Wyoming Math 7.SP.6
The Standard
Collect multiple samples to compare the relationship between theoretical and experimental probabilities for simple events.
2023 Wyoming Mathematics Content and Performance Standards · Investigate chance processes and develop, use, and evaluate probability models.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the predicted chance of a simple event, such as rolling a six on a fair die. They run several separate sets of trials, find the fraction of sixes in each set, and compare those fractions with 1/6.
What Mastery Looks Like
- A student can calculate the fraction of sixes in each of three sets of rolls. They can identify which results are closest to 1/6 and explain why the sets do not have to match.
Common Misconceptions
- Some students expect exactly one six in every six rolls. Others divide by six instead of the number of rolls, or think a round with few sixes changes the chance of rolling one.
How to Assess It
- Exit ticket: A fair die shows six 3, 5, and 1 times in three separate sets of 18 rolls. Find the fraction for each set and circle the one closest to 1/6.
Lesson moves
Ways to Teach It
Give pairs a fair die and a tally sheet; have them roll three separate sets of 24, recording sixes and comparing each fraction with 1/6.
Write: Two groups each roll a die 24 times and get two and seven sixes. Does either result prove the die is unfair? Why?
Deal cards showing 12-roll samples with one, two, or four sixes; pairs race to order the results by closeness to 1/6.
Show a prize wheel with four equal sections, one labeled prize; compare rates from three 20-spin rounds with 3, 6, and 4 wins to 1/4.
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Printable 7.SP.6 Worksheet
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