Florida B.E.S.T. MA.912.DP.5.4
The Standard
Generate multiple samples or simulated samples of the same size to measure the variation in estimates or predictions.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students take repeated random samples with the same number of observations and calculate an estimate from each one. They compare the results to see how much estimates change by chance.
What Mastery Looks Like
- Students can generate repeated random samples, calculate a mean or proportion for each, and display the results. They can describe the center and spread of the estimates and explain why results differ.
Common Misconceptions
- Students may treat one sample result as the exact population value. They may compare samples of different sizes or confuse variation among estimates with variation among individual data values.
How to Assess It
- Have students use a random number generator to create ten samples of 20 coin flips. They record each proportion of heads and describe how the estimates vary.
Lesson moves
Ways to Teach It
Place colored tiles in bags, then have teams draw 10 tiles with replacement five times and graph each red tile proportion.
Show dot plots from repeated samples of 20 and 100, then ask students which gives more dependable estimates and why.
Pairs roll a die 20 times in five rounds, estimate the proportion of sixes, and compare each round with the expected proportion.
Give students a voter poll dataset, then have them take equal random samples and compare their predicted support percentages.
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Related Standards
- MA.912.DP.1.4
Estimate a population total, mean or percentage using data from a sample survey; develop a margin of error through the use of simulation.
- MA.912.DP.5.10
Determine whether differences between parameters are significant using simulations.
- MA.912.DP.5.3
Compare and contrast sampling methods.
- MA.8.DP.2
Represent and find probabilities of repeated experiments.
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