S1+Freeman,+Zackary

=Stage 1 - Identify Desired Results= 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. ||
 * **Establish Goals (MLR):** **(G)** ||
 * Maine Learning Results: Mathematics- C Geometry

//What understandings are desired?//
•angles can be converted from degrees to radians and radians to degrees. •sin, cos, tan are related to triangles. ||
 * **//Students will understand that://** **(U)** ||
 * •you are able to use the unit circle to find ratios.

//What essential questions will be considered?//
•How do you convert back and forth between radians and degrees? •Why are sin, cos, and tan related to a triangle? ||
 * **Essential Questions:** **(Q)** ||
 * •How do you use the unit circle to find ratios?

//What key knowledge and skills will students acquire as a result of this unit?//
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 || • 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 ||
 * **//Students will know://** **(K)** || **//Students will be able to://** **(S)** ||
 * •Vocabulary: Unit Circle, sin, cos, tan


 * 2004 ASCD and Grant Wiggins and Jay McTighe.**