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
