Right Triangle Trigonometry

The Right Triangle Trigonometry module introduces students to three trigonometric ratios and the Fundamental Identity of Trigonometry. Students investigate historical uses and experience in working with real-world scenarios. Lesson 1 Angles and Their Triangle Ratios Students learn the definitions of various kinds of angles and the definitions of three trigonometric ratios. Students use measurement to compute values of trigonometric fratios. Lesson 2 Solving Right Triangles Students extend the definitions of trigonometric ratios to right triangles. Using this extension, students determine the values of missing measurements for given right triangles. Nitty Gritty: The Pythagorean Theorem. Lesson 3 The Unit Circle Students extend the definitions of trigonometric ratios to central angles of a unit circle. Values for trigonometric ratios of special angles are computed. Lesson 4 Applications and Extensions Students investigate the behavior of the trigonometric ratios and relate the Pythagorean Theorem and the Fundamental Identity of Trigonometry. Lesson 5 Self-Test and Project Planning Students develop a proposal for their final project and review the concepts and definition from the first four lessons. Lesson 6 Trigonometry in Construction Students analyze roof construction and handicapped access ramps using trigonometry. The homework offers other realistic scenarios to investigate. Lesson 7 A Laboratory of Indirect Measure Students enjoy the outdoors activity of measuring the height of a flagpole. Additionally, they do some elementary surveying. Lesson 8 Applications in Astronomy and Earth Science Students recreate some ancient procedures used to measure distant objects. Lesson 9 Module Summary Students complete a wrap-up of the entire module along with a brief review of other student's project presentations. Compare this module to traditional course topics in the Matrix of Course Competencies. If one of the lessons has a link, you can preview that lesson. Other modules: Beat Ratios Functions Exp. Growth Data & Graphs Representing Data Finance Geometry Sampling Non-linear Behavior Linear Behavior Sets and Logic Patterns Probability Systems Right Tri. Trig.