# Washington State Teacher Certification: Middle Level Math (4-9)

## Standard 3: Algebra and Functions

Candidates demonstrate a conceptual understanding of and procedural facility with algebra concepts emphasizing functions.

3.A:
Solve and graphically represent real life and mathematical problems using numerical and algebraic expressions, equations, inequalities, and systems of equations and inequalities
3.B:
Understand the connections between proportional relationships, lines, and linear equations and use them to solve real world and mathematical problems
3.C:
Use functional notation and interpret expressions for functions as they arise in terms of the situation they model (e.g., linear, quadratic, simple rational, and exponential)
3.D:
Understand operations on algebraic expressions and functions (e.g., polynomials, rationals, and roots)
3.E:
Apply arithmetic properties to algebraic expressions and equations
3.F:
Write equations and inequalities in equivalent forms
3.G:
Analyze and model functions
3.H:
Explain the interrelationship between the various representations of a function (e.g., graphs, tables, algebraic expressions, concrete models, and contexts)

The minor in Mathematics for Middle School Teachers covers these standards in the courses indicated by the table below. Entries represent the level of competency expected in each course with 1 being low, 2 medium, and 3 high.

 3.A 3.B 3.C 3.D 3.E 3.F 3.G 3.H Mathematics for Elementary Teachers I (MATH 112) 1 Mathematics for Elementary Teachers II (MATH 113) 2 1 1 1 1 1 Precalculus Mathematics I (MATH 121)† 3 2 2 3 3 3 2 2 Precalculus Mathematics II (MATH 122)† 3 3 2 3 2 1 Calculus for the Life Sciences I (MATH 131), orCalculus I (MATH 181) 3 3 3 2 2 2 3 2 Data Analysis (MATH 215) 1 1 2 2 3 Discrete Mathematics (MATH 250) 1 2 1 1 2 3 Calculus II (MATH 281) 3 1 3 2 2 2 Calculus III (MATH 282) 3 1 3 2 2 3 Introductino to Linear Algebra (MATH 289) 3 3 1 3 1 Survey of Geometries in their Historical Contexts (MATH 321) 1 †While not required for the minor, these classes are prerequisites for MATH 181