Montana Math MT.CORE.DATA.PROB.1
The Standard
Understand the concept of a sample space and describe events as subsets of a sample space.
2026 Montana Mathematics Content Standards · Data Reasoning and Probability
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students list every possible outcome of a chance process. They describe an event by naming the outcomes that meet a given condition.
What Mastery Looks Like
- With two labeled coins, a student lists HH, HT, TH, and TT without repeats. They write the event 'exactly one head' as {HT, TH}.
Common Misconceptions
- Students may list only H and T for two coin flips. They may treat HT and TH as the same outcome, or name an event without listing its outcomes.
How to Assess It
- Exit ticket: Two labeled coins, A and B, are flipped. List every outcome in A, B order, then write the event 'exactly one head' as a set of outcomes.
Lesson moves
Ways to Teach It
Flip two labeled coins and record each result in A, B order, then circle the results with exactly one head.
Ask: Are HT and TH the same outcome when coins A and B are labeled? Explain with a sketch.
Give pairs cards marked HH, HT, TH, and TT; call out 'at least one head' and have them show every matching card.
For a two-day weather forecast, list the wet or dry sequences and mark those with exactly one wet day.
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Printable MT.CORE.DATA.PROB.1 Worksheet
A ready-to-print activity worksheet aligned to MT.CORE.DATA.PROB.1, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- MT.7.SP.8
Represent sample spaces for compound events, identify the desired outcomes in the sample spaces, and find probabilities of events using organized lists, tables,...
- MT.7.SP.1
Understand statistics can be used to gain information about a population by examining a representative sample of the population.
- MT.PLUS.DATA.DES.1
Describe the purposes of and differences among sample surveys, experiments, and observational studies and explain how randomization relates to each.
- MT.7.SP.5
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
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