Ohio Resource Center
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Trigonometry for Solving Problems
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ORC# 1111
Resource Information
Resource URL: http://illuminations.nctm.org/LessonDetail.aspx?ID=L383
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 10–12
Professional Commentary: These activities can enhance students' appreciation for trigonometry as a tool in problem solving. Students should be familiar with trigonometric functions and their values for special angles....
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NAEP Assessment Item, Grade 12: Find the Length of a Segment in a Triangle
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ORC# 1996
Resource Information
Resource URL: http://nces.ed.gov/nationsreportcard/itmrls/portal.asp?questionl...
Resource Type: Assessments
Discipline: Mathematics
Grades: Grades 7–12
Professional Commentary: This multi-step problem asks students to find the length of a line segment using similar triangles and simple trigonometry. This multiple-choice question is a sample test item used in grade 12 in the 1992 National Assessment of Educational Progress (see About NAEP)....
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NAEP Assessment Item, Grade 12: Apply Trigonometry in Pyramid to Find Angle
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ORC# 2021
Resource Information
Resource URL: http://nces.ed.gov/nationsreportcard/itmrls/portal.asp?questionl...
Resource Type: Assessments
Discipline: Mathematics
Grades: Grades 8–12
Professional Commentary: Students are asked to find a specified angle in a regular hexagonal pyramid using trigonometry. They have the option of using a calculator....
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NAEP Assessment Item, Grade 12: Express Trigonometric Function
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ORC# 2042
Resource Information
Resource URL: http://nces.ed.gov/nationsreportcard/itmrls/portal.asp?questionl...
Resource Type: Assessments
Discipline: Mathematics
Grades: Grades 7–10
Professional Commentary: Students must find the cosine of an acute angle of a right triangle, given the lengths of the legs of the triangle. This multiple-choice question is a sample test item used in grade 12 in the 1992 National Assessment of Educational Progress (see About NAEP)....
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NAEP Assessment Item, Grade 12: Find the Length of the Side of a Triangle
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ORC# 2088
Resource Information
Resource URL: http://nces.ed.gov/nationsreportcard/itmrls/portal.asp?questionl...
Resource Type: Assessments
Discipline: Mathematics
Grades: Grades 8–12
Professional Commentary: Students must use the sine function to find the length of a side of a right triangle. They have the option of using a calculator....
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ODE Assessment Item, Grade 10: Use Trigonometry to Find Height of Tree
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ORC# 5401
Resource Information
Resource URL: http://ims.ode.state.oh.us/ODE/IMS/Assessment/Content/CMA_AI_200...
Resource Type: Assessments
Discipline: Mathematics
Grades: Grade 10
Professional Commentary: Students are asked to find the height of a tree using trigonometry. This multiple-choice question is a sample item used in the 2005 Ohio Graduation Test (see Overview of Ohio's Assessment System)....
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Law of Sines and Law of Cosines 2: Law of Cosines
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ORC# 7725
Resource Information
Resource URL: http://illuminations.nctm.org/LessonDetail.aspx?ID=L704
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Students use right triangle trigonometry and the Pythagorean theorem to develop the law of cosines. An activity sheet, discussion questions, lesson extensions, and suggestions for assessment are included....
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Law of Sines and Law of Cosines 1: Law of Sines
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ORC# 7726
Resource Information
Resource URL: http://illuminations.nctm.org/LessonDetail.aspx?id=L703
Resource Type: Lessons
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Students use right triangle trigonometry to develop the law of sines. An activity sheet, discussion questions, lesson extensions, and suggestions for assessment are included....
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Sine Law by Discovery: Direct Variation and Triangles
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ORC# 10176
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=42
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 10–12
Professional Commentary: Through guided discovery, students revisit the notion of two quantities x, y being directly proportional if they are related by a constant ratio y/x = k. This concept is reviewed through applications that confirm that a graph of directly varying quantities satisfies the form y = kx....
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