MA19.8A.7

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.7

Add, subtract, and multiply polynomials, showing that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication. [Algebra I with Probability, 7]

Unpacked Content

Knowledge

Students know:
  • Corresponding rules of arithmetic of integers, specifically what it means for the integers to be closed under addition, subtraction, and multiplication, and not under division,
  • Procedures for performing addition, subtraction, and multiplication on polynomials.

Skills

Students are able to:
  • Communicate the connection between the rules for arithmetic on integers and the corresponding rules for arithmetic on polynomials,
  • Accurately perform combinations of operations on various polynomials.

Understanding

Students understand that:
  • There is an operational connection between the arithmetic on integers and the arithmetic on polynomials.

Vocabulary

  • Polynomials
  • Closure
  • Analogous system
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