Module IV: Algebraic Concepts

Rationale: Algebra is the language of mathematics. Much of the observable world can be characterized as having patterned regularity where a change in one quantity results in changes in other quantities. Through algebra and the use of variables and functions, mathematical models can be built which are essential to personal, scientific, economic, social, medical, artistic, and civic fields of inquiry.

Wisconsin Model Academic Standards


The Praxis II Middle School Content Examination emphasizes your ability to apply mathematical procedures and algorithms to solve a variety of problems that span multiple mathematics content areas. The content area of algebraic concepts accounts for 10% of the mathematics component of the Middle School Content Examination and includes the following topics.

Algebraic Representations: Examinees will represent algebraic concepts in a variety of ways including expressions, equations, formulas, tables, graphs and other representations.

Number Patterns: Examinees will describe patterns by writing or identifying a formula.

Algebraic Properties: Examinees will recognize and apply the field properties of real numbers such as the associative, commutative, and distributive properties; the additive and multiplicative inverses; and the special properties of zero and one

Algebraic Procedures: Examinees will be able to simplify algebraic expression and solve algebraic equations (in one or two variables) and inequalities. They will apply these procedures and other algebraic formulas to solve a variety of problems.

Algebraic Functions: Examinees will represent linear functions in graphical form and understand the concept of slope and y-intercepts. They will be able to interpret the graphical representation of other types of functions.

You may select the Module IV Full Text to print all resources pertaining to these topics.