S1+Stevens+Newcomb

=Stage 1 Identify Desired Results= Geometric Figures Grades 9-Diploma 3. Students understand and use basic ideas of trigonometry. b.Use Trigonometric functions to solve for missing lengths in right triangles. ||
 * **Establish Goals:** **(G)** ||
 * //Maine Learning Results//: Mathematics D. Algebra

//What understandings are desired?//
• Trigonometry solves missing lengths in right triangles by using trigonometric ratios and functions. • Inverse trigonometric functions are used to solve for missing angles and lengths of triangles. ||
 * //Students will understand that:// **(U)** ||
 * • The values of trigonometric functions are used mainly to solve problems in right triangles.

//What essential questions will be considered?//
• How can trigonometric functions solve for missing lengths in right triangles? • How are inverse trigonometric functions used in right triangles and possibly in algebra? ||
 * **Essential Questions:** **(Q)** ||
 * • Why is the unit circle useful for finding values of ratios of trigonometric functions?

//What key knowledge and skills will students acquire as a result of this unit?//
cosecant, and secant. •Vocabulary: degrees, radians, unit circle, reciprocal, adjacent, opposite, hypotenuse. •Critical details: values of trigonometric ratios at certain angles, values of trigonometric ratios || • explain and find the value of trigonometric ratios for angles in right triangles. • interpret the missing angles or lengths of right triangles using trigonometry. • b. use trigonometric functions to solve for missing lengths in right triangles. • compare angles and right triangles using trigonometric functions. • consider the real world uses of trigonometry. • Be aware of which trigonometric functions to use in a given situation. ||
 * //Students will know:// **(K)** || //Students will be able to:// **(S)** ||
 * •Formulas: sin, cosin, tangent, cotangent,

//**2004 ASCD and** **Grant Wiggins and JayMcTighe**//