Approximate Probability Math Games

In this series of games, your students will learn to approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency. The Approximate Probability learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 7.SP.C.6 as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

Concepts Covered

If the number of outcomes is unknown, then the approximate frequency can be found by making a series of random selections and recording the relative frequencies. A probability model provides a probability for each possible nonoverlapping outcome. The collection of all possible individual outcomes is known as the sample space for the model.

Probabilities can be theoretical (based on the structure of the process and its outcomes) or empirical (based on observed data generated by the process). Theoretical probability is the expected likelihood of an outcome. Develop a theoretical probability model that provides equally likely outcomes for success.

If the outcomes are unknown for a probability model, you can approximate it by making a series of random selections and recording the relative frequencies in a table or tree diagram. Statistics involves the analysis of past events while probability predicts the likelihood of future events. Determine the probability of an event based on the relative frequency. Make a prediction with probability.

A preview of each game in the learning objective is found below.

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Tags: probability, likelihood, outcome, data, frequency, statistics, sample space, theoretical probability, empirical probability

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