Unit 3: Acute Triangle Trigonometry
Lessons with Approximate Time
8 DAYS
Day 1
Review Lesson
Main Concepts in Lesson: | Achievement Indicator: | Assessment For Learning Questions to Assign |
Review the concepts of Sine, Cosine and Tangent. Practice solving problems with more than one right angle triangle. | There are no AI's for this concept. | |
Videos: Khan Academy: Introduction to Trigonometry http://www.khanacademy.org/video/basic-trigonometry?playlist=Trigonometry Khan Academy: Basic Trigonometry II: A Few More Examples http://www.khanacademy.org/video/basic-trigonometry-ii?playlist=Trigonometry |
Day’s 2 and 3: Laws of Sine
U3L1 and L2
Main Concepts in Lesson: | Achievement Indicator: | Assessment For Learning Questions to Assign |
Laws of Sine We use the Sine Law to solve for both angles and sides in oblique triangles, given the following situations: Two sides and the angle opposite a known side. Two angles and any side. | Draw a diagram that represents a problem that involves using the sine law. Explain the steps in a given proof of the sine law. Use the sine law to determine unknown side lengths or angle measures in an acute triangle. | U3L1 Page 131 Questions #1, 2a, 2c, and 4 U3L2 Pages 139 – 141 Questions #3a, 3b, 3d, 3e, 4, 5, 6a, 6c, 8, 9, 11 and 16 |
Videos: Khan Academy: Proof: Law of Sines: A Simple Proof of the Law of Sine http://www.khanacademy.org/video/proof--law-of-sines?playlist=Trigonometry |
Day 4:
U3L3:The Cosine Law
Main Concepts in Lesson: | Achievement Indicator: | Assessment For Learning Questions to Assign |
Cosine Law We use the Cosine Law to solve sides and angles when we are given the following: Two sides and a contained angle. All three sides. | Draw a diagram that represents a problem that involves using the cosine law. Explain the steps in a given proof of the cosine law. Use the cosine law to determine unknown side lengths or angle measures in an acute triangle. | Pages 151 - 152 Questions #4, 5, 6a, 6c, 8, 11, and 14 |
Videos: Khan Academy: Laws of Cosine http://www.khanacademy.org/video/law-of-cosines?playlist=Trigonometry |
Day 5 and 6
U3L4: Solving Problems Using Acute Triangles
Main Concepts in Lesson: | Achievement Indicator: | Assessment For Learning Questions to Assign |
We use SOH CAH TOA and Pythagorean Theorem when the triangle is a right angled triangle. We use Laws of Sine and Cosine when the triangle is an Oblique Triangle. | Draw a diagram to represent a problem that involves the cosine and sine law. Solve a contextual problem that requires the use of the sine or cosine law. Solve a contextual problem that involves more than one triangle. | Pages 161 - 163 Questions #3, 4, 6, 11, 13, 14, |
Videos: |
Day 7: Chapter Assignment
Day 8: Chapter Exam