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), or Calculus 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 | ||||
Real Analysis II (MATH 452) | 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 |