# Washingon State Teacher Certification: Mathematics (5-12)

## Standard 3: Algebra and Functions

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

3.A:
Use functional notation and interpret functions as they arise in different mathematical contexts
3.B:
Understand operations on algebraic expressions and functions (e.g., polynomials, rationals, and roots)
3.C:
Understand and prove properties of algebraic systems
3.D:
Create mathematical models using algebraic expressions
3.E:
Solve algebraic equations and inequalities with one or more variables
3.F:
Write equations and inequalities in equivalent forms (e.g., graphs, tables, and algebraic expressions) to gain a more complete understanding to solve problems
3.G:
Explain the connection among equivalent forms and their algebraic purposes
3.H:
Conceptually understand functions and build models of relationships between two quantities
3.I:
Analyze and model functions (e.g., linear quadratic, exponential, and trigonometric)

The B.S. degree in Mathematics, with a concentration in Secondary Education, covers these standards in the courses indicated in 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 3.I Precalculus Mathematics I (MATH 121)† 2 3 1 2 2 3 1 2 2 Precalculus Mathematics II (MATH 122)† 2 2 2 3 1 1 Calculus for the Life Sciences I (MATH 131), orCalculus I (MATH 181) 3 2 2 3 2 2 2 3 Data Analysis (MATH 215) 2 3 3 2 2 Discrete Mathematics (MATH 250) 2 1 2 2 1 2 Calculus II (MATH 281) 3 2 2 2 2 2 Calculus III (MATH 282) 3 2 2 2 2 2 Calculus IV (MATH 283) 3 2 2 2 2 2 Introduction to Linear Algebra (MATH 289) 1 2 2 3 3 3 1 2 Ordinary Differential Equations (MATH 312) 2 3 2 3 3 Probability and Statistics (MATH 315) 3 3 2 2 Survey of Geometries in Their Historical Contexts (MATH 321) Junior Mathematics Seminar I (MATH 396) Junior Mathemaitcs Seminar II (MATH 397) Real Analysis I (MATH 451) 3 3 3 2 1 Abstract Algebra I (MATH 461) 2 3 3 2 Senior Mathematics Seminar I (MATH 496) Senior Mathemaitcs Seminar II (MATH 497) †While not required for the major, these classes are prerequisites for MATH 181