Lafayette Parish School System Advanced Math Functions Curriculum Map Unit 1: Trigonometry of Triangles CC # Common Core Evidence / Assessments of learning Instructional Notes/Strategies Differentiation Student Understandings G.SRT.8 The Law of sines The Law of cosines Solving of a triangle Using the Law of cosines Applications using the Law of sines and cosines Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.★ Supplementary Angle Identity Area of a Triangle Using the Law of sines Heron’s Formula Define six trigonometric ratios of an acute angle in terms of a right angle Evaluate trig ratios using triangles/or calculators Solve triangles using trig ratios Solve applications using triangles 7.1 Right Triangle Trigonometry Trig Ratio Activity from TI Geometry: Trig Ratios Discovery Education Streaming Videos (search: Right Triangle Trig) Kuta Software: Evaluate Trig Ratios Kuta Software: Right Triangle TrigFinding missing sides and angles Can students determine how right triangle trigonometry is used to solve right triangles? www.Mathtv.com/videos_by_topic Mathbits.com: Degrees, Radians, and Trig Angle Entries for TI-83 and TI84 Regents Prep: Six Trigonometric Functions G.SRT.10 G.SRT.11 Prove the Law of Sines and Cosines and use them to solve problems. Understand and apply the Law of Sines and Cosines to find unknown measurements in right and non-right triangles. Solve oblique triangles using the Law of Sines Solve real world problems using the Law of Sines Solving of Triangles using the Law of Cosines Applications of the Law of Cosines Solve real world problems using the Law of Sines Supplementary Angle Identitiy When is it necessary to use the Law of Sines to solve a triangle? When is it necessary to use the Law of Cosines to solve a triangle? 7.2 Law of Sines 7.3 Law of Cosines NCTM Illuminations Activity Trigonometric Identities, Equations, and Applications (pages 28-31 Law of Sines, Cosines, and Area) Regents Prep: Laws of Sines & Cosines Math Tools: various oblique triangle resources Wolfram Interactive Demo: Lafayette Parish School System Advanced Math Functions Curriculum Map Unit 1: Trigonometry of Triangles CC # Common Core Evidence / Assessments of learning Instructional Notes/Strategies Differentiation Solving Oblique Triangles Math Warehouse: Law of Sines Math Warehouse: Law of Sines Ambiguous Case Math Warehouse: Law of Cosines Illustrative Math Task: Law of Cosines: Satellite Illustrative Math Task: Law of Cosines: Lighthouse G.SRT.9 1 ab sin(c) for the area of 2 a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side Derive the formula A Find area of oblique triangles Can students find the areas of oblique triangles? 7.4 Area of a Triangle Math TV (Select: Trigonometry>Triangles>The Area of a Triangle) eHow Video: How to Find Area of an Oblique Triangle Math is Fun: Area of Triangles without Right Angles ck-12 Foundation: Derivation of the Triangle Area Formula