Unraveling Probability: Exploring Probability Trees with Algebra

Unraveling Probability: Exploring Probability Trees with Algebra

Learning Objective

Understand how to draw probability trees using algebra and calculate unknown probabilities.

What do you already know about basic probability?

Understanding Probability Trees

Probability trees are diagrams used to represent outcomes and calculate probabilities of events.

Basic Probability Tree Diagram

Introduce a simple probability tree diagram with known probabilities and outcomes.

Adding Algebra to Probability Trees

Incorporate algebraic expressions to represent unknown probabilities in the probability tree diagram.

Solving for Unknown Probabilities

Demonstrate how to use algebra to calculate unknown probabilities in the probability tree diagram.

Practice Problems

Engage students in solving practice problems using probability trees and algebraic expressions.

Drawing Your Own Probability Tree

Guide students through the process of drawing their own probability tree diagram with algebraic expressions.

Summarizing Key Concepts

Summarize the key concepts of using probability trees with algebra to calculate unknown probabilities.

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.