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]

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 $t$.

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
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