Unit 3: Trigonometry

Unit 3: Right Triangle Trigonometry and the Unit Circle (a traditional approach)

In this unit students will study the six trigonometric functions in depth. Requisite time will be spent on this unit to give students the opportunity to understand the unit circle, the culminating lesson being the graphing of the sine, cosine, and tangent functions.
Prerequisite Units: None
Materials Needed: Computer
Approximately 22 Days needed

3.1 - 2: Right Triangles

This information can be taught as one or two lessons. I've done both depending on my student population any given year. If you break into sections 3.1 and 3.2 I recommend letting 3.1 be the review of right triangles and trigonometric ratios and 3.2 be a review of angles of elevation and depression problems.

Lesson Resources

Lesson 3.1 Guided Notes (Word)
File Size:	1805 kb
File Type:	docx

Problem Set 3.1 (PDF)
File Size:	388 kb
File Type:	pdf

Problem Set 3.1 Solutions
File Size:	2206 kb
File Type:	pdf

Problem Set 3.3 (PDF)
File Size:	20 kb
File Type:	pdf

Problem Set 3.3 Solutions
File Size:	622 kb
File Type:	pdf

Unit 3: Right Triangle Trigonometry and the Unit Circle ​(a traditional approach)

3.1 - 2: Right Triangles

Lesson 3.1 Video 1 - Right TrianglesThis video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed. ​

Lesson 3.1 Video 2 - Angles of Elevation and DepressionThis video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed. ​

Lesson 3.3: Angles in Standard Position, Coterminal Angles, and Reference Angles (all in degrees)

Lesson 3.3 VideoThis video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed. ​

Lesson 3.4: Radian Measure

Lesson 3.4 Video This video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed. ​ ​

Lesson 3.5: The Unit Circle Part 1

Lesson 3.5 Video This video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed. ​

Lesson 3.6: The Unit Circle Part 2

Lesson 3.6 Video This video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed. ​

Lesson 3.7: Evaluating Trigonometric Expressions

Lesson 3.7 VideoThis video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed. ​ ​

Lesson 3.8 Introduction: Graphing Sine, Cosine, and Tangent Functions

Lesson 3.8: Transformations of Sine and Cosine Functions

Lesson 3.8 VideoThis video does not reflect the approach to graphing transformations of Sine and Cosine Functions that I use in class. However, it is a traditional alternative for students who are absent during class or for flipping the classroom. ​​

Lesson 3.9: Modeling with Sine and Cosine Functions

Modeling Project with Trigonometry

Additional Resources

Unit 3: Right Triangle Trigonometry and the Unit Circle (a traditional approach)

Lesson 3.1 Video 1 - Right Triangles
This video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed.

Lesson 3.1 Video 2 - Angles of Elevation and Depression
This video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed.

Lesson 3.3 Video
This video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed.

Lesson 3.4 Video
This video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed.

Lesson 3.5 Video
This video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed.

Lesson 3.6 Video
This video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed.

Lesson 3.7 Video
This video may not reflect the guided note sheets perfectly. It can be used to flip the classroom or give the instructor guidance as to how the guided notes are designed.

Lesson 3.8 Video
This video does not reflect the approach to graphing transformations of Sine and Cosine Functions that I use in class. However, it is a traditional alternative for students who are absent during class or for flipping the classroom.