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


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Given a quadratic function, explain the meaning of the zeros of the function (e.g., if f(x) = (x - c) (x - a) then f(a) = 0 and f(c) = 0).

Clarifications:

Essential Understandings

Concrete:

  • Use a tool to determine whether the quadratic function crosses the x-axis. Click Here
  • Use a graphing tool or graphing software to find the roots (where the function intersects the x-axis) of a function.
Representation:
  • Understand the following concepts and vocabulary: root, factor, quadratic, integer, real number, quadratic equation, quadratic formula, square root, solution, terms, coefficient, intercept, intersect, zero.
  • Understand that a root (zero) is the point where a function intersects the x-axis.

Number: MAFS.912.A-SSE.2.AP.3b Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Write expressions in equivalent forms to solve problems. (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-SSE.2.3:

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

  1. Factor a quadratic expression to reveal the zeros of the function it defines.
  2. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
  3. Use the properties of exponents to transform expressions for exponential functions. For example the expression can be rewritten as to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.



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