UnWrapping the Learning Task Generate the graphs of the sine 1-8 Unit Circle Individual/Partner and cosine functions Identify the characteristics of the sine and cosine functions Exploring Sine and Learning Task The concepts of amplitude, 1-8 Cosine Graphs Partner/Small group midline, period, and frequency are identified and defined . The domain, range, intercepts, maximum and minimum values of sinusoidal graphs are determined. A Better Mouse Trap Discovery/Learning Explores transformations of 1-8 (Spotlight Task) Task sinusoidal functions in terms of Partner/Small group real-world phenomena. Ferris Wheel Formative Application of Sine and Cosine 4, 7 (FAL) Assessment Lesson Graphs to Real-World Individual/Small Phenomena with group Transformations As the Wheel Turns Individual/Small Application and Extension on 1-8 group Sine and Cosine Graphs Transforming Learning Task the 1-8 The effects of and on a, b, c, d Sinusoidal Graphs Partner/Small group graphs of and y = a sin[b(x - c)] + d are y = a cos[b(x - c)] + d determined. Modeling with Learning Task Write an equation to represent 1-8 Sinusoidal Functions Partner/Small group a real-world situation. Discovering a Individual Learning Discover the Pythagorean 1-8 Pythagorean Identity Task Identity Graphing Other Culminating Task Graph the tangent, cosecant, 1-8 Trigonometric Partner/Small group secant, and cotangent functions Functions using their definitions and relationship to the sine and cosine graphs. An end of unit balanced assessment with some constructed response, multiple choice, and technology modeling activities should be administered to thoroughly assess mastery of the standards in this unit. Clock Problem Mathematical Goals
UnWrapping the Unit Circle Learning Task Individual/Partner Generate the graphs of the sine and cosine functions Identify the characteristics of the sine and cosine functions 1-8 Exploring Sine and Cosine Graphs Learning Task Partner/Small group The concepts of amplitude, midline, period, and frequency are identified and defined . The domain, range, intercepts, maximum and minimum values of sinusoidal graphs are determined. 1-8 A Better Mouse Trap (Spotlight Task) Discovery/Learning Task Partner/Small group Explores transformations of sinusoidal functions in terms of real-world phenomena. 1-8 Ferris Wheel (FAL) Formative Assessment Lesson Individual/Small group Application of Sine and Cosine Graphs to Real-World Phenomena with Transformations 4, 7 As the Wheel Turns Individual/Small group Application and Extension on Sine and Cosine Graphs 1-8 Transforming Sinusoidal Graphs Learning Task Partner/Small group The effects of a, b, c, and d on the graphs of y = a sin[b(x - c)] + d and y = a cos[b(x - c)] + d are determined. 1-8 Modeling with Sinusoidal Functions Learning Task Partner/Small group Write an equation to represent a real-world situation. 1-8 Discovering a Pythagorean Identity Individual Learning Task Discover the Pythagorean Identity 1-8 Graphing Other Trigonometric Functions Culminating Task Partner/Small group Graph the tangent, cosecant, secant, and cotangent functions using their definitions and relationship to the sine and cosine graphs. 1-8 An end of unit balanced assessment with some constructed response, multiple choice, and technology modeling activities should be administered to thoroughly assess mastery of the standards in this unit. Clock Problem Mathematical Goals