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


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Solve quadratic equations by factoring.

Clarifications:

Essential Understandings

Concrete:

  • Use the distributive property to simplify expressions with manipulatives.
  • Use a template to expand and simplify the product of binomials.
  • Use algebra tiles to multiply binomials.
  • Use algebra tiles to factor quadratic equations.
  • Order the steps for multiplying binomials.
  • Order the steps for factoring quadratic equations.
  • Calculate the squares and square roots of rational numbers using appropriate tools.
  • Identify the factors of rational numbers using appropriate tools.
Representation:
  • Use the distributive property to simplify equations.
  • Use models to determine the factors of quadratics.
  • Use tools appropriately to determine factors for constants and coefficients (i.e., multiplication tables, calculators, multiplication matrixes).
  • Understand the following concepts and vocabulary: factor, coefficient, terms, exponent, base, constant, variable, binomial, monomial, polynomial.
  • Find the zeros of the equation.

Number: MAFS.912.A-REI.2.AP.4c 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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