###### Secondary Mathematics II [2011]
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Define trigonometric ratios and solve problems involving right triangles.
G.SRT.8
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

• A Geometric Proof of the Pythagorean Theorem
This colorful PowerPoint presentation is designed to take students step-by-step through a proof of the Pythagorean Theorem.
• Access Ramp - Student Task
This task has students design an access ramp, which complies with the Americans with Disabilities Act (ADA) requirements and include pricing based on local costs.
• Applications of the Pythagorean Theorem
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
• Applications of the Pythagorean Theorem video
This video introduces and explains the topic.
• Applying Radical Equations
This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review.
• Applying Radical Equations video
This video introduces and explains the topic.
• Close Enough?
This hands-on activity shows how accurate measurement is important and will help students use right triangle trigonometry and angle measurements to calculate distances.
• Miniature Golf - student task
This task requires students to redesign a miniature golf course to make it more challenging.
• Pythagorean Explorer
This applet challenges the student to find the length of the third side of a triangle when given the two sides and the right angle.
• Similarity, Right Triangle Trigonometry and Proof G.SRT.6, G.SRT.7 and G.SRT.8 Curriculum Guide
The Utah State Office of Education (USOE) and educators around the state of Utah developed these guides for the Secondary Mathematics II Cluster "Define Trigonometric Ratios and Solve Problems Involving Right Triangles" / Standards G.SRT.6, G.SRT.7 and G.SRT.8
• Squaring the Triangle
Students can manipulate the sides of a triangle in this applet in order to better understand the Pythagorean Theorem.
• Stay in Shape
This lesson helps students understand how triangles and the Pythagorean Theorem are used in measuring distance.
• Trig River
In this lesson students work in teams to calculate the width of a river by using angle measurement.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Office of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Office of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.

For more information about this core curriculum, contact the USOE Specialist, DIANA SUDDRETH or visit the Mathematics - Secondary Home Page. For general questions about Utah's Core Curriculum, contact the USOE Curriculum Director, Sydnee Dickson . UEN Contact Info: 801-581-2999 | 800-866-5852 | Contact Us