Access Point #: MAFS.912.A-SSE.1.AP.2bArchived Access Point

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Use factoring techniques such as common factors, grouping, the difference of two squares, the sum or difference of two cubes, or a combination of methods to factor completely.
Clarifications:

Essential Understandings

Concrete:

  • Identify expressions with exponents.
  • Create a model with objects to show that the exponent of a number says how many times to use the number in a multiplication.
    • º e.g., substitute a chip for each “a"
    º begin mathsize 12px style a to the power of 7 end style = a × a × a × a × a × a × a = aaaaaaa
  • Factor a quadratic equation using a template.
  • Use algebra tiles to factor a quadratic equation.
  • Use a quadratic calculator to solve the expression. Click Here
Representation:
  • Simplify expression into expanded form (begin mathsize 12px style x to the power of 4 end style)(begin mathsize 12px style x cubed end style) = (xxxx)(xxx).
  • Simplify expression into the simplest form (begin mathsize 12px style x to the power of 4 end style)(begin mathsize 12px style x cubed end style) = (xxxx)(xxx) = (xxxxxxx) = begin mathsize 12px style x to the power of 7 end style.
  • Understand the concepts, symbols, and vocabulary for: expression, exponent, raising to a power and quadratic.
  • Understand that a quadratic function is a function where the biggest exponent is 2.
  • Factor the expression using the greatest common factor. For example, begin mathsize 12px style 2 x squared space plus space 4 x space equals space 0 end style can be factored into 2x(x + 2)=0.
  • Factor the expression in the form of  begin mathsize 12px style A x squared space plus space B x space plus space C space equals space 0 end style. For example, begin mathsize 12px style x squared space plus space 5 x space plus space 6 space equals space 0 end style can be factored into (x + 3)(x+2)=0, the zeros are -2 and -3 which means that the graph of the function crosses the x-axis at -2 and -3.
General Information
Number: MAFS.912.A-SSE.1.AP.2b
Category: Access Points
Date Adopted or Revised: 06/13
Cluster: Interpret the structure of expressions. (Algebra 1 - Major 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
1206330: Analytic Geometry
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

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