AC9M8P02 Year 8 Mathematics

This Content Descriptor from Year 8 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

determine all possible combinations for 2 events, using two-way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific outcomes in practical situations

Elaborations

• 1 describing events using language of “at least”, exclusive “or” (\(A\) or \(B\) but not both), inclusive “or” (\(A\) or \(B\) or both) and “and”
• 2 using the relation \(Pr(A\;and\;B)+Pr(A\;and\;not\;B)+Pr(not\;A\;and\;B)+Pr(not\;A\;and\;not\;B)=\;1\) to calculate probabilities, including the special case of mutually exclusive events where \(Pr(A\;and\;B)\;=\;0\)
• 3 using Venn diagrams or two-way tables to demonstrate the difference between events that are mutually exclusive, such as whether a coin toss will land on a head or a tail, or those that are not mutually exclusive, such as people who have blonde hair and people who have blue eyes
• 4 exploring First Nations Australian children’s instructive games; for example, Battendi from the Ngarrindjeri Peoples of Lake Murray and Lake Albert in southern Australia, applying possible combinations and relationships and calculating probabilities using two-way tables and Venn diagrams

Related Achievement Standards