This is the teacher notes page identifying the outcomes addressed in these lessons. Copy each lesson link and send it to your students. For printable versions of these materials log into the teacher information section of the Department of Education.
Students will:
learn to represent the sample space of multi-stage events
learn how to calculate the probability of multi-stage events
learn how to calculate conditional probability by eliminating outcomes based on what they already know.
Outcomes:
MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts
MA5.1-2WM selects and uses appropriate strategies to solve problems
MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context
MA5.1-13SP calculates relative frequencies to estimate probabilities of simple and compound events
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems
MA5.2-3WM constructs arguments to prove and justify results
MA5.2-17SP describes and calculates probabilities in multi-step chance experiments
Students will:
draw tables to represent the sample space of two events
draw tree diagrams to represent the sample space of multi-stage events
investigate familiar games such as rock, paper, scissors to determine if they are fair games.
Outcomes:
MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts
MA5.1-2WM selects and uses appropriate strategies to solve problems
MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context
MA5.1-13SP calculates relative frequencies to estimate probabilities of simple and compound events
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems
MA5.2-3WM constructs arguments to prove and justify results
MA5.2-17SP describes and calculates probabilities in multi-step chance experiments
Students will:
learn to identify events as independent or dependent
use probability tree diagrams to calculate the probability of multi-stage events
determine the probability of winning in different games and sports.
Outcomes:
MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts
MA5.1-2WM selects and uses appropriate strategies to solve problems
MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context
MA5.1-13SP calculates relative frequencies to estimate probabilities of simple and compound events
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems
MA5.2-3WM constructs arguments to prove and justify results
MA5.2-17SP describes and calculates probabilities in multi-step chance experiments
Students will:
explore how knowing information about the outcome, has an effect on the probability of an event
use tree diagrams to calculate conditional probability.
Outcomes:
MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts
MA5.1-2WM selects and uses appropriate strategies to solve problems
MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context
MA5.1-13SP calculates relative frequencies to estimate probabilities of simple and compound events
MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions
MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems
MA5.2-3WM constructs arguments to prove and justify results
MA5.2-17SP describes and calculates probabilities in multi-step chance experiments