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) |
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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) | |||||||||||||
Real Analysis II (MATH 452) | |||||||||||||
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 |