Access Point #: MAFS.912.A-REI.2.AP.4b (Archived Access Point)


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Solve quadratic equations by using the quadratic formula.

Clarifications:

Essential Understandings

Concrete:

  • Identify the quadratic formula.
  • Identify the numbers in the equation that would be used in the quadratic equation.
  • Use appropriate tools to calculate squares and square roots.
  • Order the steps for solving an equation using the quadratic formula.
Representation:
  • Perform operations under a radical.
  • Calculate using multiple operations.
  • Substitute numbers from the equation into the quadratic formula.
  • Calculate using the quadratic formula using appropriate tools.
  • Determine the root from adding the terms.
  • Determine the root from subtracting the terms.
  • Understand the following vocabulary and concepts: + symbol, factor, coefficient, terms, exponent, base, constant, variable, binomial, monomial, polynomial, square, square root.

Number: MAFS.912.A-REI.2.AP.4b Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Solve equations and inequalities in one variable. (Algebra 1 - Major Cluster) (Algebra 2 - Supporting 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-REI.2.4: Solve quadratic equations in one variable.
  1. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)² = q that has the same solutions. Derive the quadratic formula from this form.
  2. Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.



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