MathematicsInferences

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Unit Information

Content Map: Inferences

Checklist: Inferences

Unit 4: Examples and Explanations of Standards

Prerequisites: As identified by the CCGPS Frameworks

  • Analyzing patterns and seeing relationships.

  • Represent and interpret data, using addition and subtraction, multiplication and division.

  • Data can be represented graphically in a variety of ways. The type of graph is selected to best represent a particular data set.

  • Measures of center (mean, median, mode) and measures of variation (range, quartiles, interquartile range) can be used to analyze data.

Unit Length: 10-13 days

Resources by Concept: (click on a concept)

  • Concept 1: Samples & Inferences

  • Concept 2: Variance & Inferences

Concept 1: Samples & Inferences
Standards:
  • TCV.7.SP.1 (1) Examine the statistics of a sample of a population to gain information about the entire population.

  • TCV.7.SP.1 (2) Describe why random sampling must be representative of a population in order to support valid inferences.

  • TCV.7.SP.2 (1) Use data from a random sample to draw inferences about a population with an unknown characteristic or interest.

 
Essential Questions:
  • In what ways are sample statistics related to the corresponding population parameters?
  • What conclusions can be drawn from data?
  • How can I describe the center of a set of data?
Key Vocabulary:
Grouped frequency table                     histogram
measures of center                             mean
mean absolute deviation                     median
stem-and-leaf plot                              outlier
mutually exclusive                              sample
simple random sampling                   
Resources:
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Concept 2: Variance & Inferences
Standards:
  • TCV.7.SP.2 (2) Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

  • CC.7.SP.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

  • CC.7.SP.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.


Essential Questions:
  • What conclusions can be drawn from data?
  • How can I describe the center of a set of data?
  • How can I describe the variation within a data set?
  • How can I use data to compare different groups?
Key Vocabulary:
maximum value                                 frequency
minimum value                                  range
box & whisker plot                             measures of spread
inter-quartile range
Resources:

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