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# CCSS.Math.Content.7.SP.C.7 - Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.

### CCSS.Math.Content.7.SP.C.7.b - Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end down. Do the outcomes for the spinning penny appear to be equally likely based on the observed frequencies?

Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers

Title: CCSS.Math.Content.7.SP.C.7 Develop A Probability Model And Use It To Find... Statistics and Probability - 7th Grade Mathematics Common Core State Standards

Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C.

(Page last edited 10/08/2017)

1. Adjustable Spinner - Students can create a game spinner with variable sized sectors to look at experimental and theoretical probabilities.
2. Adjustable Spinner - Change the number of sectors and increase or decrease their size to create any type of spinner. Then, conduct a probability experiment by spinning the spinner many times. How does the experimental probability compare with the theoretical probability
3. Analyzing game probabilities - Multiple-choice quiz [5 problems]
4. Coin Flipping page - Flip up to 100 coins and see the total number of heads and tails. Excellent for teaching about probability.
5. Interactive Probability Tutorial - Sample Spaces and Events
6. Interactive Probability Tutorial - Estimated Probability
7. Interactive Probability Tutorial - Empirical Probability
8. Interactive Probability Tutorial - Abstract Probability
9. Interactive Probability Tutorial - Conditional Probability and Independence
10. Lions and Tigers - Predict the likelihood of a simple event (rolling a die) as a fraction
11. Marbles - Students learn about sampling with and without replacement by modeling drawing marbles from a bag. Parameters: Number and color of marbles in the bag, replacement rule.
12. Probability - Five question multiple-choice quiz from Glencoe Math
13. Probability Theory: The Layman's Guide to Probability - An in-depth but easily readable guide on probability theory, covering various aspects of the theory with a bias to gambling games and strategies. Includes working examples in an excel spreadsheet.
14. Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities.
15. Understanding Experimental Probability - Experiment with experimental probability using a fixed size section spinner, a variable section spinner, 2 regular 6-sided number cubes or design your own number cubes.
16. What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. This dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome.

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