Mathematics | Course : Model Algebra I (Traditional Pathway)
Domain - Interpreting Categorical and Quantitative Data
Cluster - Summarize, represent, and interpret data on two categorical and quantitative variable.
[AI.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 functions fitted to data or choose a function suggested by the context (emphasize linear and exponential models).
- Function
A mathematical relation for which each element of the domain corresponds to exactly one element of the range. - Linear function
A function with an equation of the form y = mx + b, where m and b are constants
[AI.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.
[AI.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, quadratic, exponential, and absolute value functions. Utilize technology to experiment with cases and illustrate an explanation of the effects on the graph.
[AI.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).*
[AI.S-ID.B.6.b] -
Informally assess the fit of a function by plotting and analyzing residuals.*