--- title: "7.PR.6: Simple Event Probability Models (Georgia Mathematics standard)" code: 7.PR.6 cite_as: Georgia Standards of Excellence, Mathematics, 7.PR.6 subject: math grades: - grade-7 language: en canonical_url: https://georgiahomeroom.org/standards/code/7.PR.6 md_url: https://georgiahomeroom.org/standards/code/7.PR.6.md alternate_language_url: https://georgiahomeroom.org/es/standards/code/7.PR.6.md source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180 source_last_changed: 2024-10-09 data_built: 2026-09-18 publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district. up: https://georgiahomeroom.org/standards/math/grade-7.md index: https://georgiahomeroom.org/standards/index.md --- # 7.PR.6: Simple Event Probability Models Using mathematical reasoning, investigate chance processes and develop, evaluate, and use probability models to find probabilities of simple events presented in authentic situations. - Subject: Mathematics - Appears in: Grade 7, https://georgiahomeroom.org/standards/math/grade-7.md ## Expectations - **7.PR.6.1**: Represent the probability of a chance event as a number between 0 and 1 that expresses the likelihood of the event occurring. Describe that a probability near 0 indicates an unlikely event, a probability around $\frac{1}{2}$ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. - **7.PR.6.2**: Approximate the probability of a chance event by collecting data on an event and observing its long-run relative frequency will approach the theoretical probability. - **7.PR.6.3**: Develop a probability model and use it to find probabilities of simple events. Compare experimental and theoretical probabilities of events. If the probabilities are not close, explain possible sources of the discrepancy. - **7.PR.6.4**: Develop a uniform probability model by assigning equal probability to all outcomes and use the model to determine probabilities of events. - **7.PR.6.5**: Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. - **7.PR.6.6**: Use appropriate graphical displays and numerical summaries from data distributions with categorical or quantitative (numerical) variables as probability models to draw informal inferences about two samples or populations. ## Georgia Milestones coverage - Mathematics Grade 7 (EOG). Probability Reasoning. Using mathematical reasoning, investigate chance processes and develop, evaluate, and use probability models to find probabilities of simple events presented in authentic situations. (about 16% of the test; 9 points) ## What mastery looks like Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level. - **Beginning**: Recognize an event as likely, unlikely, or neither likely nor unlikely. - **Developing**: Determine the probability of an event based on the likelihood of the event. Determine the probability of a chance event by using the data collected from trials of the event. Use a uniform probability model to predict the outcome of an experiment. Use a probability model to predict an outcome. Compare data from two data displays and numerical summaries. - **Proficient**: Calculate the theoretical probability of a chance event. Compare the experimental and theoretical probabilities of events. Describe a uniform probability model that represents a realistic problem. Describe a probability model that represents a realistic problem. Use measures of central tendency and/or variability to compare data from two data displays. - **Distinguished**: Describe situations modeled by probabilities, including making predictions based on experimental and theoretical probabilities and developing probability models. Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.