MA19.8A.5

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

MA19.8A.5
Use the structure of an expression to identify ways to rewrite it. [Algebra I with Probability, 5]

Unpacked Content

Knowledge

Students know:

Properties of operations (including those in Appendix D, Table 1),
When one form of an algebraic expression is more useful than an equivalent form of that same expression.

Skills

Students are able to:

-Use algebraic properties to produce equivalent forms of the same expression by recognizing underlying mathematical structures.
For example, 3(x-5) = 3x-15 and 2a+12 = 2(a+6) or3a-a+10+2and x2-2x-15 = (x-5) (x+3).

Understanding

Students understand that:

Generating simpler, but equivalent, algebraic expressions facilitates the investigation of more complex algebraic expressions.

Vocabulary

like terms
Expression
Factor
properties of operations (Appendix D, Table 1)
Difference of squares

COS Examples

Example: See $x^4 - y^4$ as $(x^2)^2 - (y^2)^2$, thus recognizing it as a difference of squares that can be factored as $(x^2 - y^2)(x^2 + y^2)$.

Aligned Learning Resources

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