and e-ako PLD 360 will continue to be available.
For more information visit https://tahurangi.education.govt.nz/updates-to-nzmaths
Students at Level Five understand that elements of chance have an effect on the certainty of results from surveys or experiments. Through examples from real life they should understand that statistics usually involves situations where the actual probabilities are not known, for example, probability of catching a disease. They should recognise situations where deterministic theoretical models are not possible, for example chance of a bus being early, and distinguish them from situations where probabilities can be reasoned from all the possibilities.
This means that students will identify the theoretical probabilities for situations involving chance by using proportions of possible outcomes. For example, they will recognise that the probability of rolling an even number on a standard die is 1/2 because there are 6 possible outcomes and 3 of them are even, 3/6 = 1/2.
They will carry out experiments to test the probability of events and compare their results with theoretical probabilities. They will understand that some variation between experimental estimates of probability and theoretical probabilities is normal, for example, when rolling a die 10 times they will not usually roll an even number 5 of the times. They will understand that a larger sample is likely to provide a more accurate theoretical probability, proportionally speaking, than a small one.
