Trig Emergency Response Calculation and Coloring Project for Non-Right Triangles

PLEASE NOTE: THE PREVIEW VERSION OF THIS PRODUCT IS THE ACTUAL "STUDENT VERSION" AND DOES NOT INCLUDE ANY OF THE ANSWERS TO THE PROBLEMS. THE "TEACHER VERSION" INCLUDES DETAILED ANSWERS TO ALL OF THE PROBLEMS FOR THE PROJECT.

This project involves the use of the two (2) trigonometric laws or properties (Law of Sines and Law of Cosines) that are required to solve non-right triangle problems. The students are required to analyze eight (8) different non-right triangles and determine which law or combination of laws are needed to determine all missing side lengths and angles. The calculations for each triangle are completed and listed on a calculation work sheet that is provided.

In addition the side lengths and angle measures for each triangle are also listed in an overall summary table. The missing side length and angle measure data is also added to the Trig Emergency Response picture of diagram that is included as part of the project. Once all of the side length and angle measure data is added to the Trig Emergency Response picture, the diagram is to be neatly colored.

I have my Math 3 and PreCalculus students complete this project toward the end of the unit on trigonometry. It is an excellent way to review the 2 properties or laws that are needed to determine or solve for the missing side lengths and angles for non-right triangles. I try to have them complete this project prior to the unit testing/assessment on topic.

The table of contents for the project is as follows:

• Part A – Project Information and Guidelines
• Part B – General Vocabulary
• Part C – Summary of Basic Non-Right Triangle Trigonometric Concepts
• Part D – Trig Emergency Response Example Problem Types
• Part E – Trig Emergency Response Work Problems and Diagrams
• Appendix A – Trig Emergency Response Diagram
• Appendix B – Trig Emergency Response Calculation Work Sheets
• Appendix C - Trig Emergency Response Calculation Summary Table
• Appendix D – Grading Rubric
• Appendix E – Trig Emergency Response Scene Diagrams Colored Examples Nos. 1, 2 and 3

Part B includes the basic vocabulary encountered in the study of non-right triangle trigonometry.

Parts C and D include five (5) pages of review information on the basic trigonometry concepts and properties for non-right triangles.

Part E first requires the students to determine which of the five (5) non-right triangle conditions listed in Parts C and D apply to the specific triangle problem. Once that is determined, students have to decide whether the Law of Sines or Law of Cosines or both are to be used to find the missing triangle side length and angle measure information. It should be noted that each triangle is provided with a unique identification number so that the specific triangle calculation work sheet can be referenced to the Trig Emergency Response Calculation Summary Table and the Trig Emergency Response Diagram or Picture.

All of the calculation work required by the Appendix B – Trig Emergency Response Calculation Work Sheets is to be shown on the respective work sheets provided for each of the eight (8) non-right triangle work problems. Once the calculations are complete, the 3 triangle side lengths and angle measures are to be summarized on the Appendix C Trig Emergency Response Calculation Summary Table.

Once all of the calculations have been completed and the data added to the summary table, the triangle side lengths and angle measures are added to the Appendix A – Trig Emergency Response Diagram included with the project. The final activity involves the coloring of the Appendix A – Trig Emergency Response Diagram.

The project can be completed by students working individually or by students working in pairs or groups to complete the project in a more timely manner. The calculations can usually be completed during one, 1-1/2 hour class period especially if students are working with a partner or in a group. I usually assign the final coloring of the Trig Emergency Response Diagram as homework if it cannot be completed in class.

An example grading rubic for the project is included in Appendix D.

This project package includes both a Student Version and a Teacher Version (with complete Answer Key). Answers to each part of the project are provided in the Teacher Version. In addition 3 colored examples of the Trig Emergency Response Diagram are also included in Appendix E at the end of the project package in the Teacher Version only.

Between the Teacher and Student Versions, there are 53 total pages in the package. The native MS Word files are included for both versions in the event the teacher desires to make any modifications to the project to suit her or his classroom purposes.

Other MS PPT products for 6th Grade, 7th Grade, 8th Grade, Math 1, Math 2, Math 3, Algebra 1, Algebra 2, Geometry and PreCalculus curriculum topics can be reviewed and purchased under my TpT page titled: "Priceless Math".