Mathematics | Course : Model Mathematics I (Integrated Pathway)
Domain - Interpreting Categorical and Quantitative Data
Cluster - Summarize, represent, and interpret data on two categorical and quantitative variables.
[MI.S-ID.B.6.a] - Fit a linear function to the data and use the fitted function to solve problems in the context of the data. Use given functions fitted to data or choose a function suggested by the context. Emphasize linear and exponential models.*
[MI.F-IF.A.2] -
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. For example, given a function representing a car loan, determine the balance of the loan at different points in time.
[MI.F-BF.B.3] -
Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Include linear and exponential models. (Focus on vertical translations for exponential functions). Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.
[MI.F-LE.A.2] -
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (including reading these from a table).*
[MI.S-ID.B.6.b] -
Informally assess the fit of a function by plotting and analyzing residuals.*