Resources for Modules

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Resources for Modules

Understanding Descriptive Statistics Module

Some larger questions that the module addresses:

  • What information is contained in descriptive measures of a dataset?
  • What are differences in datasets can be explored using the descriptive measures?
  • How can choices about constructing plots and graphs impact the viewers understanding of a dataset and its descriptive measures?
  • How does one report descriptive statistics in the appropriate manner for a given dataset?

Specific skills. Students will be able to:

  • Calculate mean, median, mode, standard deviation, distributions and percentile rank
  • Construct plots and graphs to describe properties of a large dataset
  • Use exploratory descriptive methods to summarize characteristics of the dataset

Application Question Topics

  • Biology: Fish Growth with Treatment and Control
  • Biology: Plant Growth in Light and Dark
  • Public Health: Life Expectancy
  • Environmental Studies: Fatalities from Hurricanes

Additional resources and example problems for descriptive statistics. 


Understanding Linear Functions Module

Some larger questions that the module addresses:

  • What information about the behavior of a linear function is contained in the slope and intercept?
  • How can graphs of linear functions be used to describe model systems?
  • How can you connect the algebraic and graphical representations of linear functions?
  • How can graphs of linear functions be used to compare the behavior of systems?

Specific skills. Students will be able to:

  • Convert linear equations to the slope-intercept form
  • Construct graphs of linear equations
  • Recognize functions that vary directly and inversely

Application Question Topics

  • Astronomy: Pulsar timing
  • Biology: Logistic population growth model
  • Biology/Chemistry: Spectrophotometers
  • Chemistry: Ideal gas
  • Economics: Consumption Function
  • Geology/ Environmental Science: Glacial Retreat
  • Physics: Motion at constant speed
  • (In Development) Psychology: Weber’s Law

Application Questions That Stretch Your Thinking

  • Biology: Enzyme kinetics
  • Economics: Supply and demand
  • Physics: Motion with changing speed
  • Physics: Motion with constant acceleration

Additional resources and example problems for linear equations. 


Understanding Exponents and Logarithms Module

Some larger questions that the module addresses:

  • How are exponential and logarithmic functions related to each other?
  • How do logarithmic and exponential functions help us work with large numbers and put them into context?
  • What types of real-world systems are modeled by exponential and logarithmic functions?

Specific skills. Students will be able to:

  • Manipulate algebraic expressions that involve exponents and logarithms.
  • Interpret graphs involving exponential or logarithmic functions.
  • Use logs/exponents to analyze the number of steps in algorithms.
  • Work with different bases. (Most common — base 10, base e, and base 2. Others that we should consider?)

Application Problem Topics

  • Computer Science: Binary Sort
  • Economics: Estimating the Time for an Investment Asset to Double in Value
  • Geoscience: Earthquakes and the Richter scale
  • Chemistry: Radioactive Materials rate of decomposition
  • Neuroscience: Perception of sound

Additional resources and example problems for logs and exponents.