CCSS.Math.Content.HSS-IC.A.1
The standard
Understand statistics as a process for making inferences about population parameters based on a random sample from that population.
Common Core State Standards for Mathematics
What this standard means
Students need to see statistics as a way to learn about a whole group when measuring everyone is not realistic. They should connect a random sample to a larger population, then use sample results to make a reasonable claim about an unknown population value, such as a mean or proportion.
Mastery looks like students naming the population, the sample, the statistic, and the parameter in context. They can explain why random sampling matters. Common sticking points are treating any sample as random, mixing up statistic and parameter, and making claims that go beyond the population sampled.
Ways to teach it
- Have students draw random handfuls of colored cubes from a bag, record sample proportions, and predict the full bag’s color mix.
- Ask students to write whether a survey of cafeteria users can estimate opinions of all students, and explain the sampling problem.
- Give a scenario with a poll result, then ask students to identify the population, sample, statistic, and parameter.
- Use a school election poll to discuss how a small random sample can estimate support among all eligible voters.
Plan a lesson for CCSS.Math.Content.HSS-IC.A.1
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Related standards
- CCSS.Math.Content.7.SP.A
Use random sampling to draw inferences about a population.
- CCSS.Math.Content.HSS-IC.A
Understand and evaluate random processes underlying statistical experiments
- CCSS.Math.Content.7.SP.A.2
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples)...
- CCSS.Math.Content.7.SP.A.1
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a...