Due: Trigonometry Project Objective: To create and solve your own real-life trigonometry problems. You may create parts/all of your project digitally, but it must be turned in as a poster or booklet (i.e. organized hard copy). All projects must be ready to turn in when the bell rings on the due date. Materials: Clinometer Tape measure/ruler
Computer/Printer Camera/Smart Phone
Paper 4 large objects
Content: 4 Angle of Elevation and Depression Problems: 2 of the problems must be Angle of Elevation and 2 must be Depression 1 involving Sine 1 involving Cosine 1 involving Tangent 1involving solving for an angle Real life pictures must be taken/used Information on picture must be easy to see/read Grade Breakdown: 4 Angles of E and D Area of “My Space” Self Reflection Peer Review Total
100 points 100 points 20 points 30 points 250 points
Protractor 2-“My Space”
Area of “My Space” Problems: Finding the area of a polygon by breaking it into smaller triangles Must use Law of Sines Must use Law of Cosines Must use Area with Trig Formulas You will have to take some measurements, however, you cannot just take measurements needed for Area Trig Formulas.
**Group members will receive daily participation grades based on assigned task completion.**
Group Members:
Project Criteria:
Angle of Elevation and Depression Problems
Creative word problem that explains the scenario in the picture You must have 2 angle of elevation problems and 2 angle of depression problems. Set up and include a question that requires the solver to use indicated trig ratio or for a missing angle o Don’t say… “use sine to solve this problem” All important information (measurements and variable) overlay on the picture Generic triangle with just the important information All work necessary to solve the problem Answer to problem
Area of My Space Problems
Creative explanation of what/where “My Space” is in real world and why area needs to be calculated “My Space” divided into triangles Each triangle numbered for organization Find the Area of each triangle piece You must use Law of Sines, Law of Cosines, and Area Trig Formulas while calculating the individual areas You will need to take/label a few measurements on your own, but DO NOT measure every angle, and every side length Label any measurement you take on the picture This means you cannot just take the measurements needed for Area Formulas Show all of your work for each area calculation Highlight each formula type in a different color Once you have all individual areas, find the total area
Check List
Sine Word Problem Requires solver to use sine Overlay on picture Generic Triangle All work Answer
Cosine Word Problem Requires solver to use cosine Overlay on picture Generic Triangle All work Answer
Tangent Word Problem Requires solver to use tangent Overlay on picture Generic Triangle All work Answer
Angle Word Problem Requires solver to solve for an angle Overlay on picture Generic Triangle All work Answer
2-“Area of My Space” Space converted into triangles Used Law of Sines Used Law of Cosines Used Area Trig Formulas Highlighted each formula in different color
Group Names: ____________________________________________________________________________________________
Angles of Elevation and Depression Rubric
Completion
Presentation
Pictures
Excellent
Proficient
Marginal
Emerging
All requirements have been included
Over ½ but not all requirements have been included
Approximately ½ of all requirements have been included
Less than ½ of all requirements from checklist have been included
(10 pts.)
(8 pts.)
All pages are completely legible, neat, and organized
Most pages are legible, neat, and organized
(10 pts.)
(8 pts.)
(20 pts.)
No errors were made when setting up equations. (25 pts.)
Calculations
Some pages are legible, neat, and/or organized (6 pts.)
(4 pts.)
Pages are not legible, neat, and/or organized (4 pts.)
All real-life, overlay, and All real-life, overlay, and All real-life, overlay, and All real-life, overlay, and generic pictures are included generic pictures are included generic pictures are included generic pictures are included and all information is with no more than 1-2 with no more than 3-4 with more than 5 errors accurate errors errors (25 pts.)
Equation
(6 pts.)
(20 pts.)
All calculations are accurate. (30 pts.)
No more than 1-2 errors in setting up equations Only 1-2 errors in calculations. (25 pts.)
(15 pts.)
No more than 3-4 errors in setting up equations (15 pts.)
Only 3-4 errors in calculations. (20 pts.)
Angles of Elevation and Depression Grade:
(10 pts.)
5 or more errors in setting up equations (10 pts.)
5 or more errors in calculations. (15 pts.)
Group Names: ____________________________________________________________________________________________
Area of My Space Rubric
Completion
Presentation
Division of Work
Excellent
Proficient
Marginal
Emerging
All requirements have been included
Over ½ but not all requirements have been included
Approximately ½ of all requirements have been included
Less than ½ of all requirements from checklist have been included
(10 pts.)
(8 pts.)
All pages are completely legible, neat, and organized
Most pages are legible, neat, and organized
(10 pts.)
(8 pts.)
Work was evenly divided among partnership (25 pts.)
Equations
All 3 formula types were used (25 pts.)
Calculations
All calculations are accurate. (30 pts.)
(6 pts.)
Some pages are legible, neat, and/or organized
(15 pts.)
(10 pts.)
2 out of 3 formula types were used (15 pts.)
1 out of 3 formula types were used (10 pts.)
Only 1-2 errors in calculations.
(4 pts.)
Work was not evenly divided among partnership
Only 3-4 errors in calculations. (20 pts.)
Angles of E. and D. Grade:
Area of My Space Grade:
Pages are not legible, neat, and/or organized
(6 pts.)
Work was mostly evenly divided among partnership
(25 pts.)
(4 pts.)
One partner did all of the work (5 pts.)
Some calculations were made (5 pts.)
5 or more errors in calculations. (15 pts.)
Combined Grade:
