trigonometric functions? Select from the following tasks Use Discovering the Pythagorean Identities p. 7 The Sum and Difference Identities p. 11 Objective(s): Riding the Ferris Wheel p. 14 Students will: Where’s the Identity? p. 16 Use fundamental identities to help Establishing Identities p. 24 understand and recognize identity “families” Verify other identities using the fundamental identities and basic algebra skills Use fundamental identities to express a given trig function in terms of the other five Use counterexamples and contradictions to show an equation is not an identity Domain: Trigonometric Identities Enduring Understanding(s) 6.3 The Sum and Difference Identities Vocabulary (Coburn) Cluster: Apply trigonometric identities to Difference identity for cosine, sum identity for Understand the relationship between right rewrite expressions and solve equations. 6.2 Sum and Difference Identities (Blitzer) cosine triangle trigonometry and unit circle trigonometry G-TI.1 Apply trigonometric identities to verify identities and solve equations. Identities Use the unit circle to define trigonometric Additional Resource(s) Writing in Math include: Pythagorean, quotient, functions. Algebra & Trigonometry (Coburn), 2nd Edition Use words to describe the formula for: sum/difference, double-angle, and half-angle. There are many instances of periodic (Exercise Videos, Lecture Videos, The cosine of the difference of data in the world around us and Graphing Calculator Videos, two angles trigonometric functions can be used to PowerPoint Presentations) The cosine of the sum of two model real world data that is periodic in angles nature. The sine of the sum of two The inverses of sine, cosine and tangent angles functions are not functions unless the Task(s) domains are limited. The sine of the difference of two Accelerated Math III: Unit 6 Trigonometric angles Identities, Equations, and Applications, The tangent of the sum of two Essential Question(s) The Sum and Difference Identities p. 11
trigonometric functions? Objective(s): Students will: Use fundamental identities to help understand and recognize identity “families” Verify other identities using the fundamental identities and basic algebra skills Use fundamental identities to express a given trig function in terms of the other five Use counterexamples and contradictions to show an equation is not an identity Select from the following tasks Use Discovering the Pythagorean Identities p. 7 The Sum and Difference Identities p. 11 Riding the Ferris Wheel p. 14 Where’s the Identity? p. 16 Establishing Identities p. 24 Domain: Trigonometric Identities Cluster: Apply trigonometric identities to rewrite expressions and solve equations. G-TI.1 Apply trigonometric identities to verify identities and solve equations. Identities include: Pythagorean, quotient, sum/difference, double-angle, and half-angle. Enduring Understanding(s) Understand the relationship between right triangle trigonometry and unit circle trigonometry Use the unit circle to define trigonometric functions. There are many instances of periodic data in the world around us and trigonometric functions can be used to model real world data that is periodic in nature. The inverses of sine, cosine and tangent functions are not functions unless the domains are limited. Essential Question(s) 6.3 The Sum and Difference Identities (Coburn) 6.2 Sum and Difference Identities (Blitzer) Additional Resource(s) Algebra & Trigonometry (Coburn), 2nd Edition (Exercise Videos, Lecture Videos, Graphing Calculator Videos, PowerPoint Presentations) Task(s) Accelerated Math III: Unit 6 Trigonometric Identities, Equations, and Applications, The Sum and Difference Identities p. 11 Vocabulary Difference identity for cosine, sum identity for cosine Writing in Math Use words to describe the formula for: The cosine of the difference of two angles The cosine of the sum of two angles The sine of the sum of two angles The sine of the difference of two angles The tangent of the sum of two