MA19.8A.4

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

MA19.8A.4
Interpret linear, quadratic, and exponential expressions in terms of a context by viewing one or more of their parts as a single entity. [Algebra I with Probability, 4]

Unpacked Content

Knowledge

Students know:

Interpretations of parts of algebraic expressions such as terms, factors, and coefficients.

Skills

Students are able to:

Produce mathematical expressions that model given contexts.
Provide a context that a given mathematical expression accurately fits.
Explain the reasoning for selecting a particular algebraic expression by connecting the quantities in the expression to the physical situation that produced them.

Understanding

Students understand that:

Physical situations can be represented by algebraic expressions which combine numbers from the context, variables representing unknown quantities, and operations indicated by the context.
Different, but equivalent, algebraic expressions can be formed by approaching the context from a different perspective.

Vocabulary

Expression
Terms
Coefficient
Factors
linear expression
quadratic expression
Exponential expression

COS Examples

Example: Interpret the accrued amount of investment $P(1 + r)^t$, where $P$ is the principal and $r$ is the interest rate, as the product of $P$ and a factor depending on time $t$.

Aligned Learning Resources

Mondrian Factoring Models

Express Yourself!

MA19.8A.4 Interpret linear, quadratic, and exponential expressions in terms of a context by viewing one or more of their parts as a single entity. [Algebra I with Probability, 4]