# 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.