MA19.A1.4

Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.4
Interpret linear, quadratic, and exponential expressions in terms of a context by viewing one or more of their parts as a single entity.

Unpacked Content

Knowledge

Students know:

How to recognize the parts of linear, quadratic and exponential expressions and what each part represents.
When one form of an algebraic expression is more useful than an equivalent form of that same expression to solve a given problem.
That one or more parts of an expression can be viewed as a single entity.

Skills

Students are able to:

Use algebraic properties to produce equivalent forms of the same expression by recognizing underlying mathematical structures.
Interpret expressions in terms of a context.
View one or more parts of an expression as a single entity and determine the impact parts of the expression have in terms of the context.

Understanding

Students understand that:

Making connections among the parts of an expression reveals the roles of important mathematical features of a problem.

Vocabulary

Linear expression
Quadratic expression
Exponential expression
Equivalent expressions

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

Completing the Square (Part 1): Algebra 1, Episode 20: Unit 7, Lesson 12 | Illustrative Math

Character Study: Scout Finch

Mondrian Factoring Models

Express Yourself!

MA19.A1.4 Interpret linear, quadratic, and exponential expressions in terms of a context by viewing one or more of their parts as a single entity.