Study Guide

Field 111: Advanced Mathematics 
Test Design and Framework

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The test design below describes general assessment information. The framework that follows is a detailed outline that explains the knowledge and skills that this test measures.

Test Design

Test overview, including duration of test, number of questions, and passing score.
Format Computer-based test ( C B T )
Number of Questions 80 selected-response questions and 1 constructed-response assignment
Time* 4 hours
Passing Score 240

*Does not include 15-minute  C B T  tutorial

Test Framework

Pie chart of approximate test weighting outlined in the table below.

test weighting by number of questions per subarea part 1 of 2.
subareas range of competencies approximate percentage of test
selected-response
roman numeral 1 number properties and number sense 0001–0002 12 percent
roman numeral 2 relations, functions, and algebra 0003–0009 27 percent
roman numeral 3 trigonometry and calculus 0010–0014 20 percent
roman numeral 4 measurement and geometry 0015–0017 13 percent
roman numeral 5 probability, statistics, and discrete mathematics 0018–0020 13 percent
this cell intentionally left blank. 85 percent
test weighting by number of questions per subarea part 2 of 2.
subareas range of competencies approximate percentage of test
constructed-response
roman numeral 6 pedagogical content knowledge 0021 15 percent

Subarea roman numeral 1–Number Properties and Number Sense

Competency 0001–Apply knowledge of the structure, properties, and operations of the real number system.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0002–Apply knowledge of number theory and the complex number system.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Subarea roman numeral 2–Relations, Functions, and Algebra

Competency 0003–Analyze the principles and properties of algebraic relations and functions.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0004–Apply algebraic techniques.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0005–Analyze the principles and properties of linear algebra.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0006–Apply the properties of linear functions and relations.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0007–Analyze the properties of quadratic and higher-order polynomial relations and functions.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0008–Apply the principles and properties of rational, radical, piecewise, and absolute value functions.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0009–Apply the principles and properties of exponential and logarithmic functions.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Subarea roman numeral 3–Trigonometry and Calculus

Competency 0010–Analyze the principles and properties of and relationships involving trigonometric functions and their graphic representations.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0011–Apply the principles and techniques of trigonometry to model and solve problems.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0012–Apply the principles and properties of limits, continuity, and average rates of change.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0013–Apply the principles and techniques of differential calculus.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0014–Apply the principles and techniques of integral calculus.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Subarea roman numeral 4–Measurement and Geometry

Competency 0015–Apply principles and procedures related to measurement.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0016–Apply the principles and properties of Euclidean geometry in two and three dimensions.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0017–Apply the principles and properties of coordinate geometry.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Subarea roman numeral 5–Probability, Statistics, and Discrete Mathematics

Competency 0018–Apply the principles, properties, and techniques of probability.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0019–Apply the principles, properties, and techniques of statistics.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Competency 0020–Apply the principles of discrete mathematics.

 start italics The following topics are examples of content that may be covered under this competency. end italics 

Subarea roman numeral 6–Pedagogical Content Knowledge

Competency 0021–Analyze a lesson plan for a given learning standard in the Oklahoma Academic Standards for Mathematics, including examples of student work and/or assessments, and describe subsequent activities that address student needs on the basis of your analysis.

 start italics The following topics are examples of content that may be covered under this competency. end italics