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?