Standards Map

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

Domain - Linear, Quadratic, and Exponential Models

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

[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).*

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:

  • MI.A-CED.A.1
    Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and exponential functions with integer exponents.*
  • MI.F-BF.A.1
    Write linear and exponential functions that describe a relationship between two quantities.*
  • MI.F-BF.A.2
    Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.*
  • 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.1
    Distinguish between situations that can be modeled with linear functions and with exponential functions.*
  • MI.F-LE.B.5
    Interpret the parameters in a linear function or exponential function (of the form f(x) = bx + k) in terms of a context.*
  • 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.*
  • MIII.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.