S+Freeman,+Zackary

**E-mail:** zackfreeman@hotmail.com
 * Teacher:** Mr. Zackary S. Freeman
 * Office:** Freeman's Lounge
 * Office Phone:** 207-555-5555
 * Office Hours:**

=Summary of Unit= This unit is discussing the ability to use the basic unit circle to be able to derive the sin, cos and tan at different ratios. Students will then learn there is a difference between radians and degrees. Students will learn how it is posssible to convert back and forth between each of these. In this section there will be a focus looking at the graphs of tan, sin and cos and how they compare and differ from one another. Later in this unit students will be able to see what the meaning of sin, cos and tan are related to each right triangles. There will be a quick lesson on how to use arcsin, arctan, and arccos and show how they are used. After all of this students should be able to comprehend and understand the basics of trignometry.

=Establish Goals= Maine Learning Results: Mathematics- C Geometry Geometric Figures Grades 9- Diploma 3. Students understand and use basic ideas of trigonometry a. Identify and find the values of trigonometric ratios and for angles in right triangles.

= = =Students will understand that= •you are able to use the unit circle to find ratios. •angles can be converted from degrees to radians and radians to degrees. •sin, cos, tan are related to triangles.

= = =Essential Questions= •How do you use the unit circle to find ratios? •How do you convert back and forth between radians and degrees? •Why are sin, cos, and tan related to a triangle?

= = =Students will know= •Vocabulary: Unit Circle, sin, cos, tan radian, degree, pi, theta, adjacent, hypotenuse, opposite, triangle •Formulas: sin = adj/hyp; cos= opp/hyp; tan= opp/hyp; A^2+B^2=C^2; radian=pi/180*degree; degree=180/pi*radian •Critical Details: Graphs, differences of sin and cos, SAHCOHTOA, Unit Circle measurements

= = =Students will be able to= • a. Derive and find the value of trigonometric ratios in a right triangle • Make meaning of all the different parts of the unit circle • Solve for a ratio using the unit circle • Compare and Contrast sin, cos, and tan • Consider where responsible to use degrees vs. radians • Realize that radians and degrees are interchangeable

**Performance Task Overview** You have just found this ad on a S.B Mason's website. Apparently the company has just heard that it's rival has a new technique to build homes. The rival company believes that it is all based on the angle of the roof. S.B Mason has decided to hire a sub contractor to solve whether this is true of not. Unfortunatly, this means you must go out in town and find the angles of many roofs. The company is not just looking for the right or wrong answer though, they are looking to hire this person on full time for $75,000 a year starting, the person must be able to present themselves professionally. The person must put together a multimedia production displaying the positive, negative or no correlation between the value of a house and the angle of its roof.

=Expectations= that it is their work is a copyright infringment and is against the law. If any plagarism is caught in this class the student will receive a zero on the assignment and a maximum grade of a C in the class during that quarter. Students must also recreate the project to receive at least a C on the project, this work will not be counted against, or towards the student, failure to do this will cause the student to fail the class.
 * Plagarism**- Students and adults alike must realize that to take somone elses work without acknowledging

these notes may be printed out but the student must also come see the teacher for a review of what all of the notes mean. A student who does not come see the teacher will receive a penalty of 5 points towards their final grade. A student/teacher meeting will not last more than five minutes it is very much in your favor to attend.
 * Attendance**- All students are expect to attend every class. Notes from each class will be posted online,

are not complete on time will receive a penalty of 1 point towards their final gade. Students will be given an extension of two days if asked more than a day prior to the assignment being due. All excused absences will be given the equal amount of time to your absences towards the new due date. **//ALL MAJOR ASSIGNMENTS ARE DUE ON THAT DATE, EXCUSED ABSENSE OR NOT PLENTY OF TIME WILL BE GIVEN FOR THESE ASSIGNMENTS.//**
 * Assignments**- All assignments must be completed on time and to the highest quality. All assignments that

mind. All students will be given adequate amount of time to complete assignments, students should not expect the teacher to extend their deadline. Students must give full and undivided attention to the talker, whomever it may be. All technology must be put away and on silent, not vibrate, unless otherwise told by the teacher they may use it. MP3 players may be used when class is working on worksheets, but must be low enough that no one else may hear it.
 * Respect-** All students must respect the fact that they are not the only ones in the world with a thinking

=Benchmarks: 500 Points= Students must complete every days assignments, on time and correct. Most days a warm-up's will be given completion of all warm-ups will result in 20 points given. Another 20 points will be given for an organized and up to date notebook. Students will be awarded 20 more points for keeping up with all wiki's and blogs. Students must keep up to date on all out of class exercises, 20 points will be awarded if all out of class exercises are completely up to date. The last 20 points will be awarded to particpation in class discussions, one check is 1 points, you need at least 20 checks.
 * Daily Exercises**: 100 Points

The students will be able to use google earth to find the angle between cities. The first 30 points will be given for comnpletion, the second 20 points will be given for how correct the work is. This exercise will follow the lesson discussing the trigonometric ratios.
 * Google Earth**: 50 Points

They will be able to define the graphs of songs as cos, sin or tan. To obtain the full amount of points in this section a student must have all graphs in their notebook marked correctly. The graphs must be correct, and if not correct the first time they need to be corrected with a blue or black pen. 30 points will be given for all graphs marked correctly. The other 20 points will be given to graphs that have been corrected in blue or black pen, please note if they are not corrected because they were right.
 * Graphs**: 50 Points

You as the student should be able to manipulate the program (mathematica) to do what you wish to do. There will be a worksheet that must be completed. If completely correct all 25 points will be given, points will be deducted for incorrect answers on this worksheet.
 * Mathematica**: 25 Points

You as the student should be able to manipulate the program (graphing calculator) to do what you wish to do. There will be a worksheet that must be completed. If completely correct all 25 points will be given, points will be deducted for incorrect answers on this worksheet.
 * Graphing Calculators**: 25 Points

You as the student should be able to manipulate the program (geolgabra) to do what you wish to do. There will be a worksheet that must be completed. If completely correct all 25 points will be given, points will be deducted for incorrect answers on this worksheet.
 * Geolgabra**: 25 Points

You as the student must make sure you wiki page and the class wiki page is up to date on all of the information that is asked of you, a list will be kept online of what you must have on your wikipspace page. All assignments must be complete, one missing assignment means a zero on this section.
 * Wiki**: 25 Points

See the above statement.
 * Performance Task**: 200 Points

=Grading Scale= **A** (93 -100), **A-** (90 - 92), **B+** (87 - 89), **B** (83 - 86), **B-** (80 - 82), **C+**(77 - 79), **C** (73-76),
 * C-** (70 - 72), **D+**(67 - 69), **D** (63 - 66), **D-** (60 - 62), **F** (0 - 59).