Mathematics (2019) Grade(s): 6

MA19.6.17

Determine whether two expressions are equivalent and justify the reasoning.

Unpacked Content

Knowledge

Students know:
  • The properties of operations, including inverse, identity, commutative, associative, and distributive and their appropriate application to be able to determine whether two expressions are equivalent.
  • Conventions of order of operations.

Skills

Students are able to:
  • Accurately use the properties of operations to produce equivalent forms of an algebraic expression when interpreting mathematical and contextual situations.
  • Use mathematical reasoning to communicate the relationships between equivalent algebraic expressions.

Understanding

Students understand that:
  • Manipulation of expressions via properties of the operations verifies mathematically that two expressions are equivalent.
  • Reasoning about the context from which expressions arise allows for interpretation and meaning to be placed on each of the expressions and their equivalence.

Vocabulary

  • Equivalent
  • Expressions
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