AC9M9P01 Year 9 Mathematics

This Content Descriptor from Year 9 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.

list all outcomes for compound events both with and without replacement, using lists, tree diagrams, tables or arrays; assign probabilities to outcomes

Elaborations

• 1 discussing two-step chance experiments, such as the game of Heads and Tails, describing the different outcomes and their related probabilities
• 2 using systematic methods such as lists or arrays to record outcomes and assign probabilities, such as drawing the names of students from a bag to appoint \(2\) team leaders
• 3 using a tree diagram to represent a three-stage event and assigning probabilities to these events; for example, selecting \(3\) cards from a deck, assigning the probability of drawing an ace, then a king, then a queen of the same suit, with and without replacing the cards after every draw
• 4 assigning probabilities to compound events involving the random selection of people from a given population; for example, selecting \(2\) names at random from all of the students at a high school and assigning the probability that they are both in Year 9

Related Achievement Standards