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.1.c] - Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.*

Resources:

    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.
    • 8.F.B.5
      Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

    Successor Standards:

    No Successor Standards found.

    Same Level Standards:

    • 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-LE.A.1.a
      Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.*
    • AI.F-LE.A.1.b
      Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.*
    • HS.PHY.1.8
      Develop a model to illustrate the energy released or absorbed during the processes of fission, fusion, and radioactive decay. Clarification Statements: Examples of models include simple qualitative models, such as pictures or diagrams. Types of radioactive decay include alpha, beta, and gamma. State Assessment Boundary: Quantitative calculations of energy released or absorbed are not expected in state assessment.
    • HS.PHY.2.1
      Analyze data to support the claim that Newton’s second law of motion is a mathematical model describing change in motion (the acceleration) of objects when acted on by a net force. Clarification Statements: Examples of data could include tables or graphs of position or velocity as a function of time for objects subject to a net unbalanced force, such as a falling object, an object rolling down a ramp, and a moving object being pulled by a constant force. Forces can include contact forces, including friction, and forces acting at a distance, such as gravity and magnetic forces. State Assessment Boundary: Variable forces are not expected in state assessment.