Wyoming Math 7.SP.1d
The Standard
Solve real-world and mathematical problems involving: Understand that random sampling is used to gather a representative sample and tends to support valid inferences about the population.
2023 Wyoming Mathematics Content and Performance Standards · Use random sampling to draw inferences about a population.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students choose people at random from a whole group and use their answers to make an estimate about that group. They explain why a random sample is more useful than asking only people who are easy to reach.
What Mastery Looks Like
- A student can name the group being studied, draw a random sample, and use its results to make an estimate. They can explain why the estimate may differ from the true number.
Common Misconceptions
- Students may call a sample random when it includes only friends or volunteers. They may also think a random sample must match the whole group exactly.
How to Assess It
- A school randomly selects 20 names from its roster, and 6 of those students walk to school. Ask students to estimate how many of the school's 700 students walk, then explain why asking 20 students at a bus stop would be less reliable.
Lesson moves
Ways to Teach It
Have each student write hot lunch or packed lunch on a card, shuffle the cards, draw eight, and compare the sample estimate with the class count.
Ask, 'Would asking only basketball players estimate the whole grade's favorite sport? Why or why not?'
Play sample-or-bias: students sort method cards, such as 'draw names from a hat' and 'ask first ten arrivals,' then explain their choices.
Look at a restaurant's online reviews, then choose random receipt numbers to survey customers and compare which method better represents all diners.
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Printable 7.SP.1d Worksheet
A ready-to-print activity worksheet aligned to 7.SP.1d, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 7.SP.1c
Understand that generalizations from a sample are valid only if the sample is representative of the population.
- 7.SP.1b
Differentiate between random and non-random sampling.
- 7.SP.4
Given measures of center and variability (mean, median and/or mode; range, interquartile range, and/or standard deviation), for numerical data from random sampl...
- 7.SP.1a
Understand that a sample is a subset of a population.
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