Access Point #: MAFS.912.A-APR.2.AP.3bArchived Access Point

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
General Information
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

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1200310: Algebra 1
1200320: Algebra 1 Honors
1200330: Algebra 2
1200340: Algebra 2 Honors
1200380: Algebra 1-B
1200400: Foundational Skills in Mathematics 9-12
1207310: Liberal Arts Mathematics
1201300: Mathematical Analysis Honors
1200410: Mathematics for College Success
1200700: Mathematics for College Algebra
7912090: Access Algebra 1B
1200315: Algebra 1 for Credit Recovery
1200335: Algebra 2 for Credit Recovery
1200385: Algebra 1-B for Credit Recovery
7912075: Access Algebra 1
7912095: Access Algebra 2
1200387: Mathematics for Data and Financial Literacy

Related Resources

Vetted resources educators can use to teach the concepts and skills in this access point.

Student Resources

Vetted resources students can use to learn the concepts and skills in this access point.

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this access point.