# 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.

5.A:
Summarize, represent, and interpret single variable and multivariate data that can be categorical or continuous
5.B:
Represent and interpret linear regression models
5.C:
Apply statistical concepts and representations to model real world situations
5.D:
Use appropriate technology to collect, represent, and analyze data
5.E:
Make inferences, collect data from random experiments, and justify conclusions
5.E.1:
Conduct random sampling
5.E.2:
Evaluate a statistical experiment with respect to the assumption of randomization
5.E.3:
Make and justify conclusions about inferences from appropriate statistical analysis of data
5.F:
Understand and apply the principles of probability (complementary events, mutually exclusive events, independent, and dependent events) to compute probabilities of compound events
5.G:
Apply probability concepts to model real world situations
5.H:
Use probability to make and inform decisions
5.H.1:
Calculate expected values
5.H.2:
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