Florida B.E.S.T. MA.912.DP.5.3

MathGrades 9–12Determine methods of data collection and make inferences from collected data.

The Standard

Compare and contrast sampling methods.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students examine how people or items are selected from a population. They name the sampling method and judge whether it is likely to represent the population fairly.

What Mastery Looks Like

Students can identify simple random, systematic, stratified, cluster, convenience, and voluntary response samples from a survey plan. They can explain how each method affects representation and bias.

Common Misconceptions

Students may call any sample random because participants were chosen without much planning. They often confuse stratified sampling, which selects from every group, with cluster sampling, which selects whole groups.

How to Assess It

Give students four survey plans and ask them to name each sampling method, identify likely bias, and choose the most representative plan.

Lesson moves

Ways to Teach It

  1. Use colored counters as a population, then have groups collect random, systematic, stratified, cluster, and convenience samples and compare results.

  2. Ask students to write which sampling method should estimate school lunch preferences and explain why two other methods may give biased results.

  3. Play a sorting game with survey-plan cards, placing each under random, systematic, stratified, cluster, convenience, or voluntary response.

  4. Compare how a news poll, customer receipt survey, and schoolwide survey select participants, then decide which results are most trustworthy.

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