Lesson Plan: Tree Diagrams Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to draw tree diagrams representing two or more successive experiments and use them to calculate probabilities.
Objectives
Students will be able to
- draw and interpret a tree diagram representing multiple successive experiments,
- fill the branches of a tree diagram with appropriate probability values, given sufficient information,
- construct probability trees for consecutive selections without replacements,
- use tree diagrams to compute probabilities by multiplying and adding probabilities on the branches.
Prerequisites
Students should already be familiar with
- probability,
- computing probability assuming equally likely outcomes,
- independent events,
- mutually exclusive events,
- addition and the general addition rule,
- the complement rule,
- the multiplication rule.
Exclusions
Students will not cover
- conditional probability,
- identifying the sample space,
- problems not involving a tree diagram,
- Bayes’ rule.
