Washingon State Teacher Certification: Mathematics (5-12)
Standard 2: Number and Quantity
Candidates demonstrate a conceptual understanding of and procedural facility with operations and number systems.
- 2.A:
- Understand the structure, properties, characteristics of, and relationships bettween number systems including whole numbers, integers, rational, real, and complex numbers
- 2.B:
- Understand arithmetic operations of different number systems and their properties
- 2.C:
- Understand vectors and matrices
- 2.C.1:
- Represent and model with vector quantities and matrices
- 2.C.2:
- Perform operations on vectors and matrices
- 2.C.3:
- Understand the properties of operations using vectors and matrices
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.
2.A | 2.B | 2.C | 2.C.1 | 2.C.2 | 2.C.3 | |||
Precalculus Mathematics I (MATH 121)^{†} | 2 | 2 | ||||||
Precalculus Mathematics II (MATH 122)^{†} | 2 | 2 | 2 | 2 | 1 | |||
Calculus for the Life Sciences I (MATH 131), or Calculus I (MATH 181) |
1 | |||||||
Data Analysis (MATH 215) | 3 | 1 | 1 | |||||
Discrete Mathematics (MATH 250) | 3 | 2 | 2 | |||||
Calculus II (MATH 281) | 1 | |||||||
Calculus III (MATH 282) | 1 | 2 | 2 | 2 | ||||
Calculus IV (MATH 283) | 1 | 1 | ||||||
Introduction to Linear Algebra (MATH 289) | 3 | 3 | 3 | 3 | ||||
Ordinary Differential Equations (MATH 312) | 2 | |||||||
Probability and Statistics (MATH 315) | ||||||||
Survey of Geometries in their Historical Contexts (MATH 321) | ||||||||
Junior Mathematics Seminar I (MATH 396) | ||||||||
Junior Mathematics Seminar II (MATH 397) | ||||||||
Real Analysis I (MATH 451) | 3 | 3 | ||||||
Real Analysis II (MATH 452) | ||||||||
Abstract Algebra I (MATH 461) | 2 | 3 | 2 | 2 | 2 | |||
Senior Mathematics Seminar I (MATH 496) | ||||||||
Senior Mathematics Seminar II (MATH 497) | ||||||||
^{†}While not required for the major, these classes are prerequisites for MATH 181 |