Standards Map

Mathematics > Course Model Algebra I (Traditional Pathway) > Linear, Quadratic, and Exponential Models
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Mathematics | Course : Model Algebra I (Traditional Pathway)

Domain - Linear, Quadratic, and Exponential Models

Cluster - Construct and compare linear, quadratic, and exponential models and solve problems.

[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).*

Resources:


  • Exponential function
    A function of the form y = a •bx where a > 0 and either 0 < b < 1 or b > 1. The variables do not have to be x and y. For example, A = 3.2 • (1.02)t is an exponential function.
  • Geometric sequence (progression)
    An ordered list of numbers that has a common ratio between consecutive terms, e.g., 2, 6, 18, 54,…
  • Linear function
    A function with an equation of the form y = mx + b, where m and b are constants

Predecessor Standards:

  • 8.F.B.4
    Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • AI.A-CED.A.1
    Create equations and inequalities in one variable and use them to solve problems. (Include equations arising from linear, quadratic, and exponential functions with integer exponents.)*
  • AI.F-BF.A.1
    Write linear, quadratic, and exponential functions that describe a relationship between two quantities.*
  • AI.F-BF.A.2
    Write arithmetic and geometric sequences both recursively and with an explicit formula them to model situations, and translate between the two forms.*
  • 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.1
    Distinguish between situations that can be modeled with linear functions and with exponential functions.*
  • AI.F-LE.B.5
    Interpret the parameters in a linear or exponential function (of the form f(x) = bx + k) in terms of a context.*
  • 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).
  • AII.A-SSE.B.4
    Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.* For example, calculate mortgage payments.