Approximate Probability Math Games

3 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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Image for Probably Fun: Approximate Probability
Probably Fun: Approximate Probability Estimated Duration: 11 minutes These dice are RIGGED! Play with cheating dice, but first you have to find out... how will they roll?
Image for Santa's Random Gifts
Santa's Random Gifts Estimated Duration: 16 minutes A little girl comes to help Santa Claus deliver gifts for her family! Students will learn there are empirical and theoretical probabilities, develop a theoretical probability model, and discover how to calculate the approximate frequency of events.
Image for Theoretical And Empirical Probability
Theoretical And Empirical Probability Estimated Duration: 5 minutes In this lesson, students will learn the difference between theoretical and empirical probability. They will understand that theoretical probability is based on the structure of an event and helps predict likely outcomes, while empirical probability is derived from actual experiments or observations. Students will practice calculating these probabilities and making predictions based on both concepts.
Image for Basketball Master
Basketball Master Estimated Duration: 12 minutes Shoot a basketball through the hoop and answer some questions along the way! The game does not have any instructional content, it simply has review questions spread throughout.
Image for Galaxy Escape
Galaxy Escape Estimated Duration: 20 minutes 10 Bright Monsters have been captured in space and they need your help to cross the galaxy jumping between platforms, finding them, and releasing them by correctly answering each question. Each monster that you release and unlock will be available to play with in the next level, in the search for the next monster. In your journey, you’ll be able to find power-ups, like ‘Double points’ and ‘Slow down’, which can be activated by finding gems, and their duration can be extended by correctly answering a question. Unlock and release the 10 different monsters and a spaceship along 10 different levels, while you make the most possible points.
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