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

## Standard 6: Ratios and Proportional Relationships

Candidates demonstrate conceptual understanding and procedural fluency in analyzing proportional relationships and solving real world mathematical problems.

6.A:
Describe and determine additive versus multiplicative perspectives
6.B:
Reason and compute with ratios and the constant of proportionality (unit rate) to solve real world and mathematical problems
6.C:
Recognize, describe, and represent equivalent ratios, rates, and proportional relationships
6.D:
Represent and analyze proportional relationships using tables, graphs, equations, diagrams, concrete and mathematical models, and verbal descriptions of proportional relationships
6.E:
Compute the constant of proportionality (unit rate) associated with rational numbers
6.F:
Recognize and connect proportional relationships to geometry, measurement, statistics, probability, and function
6.G:
Use ratio reasoning to convert measurement units
6.H:
Apply ratio and proportion 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.

 6.A 6.B 6.C 6.D 6.E 6.F 6.G 6.H Mathematics for Elementary Teachers I (MATH 112) 2 2 2 2 1 2 Mathematics for Elementary Teachers II (MATH 113) 3 3 3 Precalculus Mathematics I (MATH 121)† 3 2 3 3 Precalculus Mathematics II (MATH 122)† 1 Calculus for the Life Sciences I (MATH 131), orCalculus I (MATH 181) 3 3 2 2 3 Data Analysis (MATH 215) 3 2 1 Discrete Mathematics (MATH 250) Calculus II (MATH 281) Calculus III (MATH 282) Introduction to Linear Algebra (MATH 289) 1 1 Survey of Geometries in their Historical Contexts (MATH 321) 2 2 2 †While not required for the minor, these classes are prerequisites for MATH 181