Geometry
Chapter 9 Right Triangles & Trigonometry
Unit 9-1 The Pythagorean Theorem
- Standard 9a: Use the Pythagorean Theorem
- Standard 9b: Use the Converse of the Pythagorean Theorem
- Standard 9c: Classify Triangles
Agenda
- Finding the Hypotenuse of a Right Triange
- Common Pythagorean Triples
- 3, 4, 5
- 5, 12, 13
- 8, 15, 17
- Search for More Triples
- Acute and Obtuse Triangles
- Assignment 9-1: Part A Pg. 468 #4-12 Even, 13, 14-20 Even Part B #22-34 Even
- Screencast
- Powerpoint
- PDF Slides
- Toolkit
- Geogebra
Unit 9-2 Special Right Triangles
- Standard 9d: Find Side Lengths in Special Right Triangles
- Standard 9e: Solve Real-life Problems involving Special Right Triangles
Agenda
- 45-45-90 Triangles
- Using Isosceles Triangle properties
- 30-60-90 Triangles
- The side opposite the 30 degree angle is half the hypotenuse
- Assignment 9-2: Pg. 475 #4-10 Even, 14-17, 20
Unit 9-3 Similar Right Triangles
- Standard 9f: Identify Similar Right Triangles
- Standard 9g: Solve Real-Life Problems Involving Similar Triangles
- Standard 9h: Use Geometric Means
Agenda
- Assignment 9-3: Pg. 482 #4-10 Even, 11-16, 19-24 All, 31, 32
Unit 9-4 The Tangent Ratio
- Standard 9i: Use the Tangent Ratio
- Standard 9j: Find the Tangent Ratio of Angle Measures in Right Triangles
- Standard 9k: Solve Real-Life Problems Using the Tangent Ratio
Agenda
- The tangent ratio: opposite/adjacent
- Tangents of special angles 30, 45, and 60 degrees
- Using Tangent to solve for missing sides
- Assignment 9-4: Pg. 491 #3-10, 15, 16, 27, 28, 29
Proving Lines Perpendicular & Parallel Activity
Proving Lines Perpendicular & Parallel Activity Solutions
Unit 9-5 The Sine and Cosine Ratios
- Standard 9l: Use the Sine and Cosine Ratios
- Standard 9m: Find the Sine and Cosine of Angle Measures in Right Triangles
- Standard 9n: Solve Real-Life Problems Involving Sine and Cosine Ratios
Agenda
- The sine ratio: opposite/hypotenuse
- The cosine ratio: adjacent/hypotenuse
- sin A = cos (90 − A); cos A = sin(90 − A)
- Using Sine and Cosine to solve for missing sides
- Assignment 9-5: Pg. 498 #3-23, 27, 28
Unit 9-6 Solving Right Triangles
- Standard 9o: Use Inverse Trigonometric Ratios
- Standard 9p: Solve Right Triangles Completely
- Standard 9q: Solve Real-Life Problems Using Inverse Trigonometric Ratios
Agenda
- Using sine, cosine, and tangent to solve for missing sides of right triangles
- Using inverse sine, inverse cosine, and inverse tangent to solve for missing angles of right triangles
- Assignment 9-6: Pg 505 #7-25
Unit 9-7 The Law of Sines & Law of Cosines
Agenda
- Law of Sines
- Law of Cosines
- Assignment 9-7: Part A Pg. 513 #9-18 Part B #19-36