MA19.7.6

Mathematics (2019) Grade(s): 7

MA19.7.6

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

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.
  • There are many different ways to write the same expression.

Vocabulary

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