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:

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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


Last modified: Monday, 19 May 2014, 9:32 PM