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7-D-2-1

Page history last edited by Brenda Butz 6 years, 2 months ago

7.D.2.1 Determine the theoretical probability of an event using the ratio between the size of the event and the size of the sample space; represent probabilities as percents, fractions and decimals between 0 and 1.

In a Nutshell

Determine the size of a desired event and sample space and write it as a ratio. Represent this ratio in multiple ways to determine theoretical probability. Theoretical probability is the likeliness of an event happening based on all the possible outcomes. The ratio for the probability of an event “P” occurring is P(event) = number of favorable outcomes divided by the number of possible outcomes. The sample space is the set of all possible outcomes of an experiment.

Student Actions	Teacher Actions
Develop a deep and flexible procedural fluency of theoretical probability by representing the event as a fraction, decimal or percent. Develop the ability to make conjectures, model and generalize related to probabilities and predicting how often something is going to occur.	Implement tasks that promote reasoning and problem solving by allowing students to calculate theoretical probability and require students to determine the best way to represent the theoretical probability. Use and connect mathematical representations of outcomes to problem solve and make predictions.
Key Understandings	Misconceptions
Conceptualize the definition theoretical probability. Identify the similarities and the differences between events, outcomes and sample spaces. Explain how equivalent representations of fractions, decimals, and percents are useful in probability.	Students may define the event incorrectly. Students may struggle counting the entire sample space. Students may duplicate when counting the entire or parts of the sample space.