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999 West Dundee Road
Wheeling, Illinois 60090

Phone: 847-537-8270

Superintendent: Dr. Michael Connolly

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Mathematics

Statistics and Probability

Critical Content

Power Standards

  • Use random sampling to draw inferences about a population. (7.SP.1-2)
  • Find probabilities of simple and compound events. (7.SP.8)

 

Concepts and Skills

* Power Standard Content

  • * Understand meaning and value of random sampling
  • * Use samples to draw inferences
  • Compare two data distributions
  • Use measures of center and measures of variability to draw inferences about two populations
  • * Identify probability as a number between 0 and 1
  • * Utilize experimental and theoretical probability models
  • * Find probabilities of compound events

 

Critical Language

Language Usage

  • A student in 7th grade can demonstrate the ability to apply and comprehend critical language by investigating situations to find probabilities, and interpreting results and analyzing data.

 

Content-Specific Vocabulary

  • Random
  • Samples
  • Data distribution
  • Measures of center
  • Measures of variability
  • Probability
  • Experimental probability
  • Theoretical probability
  • Compound event
  • Tree diagram
  • Area model
  • Outcome
  • Event
  • Likely
  • Unlikely
  • Certain
  • Impossible
  • Equally likely
  • Population

 

Process-Specific Vocabulary

  • Sampling
  • Inferences
  • Compare

 

Concept-Based Connections

Essential Understandings

  • Data collection and analysis allows us to make more accurate inferences and predictions.

 

Factual Guiding Questions

  • How do you determine experimental probability?
  • How do you determine theoretical probability?
  • What are the possible outcomes that can occur for the events in a given situation?
  • What is the difference between a population and a sample?
  • What are different types of sampling methods?

 

Conceptual Guiding Questions

  • How can probabilities be used to make decisions about situations?
  • How can you compare two data distributions?
  • How do you use samples to draw inferences?
  • How can experimental and theoretical probabilities be used to determine if a game is fair?
  • How do the experimental and theoretical probabilities compare when you increase the number of trials in a game?
  • Based on the data, what do you predict/infer about this population?

 

Engaging/Debatable Guiding Questions

  • Which method would you use to find the theoretical probability for a given situation?
  • Which measure of center is appropriate for a given situation?
  • Were the ways in which the data were collected or analyzed likely to give results that represent the population? Why or why not?