My name is ____________________________ Period _____ Chapter 9 Target, Assignment, & Pacing Log Lesson 9.1 Date Assignment Jan 28 (B) Lesson 9.1 : The Pythagorean Theorem HW #8 Page 468: #1-12 all; Page 469: #15-27 odd, #30 Lesson 9.2: Special Right Triangles HW #9 Page 475: #1-14 all, #17, #26, #27. Lesson 9.4: The Tangent Ratio HW #10 Page 491: #1-18 all, #27-29. Lesson 9.5: The sine and Cosine Ratios HW #11 Page 498: #1-8, #1728, #41-44. Lesson 9.6 : Solving Right Triangles HW #12 Page 505: #1-19, #2122. Review for chapter test HW #13 : Chapter 9 Practice Test worksheet Performance Task HW#14: Edmodo CHAPTER 9 TEST PDD 9.2 Jan 30(B) 9.4 Feb 3 (B) 9.5 Feb 5 (B) CAHSEE TEST 9.6 Feb 10 (B) Review Feb 12 (B) PT Feb 17 (B) TEST Feb 19 (B) Exploration Notes Homework *Lessons are based on “Big ideas math” Geometry a common core curriculum textbook. To see the textbook online AND have additional resources, go to www.bigideasmath.com Edmodo, check often for alternatives to Homework and Projects, www.edmodo.com Kahn Academy project, You need to finish your Geometry Mission, www.khanacademy.org “A person who never made a mistake never tried anything new. “ Albert Einstein SOH CAH TOA Essential Question: How do trigonometric ratios relate to similar right triangles? Learning Targets: “I can …” First Score Second Score 9.1. I can use the converse of the Pythagorean theorem to classify a right, acute or obtuse triangle. 9.2. I can prove the Pythagorean Theorem using triangle similarity. 9.3. I can calculate a missing side of a right triangle by using the special relationships that exist between a 45°-45°-90° Triangle. 9.4. I can calculate a missing side of a right triangle by using the special relationships that exist between a 30°-60°-90° Triangle. 9.5. I can solve and identify the parts of a right triangle. 9.6. I can use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.* Vocabulary: Angle of depression, Angle of elevation, Cosine / Inverse Cosine, Identity, Pythagorean triple, Isosceles Triangle, Sine / Inverse Sine, Solve a right triangle, Trigonometric ratio, Tangent / Inverse Tangent. Prove theorems involving similarity CCSS.MATH.CONTENT.HSG.SRT.B.4 Prove theorems about triangles. Theorems include: the Pythagorean Theorem proved using triangle similarity. CCSS.MATH.CONTENT.HSG.SRT.B.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Define trigonometric ratios and solve problems involving right triangles CCSS.MATH.CONTENT.HSG.SRT.C.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. CCSS.MATH.CONTENT.HSG.SRT.C.7 Explain and use the relationship between the sine and cosine of complementary angles. CCSS.MATH.CONTENT.HSG.SRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. * If Time: Apply trigonometry to general triangles CCSS.MATH.CONTENT.HSG.SRT.D.9 (+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side. CCSS.MATH.CONTENT.HSG.SRT.D.10 (+) Prove the Laws of Sines and Cosines and use them to solve problems. CCSS.MATH.CONTENT.HSG.SRT.D.11 (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).