Access Point #: MAFS.912.A-APR.2.AP.3b (Archived Access Point)


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Use the zeros of a function to sketch a graph of the function.

Clarifications:

Essential Understandings

Concrete:

  • Use a graphing tool or graphing software to sketch the graph given the roots (where the function intersects the x-axis) of a function.
    MathPortal: Click Here
  • Trace the graph of a function given a template.
  • Identify the zeros of a function on a coordinate plane.
  • Match the polynomial function with its corresponding graph.
  • Match the graph of the polynomial function with its roots (zeros).
Representation:
  • Understand the following concepts and vocabulary: root, factor, quadratic, integer, real number, quadratic equation, quadratic formula, polynomial, degree, exponent, end behavior, square root, solution, terms, coefficient, intercept, intersect, zero.
  • Understand that a root is where a function crosses the x-axis.

    Example graph for statement •	Understand that a root is where a function crosses the x-axis.
  • Understand that the degree (largest exponent) of a polynomial determines the type and shape of the graph.

    Example Constant, Linear, Quadratic, and Cubic graphs.
  • Determine the direction (end behavior) of the sketch of the graph.

    Examples for statement: •	Determine the direction (end behavior) of the sketch of the graph.
  • For example:

    Evan and odd examples.
  • Teacher tools:
    Purple Math: Click Here
    LearnZillion: Click Here

Number: MAFS.912.A-APR.2.AP.3b Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Understand the relationship between zeros and factors of polynomials. (Algebra 1 - Supporting Cluster) (Algebra 2 - Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.912.A-APR.2.3: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.




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