Standards Map

Mathematics > Grade 8 > Functions
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Mathematics | Grade : 8

Domain - Functions

Cluster - Define, evaluate, and compare functions.

[8.F.A.1] - Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. [Note: Function notation is not required in grade 8.]

Resources:

Predecessor Standards:

  • 7.RP.A.2
    Recognize and represent proportional relationships between quantities.

Successor Standards:

  • AI.F-IF.A.1
    Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output (range) of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
  • AI.F-IF.C.7.a
    Graph linear and quadratic functions and show intercepts, maxima, and minima.*
  • AI.F-IF.C.7.e
    Graph exponential functions showing intercepts and end behavior.*
  • GEO.G-CO.A.2
    Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
  • AII.F-IF.C.7.b
    Graph square root and cube root functions.*
  • AII.F-IF.C.7.c
    Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.*
  • MI.F-IF.A.1
    Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
  • MI.F-IF.C.7.a
    Graph linear functions and show intercepts.*
  • MI.F-IF.C.7.e
    Graph exponential functions, showing intercepts and end behavior.*
  • MI.G-CO.A.2
    Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
  • MII.F-IF.C.7.b
    Graph piecewise-defined functions, including step functions and absolute value functions.*
  • MIII.F-IF.C.7.c
    Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.*
  • PC.F-IF.C.7.d
    (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.*

Same Level Standards:

  • 8.F.A.2
    Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
  • 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.