SP.1.2

Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions. For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be.

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Formative Assessments
Formative Assessments
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CPALMS: Students are asked to use data from a random sample to draw an inference about a population.

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CPALMS: Students are asked to use sample data to make and assess a prediction.

Prediction Predicament

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CPALMS: Students are asked to use data from a random sample to estimate a population parameter and explain what might be done to increase confidence in the estimate.

School Days

Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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Assessment Questions
Assessment Questions
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Multiple Choice 4
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Videos of Expert Instruction
Videos of Expert Instruction
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Entrepreneur and meteorologist Mark Powell discusses the need for statistics in his mathematical modeling program to help better understand hurricanes.
Mathematically Modeling Hurricanes
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Deep sea shark researcher, Chip Cotton, discusses the need for a Power Analysis to determine the critical sample size in order to make inferences on how oil spills affect shark populations.
Sample Size and Shark Research
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This teacher explains how a 3D-printed quadrat can be used with an M&M sampling lesson to engage students when they explore how to use data from a random sample to draw inferences about a population.
Quadrat Sampling M&M Lesson
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Guess how many of those packs will have exactly one yellow Starburst, Two yellow Starbursts.
Quadrat Sampling M&M Lesson
Hook/Performance Tasks
Hook/Performance Tasks
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Illustrative Mathematics: Minitab software was used to generate 100 random samples of size 16 from a population where the probability of obtaining a success in one draw is 33.6%. Students may develop a sense that the results of the 100 simulations tell what sample proportions would be expected for a sample of size 16 from a population with about one-third successes.

Valentine Marbles