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.1] - Distinguish between situations that can be modeled with linear functions and with exponential functions.*

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.
  • Linear function
    A function with an equation of the form y = mx + b, where m and b are constants
  • Model
    A mathematical representation (e.g., number, graph, matrix, equation(s), geometric figure) for real-world or mathematical objects, properties, actions, or relationships.

Predecessor Standards:

  • 7.RP.A.3
    Use proportional relationships to solve multi-step ratio, rate, and percent problems. For example: simple interest, tax, price increases and discounts, gratuities and commissions, fees, percent increase and decrease, percent error.
  • 8.F.A.3
    Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

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.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-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).*