# Washington State Teacher Certification: Middle Level Math (4-9)

## Standard 4: Geometry and Measure

Candidates demonstrate a conceptual understanding of geometric properties and relationships as they apply to congruence, similarity, geometric figures, and the Cartesian Coordinate System.

4.A:
Understand congruence in terms of rigid motion
4.B:
Prove theorems involving triangle congruency and similarity
4.C:
Apply transformations and use similarity and congruence in mathematical situations
4.D:
Understand and perform geometric constructions physically and/or with technology
4.E:
Understand the Pythagorean Theorem and apply it to problem solving situations
4.F:
Solve real life and mathematical problems involving lines, angle measure, area, surface area, and volume
4.G:
Classify, visualize, and describe two-dimensional figures and three-dimensional objects as well as the relationship among them
4.H:
Apply geometric concepts to model real world situations

The minor in Mathematics for Middle School Teachers covers these standards in the courses indicated by the table below. Entries represent the level of competency expected in each course with 1 being low, 2 medium, and 3 high.

 4.A 4.B 4.C 4.D 4.E 4.F 4.G 4.H Mathematics for Elementary Teachers I (MATH 112) Mathematics for Elementary Teachers II (MATH 113) 2 2 2 2 3 1 1 Precalculus Mathematics I (MATH 121)† Precalculus Mathematics II (MATH 122)† 2 1 2 2 Calculus for the Life Sciences I (MATH 131), orCalculus I (MATH 181) 2 3 Data Analysis (MATH 215) Discrete Mathematics (MATH 250) Calculus II (MATH 281) 3 3 Calculus III (MATH 282) 2 3 3 3 Introductino to Linear Algebra (MATH 289) 1 1 1 Survey of Geometries in their Historical Contexts (MATH 321) 3 3 3 3 3 2 2 2 †While not required for the minor, these classes are prerequisites for MATH 181