Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.12

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. [Grade 7, 6]

Unpacked Content

Knowledge

Students know:
  • How to add, subtract, multiply, and divide rational numbers.
  • A(b + c) = ab + ac.
  • how to find the greatest common factor of two or more terms.

Skills

Students are able to:
  • Apply properties of operations as strategies to add and subtract linear expressions with rational coefficients.
  • Apply properties of operations as strategies to factor linear expressions with rational coefficients.
  • Apply properties of operations as strategies to expand linear expressions with rational coefficients.

Understanding

Students understand that:
  • Only like terms can be combined, e.g., x + y = x + y but x + x = 2x.
  • To factor an expression, one must factor out the greatest common factor.

Vocabulary

  • Term
  • like terms
  • Constant
  • Factor
  • Expression
  • Rational coefficient
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