Lesson:
Engage (10 minutes):
- Start by asking the students: “Have you ever tried to predict the outcome of something uncertain? How did you make that prediction?”
- Engage in a brief class discussion about predicting uncertain outcomes and introduce the concept of thinking probabilistically.
- On the whiteboard, write down the definition of probability: “Probability is the measure of the likelihood of an event occurring.”
- Explain that thinking probabilistically involves using probabilities to make predictions, decisions, and judgments, especially when dealing with uncertain situations.
Apply (35 minutes):
Direct Instruction (10 Minutes)
Thinking Probabilistically Slides
Activity 1 (25 minutes)
- Distribute index cards or small pieces of paper to each student.
- Provide a set of probability impact scenarios to the class (prepared in advance). Each scenario should describe a decision-making situation where probabilities play a role.
- Instruct students to read the scenarios and consider how thinking probabilistically might impact the decisions made in those situations.
Discussion
- Divide the class into small groups.
- Assign each group a scenario to discuss. They should explore how probabilities affect the decision-making process, potential risks, and the rationale behind their decisions.
- Encourage groups to think about how different probabilities can lead to varying choices.
- Have each group share their scenario and insights with the class.
- Facilitate a class discussion about the various ways thinking probabilistically impacts decision-making and how it helps individuals navigate uncertainty.
Reflect (5 minutes):
Journal Entry
- Instruct students to take a few moments to individually reflect on a situation from their lives where thinking probabilistically would have been beneficial.
- They can consider instances where they made predictions, assessed risks, or evaluated potential outcomes.
