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Assessments
NAEP Assessment Item, Grade 12: Use Trigonometric Identity
Discipline
Mathematics
Grades
9, 10, 11, 12
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Professional Commentary

Students are asked to evaluate, using a trigonometric identity, a trigonometric expression that looks complicated but is actually simple. This multiple-choice question is a sample test item used in grade 12 in the 1996 National Assessment of Educational Progress (see About NAEP). The URL link (above) takes the user directly to the NAEP test item, with access to performance data by various subgroups of students, a scoring key, and discussion of the content on which the item is based. The NAEP website allows users to build their own printable database of test items by clicking on Add Question in the upper right hand corner of the screen. NAEP Reference Number: 1996-12M10, No. 8. (sw)


Ohio Mathematics Academic Content Standards (2001)
Geometry and Spatial Sense Standard
Benchmarks (11–12)
A.
Use trigonometric relationships to verify and determine solutions in problem situations.
Grade Level Indicators (Grade 12)
2.
Derive and apply the basic trigonometric identities; i.e., angle addition, angle subtraction, and double angle.
Patterns, Functions and Algebra Standard
Benchmarks (8–10)
C.
Translate information from one representation (words, table, graph or equation) to another representation of a relation or function.
Grade Level Indicators (Grade 9)
2.
Generalize patterns using functions or relationships (linear, quadratic and exponential), and freely translate among tabular, graphical and symbolic representations.
Principles and Standards for School Mathematics
Algebra Standard
Represent and analyze mathematical situations and structures using algebraic symbols
Expectations (9–12)
understand the meaning of equivalent forms of expressions, equations, inequalities, and relations;