April 27, 2009

Member Rating

Curriki Rating**'NR'** - This resource has not been rated NR**'NR'** - This resource has not been rated

The resource has been added to your collection

This lesson will focus on the real life applications of trigonometry. The students explore the principles and applications of trig via the Internet, and then create a presentation of their findings to the class. The students may work individually or in groups.

- Mathematics > General
- Mathematics > Applied Mathematics
- Mathematics > Trigonometry

- Grade 9
- Grade 10
- Grade 11
- Grade 12

Curriki Rating**'NR'** - This resource has not been rated NR **'NR'** - This resource has not been rated

This resource has not yet been reviewed.

Not Rated Yet.

This lesson was created using the Nortel LearniT 6E + S template for integrating technology within the curriculum.

**Overview:**

This lesson will focus on the real life applications of trigonometry. The students explore the principles and applications of trig via the Internet, and then create a presentation of their findings to the class. The students may work individually or in groups.

**Technology Integration:**

Discovering the Internet, PowerPoint Presentations

**Prerequisite Experience:**

The students should be able to conduct online research and use a word processor. Prior experience with PowerPoint or other presentation software would be helpful.

**Teacher Prep Time:**

About 1 hour.

Review the web resources on trigonometry and its applications in the Explore section. Review the PowerPoint tutorials:

Nortel LearniT: Technology: PowerPoint Presentations
http://www.nortellearnit.org/LearniT/technology/PowerPoint_Presentations/

**Estimated Time for Completion:**

Five to six weeks (one class period each week)

**Materials:**

Internet-ready computer with PowerPoint software installed.

**Project:**

The learners will use the web to conduct their research on the principles of trigonometry and how these mathematical facts are used in various “real world” applications. The students will choose one practical application of trig and explain it to the class via a PowerPoint presentation.

**Time Management Tips:**

Prescreen the online resources listed in the Explore section, and limit the students’ choice of trigonometry application to two or three categories. This will reduce the time needed for exploration and decision making, and focus more time on the actual application and how to present it to the class.

Have students work in teams to conduct research and create slides to combine into the final presentation.

To help with limited computer access during class time, supplement online resources with books from the school library, drawings from local business, or resources from a local technical college or university.

**Assessment:**

An assessment rubric has been attached as a Word document.

**Engage:**

Suppose you were asked to estimate the cost of materials needed to build a new bridge over the river running through your town. Of course you would need to know the length of the span (along with many other details). How could you measure the distance across the river while standing on one of the banks?

On a sunny day, what method could you use to determine the height of the flag pole in front of your school (while standing on the ground)?

While learning about the solar system, have you ever wondered how the distances between the planets were discovered?

Each of these distances can be determined based on the special mathematical properties of right triangles. Can you think of other distances that are difficult to measure directly? Can you imagine how you could use indirect measurement methods in these situations?

**Explore:**

The essential questions: What are the special mathematical relationships among the sides and angles of right triangles? What are some of the various ways these relationships can be used?

First, use the web resources listed below to find the definitions of these mathematical terms:

Right Triangle

Trigonometry

Ratio

Sine

Cosine

Tangent

**Here’s a sampling of basic trigonometry web resources:**

Oswego County City School District Regents Exam Prep Center: Right Triangle Trigonometry: Solving for a Side

http://regentsprep.org/Regents/math/rtritrig/Ltrig.htm

The Math Forum @ Drexel: Ask Dr. Math: Basics of Trigonometry

http://mathforum.org/library/drmath/view/53925.html

The Math Forum @ Drexel: Ask Dr. Math: High School Archive: Browse High School Trigonometry

http://mathforum.org/library/drmath/sets/high_trigonometry.html

Education in Physics and Mathematics: Zona Land: Introduction to Trigonometry: Trigonometry and Right Angles

http://id.mind.net/~zona/mmts/trigonometryRealms/introduction/rightTriangle/trigRightTriangle.html

Interactive Trigonometry

http://www.ies.co.jp/math/java/trig/index.html

Explore applications of trigonometry using these websites (and/or others you find on your own):

Wikipedia: Uses of Trigonometry

http://en.wikipedia.org/wiki/Uses_of_trigonometry

Penn State University: College of Engineering: Surveying

http://surveying.wb.psu.edu/psu-surv/SURIs/Mathematics.htm

ESPN: Sportsfigures: The Trig to Soccer

http://www.sportsfigures.espn.com/sportsfigures/lp_trig_soccer.jsp

NASA: Virtual Skies: Aeronautics: You Decide

http://virtualskies.arc.nasa.gov/aeronautics/youDecide/kiteMeasure2Trig.html

Worsley School: Science & Math: Trigonometry: Calculating Heights

http://www.worsleyschool.net/science/files/trigapp/page.html

New Zealand Maths: Geometry: Trigonometric Applications Outside the Classroom

http://www.nzmaths.co.nz/Geometry/Shape/practicalapplications.aspx

SUNY: Stonybrook: Physics 125: Measurements Using Trigonometry and Vectors

http://felix.physics.sunysb.edu/~abanov/Teaching/Spring2006/Labs/125-01.pdf

**Explain:**

Follow these 8 steps to build your presentation on trigonometry and its applications:**1)** Use the online resources to solidify your understanding of trigonometric facts.**2)** Explore the various ways that trigonometric principles are applied in the real world via the Internet. **3)** Choose one type of application that interests you. Find out more about how trigonometry is used in that application.**4)** Lay out a presentation flow of how you will explain the basics of trig and your chosen application to the class. **5)** Use PowerPoint (or other presentation software) to build your presentation. Be sure to include definitions of the terms used in trigonometry.**6)** Add animation, sound, or other effects to emphasize important points and to make your presentation more interesting.**7)** Present your findings to the class. **8)** Submit hard or soft copy of your project materials as specified by your teacher.

**Elaborate:**

Here are 4 important tips to help you pull the project together:**1.** Begin by using a PowerPoint Story Board to creatively organize your slides.

Resources and Best Practices: Project Handouts and Templates: PowerPoint Presentations Storyboard

http://www.nortellearnit.org/

http://www.nortellearnit.org/

http://www.nortellearnit.org/

Resources and Best Practices: Teacher Resources: Reference Links: Educator Recommended Web Sites

http://www.nortellearnit.org/

**Evaluate:**

An evaluation rubric has been attached as a Word document.

**Extend:**

The students can extend their presentation with an in-class demonstration of how their chosen trig application works.

The class can participate in a hands-on activity that uses trigonometric principles. Students can design the activity and lead their classmates through the exercise.

Invite a local professional (civil engineer, builder, architect, etc.) to tell the class about how trigonometry is used in his/her field. Provide opportunities for students to ask questions. Ask the professional to present a problem that could be solved based on the rules of trigonometry and allow the students to discuss how to approach the solution.

Have the students investigate the connection between more advanced trigonometry and their own area of interest such as music, sailing, automobiles, art, computer gaming, cell phones, sports, etc.

**Required Attachments:**

triangle.gif skylinesmall.jpg Nortel-BUILDINGONRIGHTTRIANGLES-rubric.doc

Or

Our Terms of Service and Privacy Policies have changed. By logging in, you agree to our updated Terms and Policies.

Are you sure you want to logout?

Or