Standard 2 : Trigonometry in Triangles (Archived)



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Understand how the trigonometric functions relate to right triangles, and solve word problems involving right and oblique triangles. Understand and apply the laws of sines and cosines. Use trigonometry to find the area of triangles.

General Information

Number: MA.912.T.2
Title: Trigonometry in Triangles
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Trigonometry

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.912.T.2.1: Define and use the trigonometric ratios (sine, cosine, tangent, cotangent, secant, cosecant) in terms of angles of right triangles.
MA.912.T.2.2: Solve real-world problems involving right triangles using technology when appropriate.
MA.912.T.2.3: Apply the laws of sines and cosines to solve real-world problems using technology.
MA.912.T.2.4: Use the area of triangles given two sides and an angle or three sides to solve real-world problems.


Related Access Points

This cluster includes the following access points.

Independent

Access Point Number Access Point Title
MA.912.T.2.In.a: Compare the length of the straight sides in a right triangle with the length of the side opposite the right angle (hypotenuse) by measuring the sides.
MA.912.T.2.In.b: Identify and construct right triangles to solve real-world problems.

Supported

Access Point Number Access Point Title
MA.912.T.2.Su.a: Measure the sides of a right triangle to determine which side is the longest.
MA.912.T.2.Su.b: Use right triangles to solve real-world problems.

Participatory

Access Point Number Access Point Title
MA.912.T.2.Pa.a: Recognize a right triangle in objects, pictures, or signs in real-world situations.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Lesson Plan

Name Description
Calculating the Earth-Sun distance using Satellite Observations of a Venus Transit:

Every school child learns that the earth-sun distance is 93 million miles. Yet, determining this distance was a formidable challenge to the best scientists and mathematicians of the 18th and 19th centuries. The purpose of this lesson is to use the 2012 Transit of Venus as an opportunity to work through the mathematics to calculate the earth-sun distance. The only tools needed are basic knowledge of geometry, algebra, and trigonometry. The lesson is self-contained in that it includes all the data needed to work through the exercise.

Virtual Manipulative

Name Description
Right Triangle Calculator: "Free online calculator will calculate the side lengths and angles for any . Just input any valid combination of sides and/or angles, and let the calculator do the rest! This free tool also draws a downloadable image of your triangle." (from Math Worksheets Go!)