Study Guide — 7.SP.C.7
Develop a probability model and use it to find probabilities of events
Describe data distributions and use probability models to predict outcomes.
What this standard means
- Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.
- 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?
- Apply develop a probability model and use it to find probabilities of events with models and explanation
- Summarizes data with center and spread measures
_See printable PDF for diagram._
How to use the 20 practice sets
| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |
Pacing: 10–15 minutes per session.
How to practice
1. Calculate mean, median, and range from data sets 2. Use dot plots and box plots to compare groups 3. List sample space before finding probability
_See printable PDF for diagram._
Common mistakes
- Confusing mean and median
- Probability greater than 1 or less than 0
- Ignoring all outcomes in the sample space
Review and practice tests
1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 7.SP.C.7.
- [ ] Summarizes data with center and spread measures
- [ ] Creates and interprets statistical displays
- [ ] Computes simple and compound probabilities
Materials for this standard
- Practice Problems — 20 printable sets (computational and word problems)
- Word Problems — 20 word-only sets plus 10 difficulty-tier sets
- Review — 10 difficulty levels
- Practice Test — 10 difficulty levels
- Answer key — for parents and tutors