Name: John Toney Date: 2-16-15 Content Area: Mathematics WOODLAND HILLS SECONDARY LESSON PLANS Length of Lesson: 30 days STAGE I – DESIRED RESULTS Lesson Topic (Modules, if applicable): Big Ideas: Trigonometry M11.A.1.1 Use coordinates and algebraic techniques to interpret, represent, and verify geometric relationships. Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, exponents and scientific notation). M11.A.2.1 Apply ratio and/or proportion in problem-solving situations. M11.A.2.2 Use exponents, roots and/or absolute value to solve problems. M11.B.2.1 Use and/or compare measurements of angles. M11.C.1.2 Recognize and/or apply properties of angles, triangles and quadrilaterals. Use properties of congruence, correspondence and similarity in problem-solving settings involving twoand three- dimensional figures M11.C.1.3 Student Objectives (Competencies/Outcomes): Students will be able to: Understanding Goals (Concepts): M11.C.1.4 Solve problems involving right triangles using the Pythagorean Theorem. M11.D.1.1 Analyze and/or use patterns or relations. Geometric representations and analytic geometry Students will understand: 1. 2. 3. 4. Sketching and finding coterminal angles Finding complementary and supplementary angles Converting from degrees to radians and vice versa Finding arc length and area of a sector using radian measure 5. Using the unit circle to evaluate the 6 trig functions and their inverses. 6. Using the period to evaluate the sine and cosine 7. Defining odd and even functions and relating them to trig functions using the unit circle. 8. Defining and finding the six trig functions using right triangle trig 9. Determining the reference angle of a given angle and the sinage of the trig function at that angle 10. Determining the exact value of the 6 trig functions for special angles 11. Evaluating trig functions using a calculator for any angle 12. Applying trig functions to solve application problems involving right triangles.. Essential Questions: Vocabulary: How can you use coordinates and algebraic techniques to represent, interpret, and verify geometric relationships? *Terminal side, standard position, positive & negative angles, coterminal, radian, central angle, complementary, supplementary, sector *Unit circle, cosecant, secant, cotangent, trigonometric functions, domain and period/periodic, even and odd trigonometric functions *Trigonometric identities, Pythagorean Identities, Reciprocal Identities, Quotient Identities *Reference angle 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 STAGE III – LEARNING PLAN Interventions: Flexible grouping, students will be encouraged to attend Trig Lab Materials and Resources: Textbook, notes Procedures Instructional Procedures*: Monday Date: 2/16 Day: No School – President’s Day Assignments Tuesday 2/17 Day: B “Do Now” – Using the period, evaluate the Sine and Cosine of particular angle measures. “Mini Lesson” – Right Angle Trigonometry Students will evaluate trigonometric functions, particularly of 45-45-90 and 30-60-90 triangles. Textbook – Page 387 #1-21 odd, 33, 35 Wednesday 2/18 Day: A “Do Now” – Evaluate the six trig functions of a 4545-90 triangle. “Mini Lesson” – Right Angle Trigonometry Students will explore sines, cosines, and tangents of special angles, begin discovering trigonometric identities, and apply those trig identities to solve problems. Textbook – Page 387 #23-31 odd, 37, 39, 43, 45 Thursday 2/19 Day: B “Do Now” – Use trig identities to find missing triangle parts. “Mini Lesson” – Right Angle Trigonometry Students will solve application problems involving right triangles. Friday 2/20 Day: A “Do Now” – Solve an application problem involving a right triangle. “Mini Lesson” – Trigonometric Functions of Any Angle Students will begin to define trigonometric functions of any angle, and evaluate trig functions of given angles. Textbook – Page 387 #47-71 odd Textbook – Page 399 #1-7 odd *Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections