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Name: John Toney Date: 4-27-15 Content Area: Mathematics WOODLAND HILLS SECONDARY LESSON PLANS Length of Lesson: 30 days STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Big Ideas: Understanding Goals (Concepts): Analytic Trigonometry M11.A.1.1 Represent and/or use numbers in equivalent forms M11.A.2.2 Use exponenets, roots and/or absolute value to solve problems M11.B.2.1 Use and/or compare measurements of angles M11.C.1.4 Solve problems involving right triangles using the Pytahgorean Theorem. M11.D.2.2 Simplify expressions involving polynomials Analytic Trigonometry Essential Questions: How do you decide which functional representation to choose when modeling a real world situation, and how would you explain your solution to the problem? Vocabulary: *Fundamental Trigonometric Identities, Reciprocal Identities, Quotient Identities, Pythagorean Identities, Cofunction Identities, Eve/Odd Identities *Sum and Difference Forumulas *Multiple-Angle Formulas, Double-Angle Formulas, Poewr-Reducing Forumlas, Triple Angle Formulas, Half-Angle Formulas, Product-to-Sum Forumlas, Sum-to-Product Formulas Student Objectives (Competencies/Outcomes): Students will be able to: Represent functions (linear and non-linear) in multiple ways, including tables, algebraic rules, graphs, and contextual situations and make connections among these representations. Choose the appropriate functional representation to model a real world situation and solve problems relating to that situation. Students will understand: 1. How to apply trigonometric identities to simplify expressions 2. How to verify trigonometric identities algebraically 3. How to solve trigonometric equations 4. How to apply sum and difference fomulas for sine and cosine functions 5. How to apply double-angle and half angle formulas STAGE II – ASSESSMENT EVIDENCE Performance Task: Formative Assessments: Students will demonstrate adequate understanding via a chapter test. Pre-assessments, open-ended questions, Think-Pair-Share Materials and Resources: Textbook, notes STAGE III – LEARNING PLAN Interventions: Flexible grouping, students will be encouraged to attend Trig Lab Assignments Procedures Instructional Procedures*: Monday Date: 4/27 Day: A “Do Now” – “Mini Lesson” – Using Fundamental Identities and Verifying Trigonometric Identities Students will work on a review for the Section 5.1 & 5.2 Test. Continue studying for the 5.1-5.2 Test Tuesday 4/28 Day: B “Do Now” – “Mini Lesson” – Using Fundamental Identities and Verifying Trigonometric Identities Students will complete an assessment on simplifying and verifying trigonometric identities. Wednesday 4/29 Day: A “Do Now” – Verify a trigonometric identity. “Mini Lesson” – Solving Trigonometric Functions Students will discover how to solve trigonometric equations, using standard algebraic techniques such as combining like terms. Thursday 4/30 Day: B “Do Now” – Solve a trigonometric identity by combining like terms. “Mini Lesson” – Solving Trigonometric Functions Students will continue to solve trig equations by extracting square roots and factoring. No homework Textbook: Page481 #5, 9, 11-13, 20 Textbook: Page481 #15, 16, 19, 26, 25, 27, 29, 30 *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections Friday 5/1 Day: A “Do Now” – Solve a trigonometric identity by factoring. “Mini Lesson” – Solving Trigonometric Functions Students will continue to solve trig equations of the quadratic type by factoring, rewriting with a single trig function, and square and converting to a quadratic function. Textbook: Page481 #23, 29, 38, 21, 28, 31, 33, 37, 40