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

Simplify expressions including combining like terms, using the distributive property, and other operations with polynomials.
Clarifications:

Essential Understandings

Concrete:

  • Use manipulatives (pattern blocks, two-way counters) to represent the problem.
  • Use a tool (such as a mat, table or graphic organizer) to separate the expression into parts.
  • Use algebra tiles to represent the expression.
  • Create a model with objects to show the distributive property, combining like terms and other operations with polynomials. Click Here
Representation:
  • Understand the following related vocabulary and symbols: add (+), subtract (-), multiply (x), divide (÷), equal (=), base number, exponent, integer.
  • Understand commutative, associative, identity, and distributive properties.
  • Add, subtract, multiply, and divide variables.
  • Understand the difference between coefficients and exponents.
  • Combine coefficients.
  • Combine exponents (rules of exponents).
  • Select the correct expanded form of what an exponent represents: 
    begin mathsize 12px style open parentheses e. g. comma space 8 cubed space equals space 8 cross times 8 cross times 8 close parentheses end style.
  • Identify the number of times the base number will be multiplied based on the exponent.
  • Understand that a negative exponent will result in a fraction with a numerator of 1
    begin mathsize 12px style left parenthesis e. g. comma space 5 to the power of negative 2 end exponent space equals space 1 divided by 25 right parenthesis end style.
  • 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 following concepts, symbols, and vocabulary for: expression, exponent, raising to a power.
  • Use virtual manipulatives to represent the problem.
General Information
Number: MAFS.912.A-SSE.1.AP.2c
Category: Access Points
Date Adopted or Revised: 07/14
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

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.