7.6.I
The Standard
determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students organize all possible outcomes for one-step and multi-step chance situations. They find expected chances from those outcomes and observed chances from collected data.
What Mastery Looks Like
- Students create an organized list, table, or tree diagram with all possible outcomes. They calculate expected chances and use trial data to find observed chances, then compare the two.
Common Misconceptions
- Students may add probabilities when they should multiply, or leave outcomes out of a sample space. They may also confuse observed results with the expected chance.
How to Assess It
- Give an exit ticket: “A coin is flipped and a number cube is rolled. Find the chance of tails and an even number, then compare it with results from 30 trials.”
Lesson moves
Ways to Teach It
Pairs flip two coins 40 times, record each outcome, and compare observed frequencies with the four equally likely outcomes.
Ask students to explain why 20 coin flips may not produce exactly 10 heads, using expected and observed probability.
Play a sample-space matching game where students pair event cards with organized lists, tree diagrams, and correct probabilities.
Use a weather forecast showing a 40 percent chance of rain, then discuss how repeated forecasts could be checked against actual results.
Keep exploring
Related Standards
- 7.6.D
make predictions and determine solutions using theoretical probability for simple and compound events
- 7.6.C
make predictions and determine solutions using experimental data for simple and compound events
- 7.6.A
represent sample spaces for simple and compound events using lists and tree diagrams
- 7.6.E
find the probabilities of a simple event and its complement and describe the relationship between the two
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