# Plan OER Structure Part 1A: Outline

**URL:** <https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434>\
**Category:** CMAT 1223 Trigonometry\
**Created:** [February 3, 2023, 3:37pm UTC](https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434 "2023-02-03T15:37:11Z")\
**Posts on this page:** 9\
**Page:** 1

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**Author:** ![jeusea](https://sea1.discourse-cdn.com/flex015/user_avatar/forum.rebus.community/jeusea/32/1493_2.png) [@jeusea](https://forum.rebus.community/u/jeusea)\
**Post date:** [February 3, 2023, 3:37pm UTC](https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434/1 "2023-02-03T15:37:11Z")

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Trig Cohort -

Let’s draft the outline of our OER below to include all the parts or chapters that we envision.

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**Author:** ![ddensmore](https://sea1.discourse-cdn.com/flex015/user_avatar/forum.rebus.community/ddensmore/32/1455_2.png) [@ddensmore](https://forum.rebus.community/u/ddensmore)\
**Post date:** [February 3, 2023, 5:03pm UTC](https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434/2 "2023-02-03T17:03:53Z")

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Below is what I envision as the course outline.  
Chapter 1 - Trigonometric Functions; Angle relationships, similar triangles, definitions of trig functions and using the definitions  
Chapter 2 - Right triangle trig: Trig for acute and non acute angles, Solutions and applications of right triangles,  
Chapter 3 - Non Right Triangle Trig: Law of Sines and Cosines,  
Chapter 4 - Radians and the Unit Circle: Include applications of radians such as arc length, linear and angular velocity  
Chapter 5: Graphing of Trig Function and their inverses  
Chapter 6: Identities: Proving identities,  
Chapter 7: Solving Trig Equations  
Chapter 8: Vectors: Definitions and applications

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**Author:** ![Yi\_Zhen](https://sea1.discourse-cdn.com/flex015/user_avatar/forum.rebus.community/yi_zhen/32/1523_2.png) [@Yi\_Zhen](https://forum.rebus.community/u/Yi_Zhen)\
**Post date:** [February 7, 2023, 6:56pm UTC](https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434/3 "2023-02-07T18:56:59Z")

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Discussion:  
In order to build prior knowledge influenced learning process, the considerations are as follows:  
(1)Combining the concepts of angles and triangles of chapter 1 and chapter 4 to be the first chapter.  
(2)Adding one chapter for Trigonometric Functions after chapter 3.  
(3)Combining chapter 6 and 7 into the chapter of “Trigonometric Equations and Identities”.

Thank You.

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**Author:** ![bkunwor](https://sea1.discourse-cdn.com/flex015/user_avatar/forum.rebus.community/bkunwor/32/1456_2.png) [@bkunwor](https://forum.rebus.community/u/bkunwor)\
**Post date:** [February 10, 2023, 8:16pm UTC](https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434/4 "2023-02-10T20:16:59Z")

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Thank you, Donna and Yi, for your input. I fully agree with Yi’s suggestion to integrate radians and unit circles beforehand. I believe it would be beneficial for us to have a brief zoom meeting to discuss our thoughts on the chapter organization and then reach a consensus as a team regarding the sections and chapters.  
These are my initial thoughts:

Chapter 1: Right-Angled Trigonometry & Unit Circle

- Angles & triangles, similar triangles, and equation of a circle
- Radians and the Unit Circle
- Include applications of radians such as arc length, linear and angular velocity
- Right-angled triangle, Pythagorean theorem, and definitions of trig functions
- Solutions and applications of right-angled triangles
- Use reference angle to find trig function values.
- Use calculators to find any trig function values.
- Reciprocal functions

Chapter 2: Periodic Functions.

- Graph of sine and cosine functions
- Transformation of sine and cosine functions
- Inverse functions

Chapter 3: Trig functions and Identities

- Proving Identities,
- Sum and Difference Formula,
- Double and half-angle formulas
- Solving trig Equations

Chapter 4: Non-Right Triangle Trig

- Law of sines
- Law of cosines

Chapter 5: Vectors

- Rectangular Co-ordinate System and vector representation
- Vector decomposition and applications

Chapter 6: Polar Co-ordinates and Graphs

- Polar co-ordinates
- Polar graphs

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<div class="post-metadata">

**Author:** ![ddensmore](https://sea1.discourse-cdn.com/flex015/user_avatar/forum.rebus.community/ddensmore/32/1455_2.png) [@ddensmore](https://forum.rebus.community/u/ddensmore)\
**Post date:** [February 13, 2023, 11:16pm UTC](https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434/5 "2023-02-13T23:16:10Z")

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I could go either way. I have always done triangles first. Either way, I think your version of chapter 1 could be split since the other chapters have no more than 4 topics.

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**Author:** ![hkim](https://avatars.discourse-cdn.com/v4/letter/h/fbc32d/32.png) [@hkim](https://forum.rebus.community/u/hkim)\
**Post date:** [February 14, 2023, 4:34pm UTC](https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434/6 "2023-02-14T16:34:43Z")

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It looks good. I agree with Donna’s opinion to split the first chapter. And I want to remove Ch 5 because there are already too many topics to cover during one semester.

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**Author:** ![bkunwor](https://sea1.discourse-cdn.com/flex015/user_avatar/forum.rebus.community/bkunwor/32/1456_2.png) [@bkunwor](https://forum.rebus.community/u/bkunwor)\
**Post date:** [February 15, 2023, 1:11am UTC](https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434/7 "2023-02-15T01:11:40Z")

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Excellent idea, Donna and Kim. To clarify, we suggest splitting chapter 1 and removing chapter 5. By the way, do you have a preference for which book we should adopt?

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**Author:** ![ddensmore](https://sea1.discourse-cdn.com/flex015/user_avatar/forum.rebus.community/ddensmore/32/1455_2.png) [@ddensmore](https://forum.rebus.community/u/ddensmore)\
**Post date:** [February 15, 2023, 4:46pm UTC](https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434/8 "2023-02-15T16:46:07Z")

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If we remove a chapter I think it should be Chapter 6. That is optional in most course descriptions.

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<div class="post-metadata">

**Author:** ![ddensmore](https://sea1.discourse-cdn.com/flex015/user_avatar/forum.rebus.community/ddensmore/32/1455_2.png) [@ddensmore](https://forum.rebus.community/u/ddensmore)\
**Post date:** [February 15, 2023, 4:46pm UTC](https://forum.rebus.community/t/plan-oer-structure-part-1a-outline/8434/9 "2023-02-15T16:46:52Z")

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I still like the one I mentioned initially. It words well for high school and community college.
