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
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