Washingon State Teacher Certification: Mathematics (5-12)

Standard 5: Statistics and Probability

Candidates demonstrate a conceptual understanding of and procedural facility with statistics and probability.

Summarize, represent, and interpret single variable and multivariate data that can be categorical or continuous
Represent and interpret linear regression models
Apply statistical concepts and representations to model real world situations
Use appropriate technology to collect, represent, and analyze data
Make inferences, collect data from random experiments, and justify conclusions
Conduct random sampling
Evaluate a statistical experiment with respect to the assumption of randomization
Make and justify conclusions about inferences from appropriate statistical analysis of data
Understand and apply the principles of probability (complementary events, mutually exclusive events, independent, and dependent events) to compute probabilities of compound events
Apply probability concepts to model real world situations
Use probability to make and inform decisions
Calculate expected values
Make inferences from binomial probability distributions (e.g., sampling populations from a binary sample space)

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.

5.A 5.B 5.C 5.D 5.E 5.E.1 5.E.2 5.E.3 5.F 5.G 5.H 5.H.1 5.H.2
Precalculus Mathematics I (MATH 121)
Precalculus Mathematics II (MATH 122)
Life Science Calc (MATH 131),
or Calculus I (MATH 181)
Data Analysis (MATH 215) 3 3 3 3 3 3 3 3 2 3 3 1 2
Discrete Mathematics (MATH 250) 1 1
Calculus II (MATH 281)
Calculus III (MATH 282)
Calculus IV (MATH 283) 2
Introduction to Linear Algebra (MATH 289) 1
Ordinary Differential Equations (MATH 312)
Probability and Statistics (MATH 315) 2 3 3 1 3 1 2 3 3 3 3 3 3
Survey of Geometries (MATH 321)
Junior Seminar I (MATH 396)
Junior Seminar II (MATH 397)
Real Analysis I (MATH 451)
Abstract Algebra I (MATH 461)
Senior Seminar I (MATH 496)
Senior Seminar II (MATH 497)
While not required for the major, these classes are prerequisites for MATH 181
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