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6. Trigonometric Identities

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Site: ARPDC
Course: ERLCMath 30-1, 2012-2014 - Stephanie MacKay (Click to Enter)
Book: 6. Trigonometric Identities
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Date: Wednesday, 8 May 2024, 3:58 PM

6. Trigonometric Identities

Trig Identities notes

Interactive Notes for Students

 

http://learning.arpdc.ab.ca/pluginfile.php/20592/mod_folder/content/0/Trig%20Identities.doc?forcedownload=1

Trigonometric Identities Summary Chart

Identities Chart

Click on the image above to download a pdf version of the chart.

6.1 Reciprocal, Quotient, and Pythagorean Identities

Algebra Skills Required for Proving and SimplifyingTrig Identities

 Algebra Skills Worksheet

I use the Algebra Skills worksheet to review operations with fractions. I find that when I review skills with fractions first, students find it easier to simplify expressions involving trig identities.

 

Class Notes

The McGraw-Hill Ryerson PreCalculus 12 Text is used as the Main Resource.

Assignments in the Powerpoint Lesson Plans refer to pages and questions in the PreCalculus 12 text.

 6.1A Reciprocal, Quotient, and Pythagorean Identities

  6.1B Reciprocal, Quotient, and Pythagorean Identities

 6.1 Formative assessment Verifying Identities and Stating Restrictions

 

Supporting Documents

Simplifying Trigonometric Expressions

Simplifying Trigonometric Expressions Penguin

 

Digital Resources

  6.1 Deriving Pythagorean Identities

  6.1 Matching Trig Identities

6.2 Sum, Difference, and Double-Angle Identities

Class Notes

The McGraw-Hill Ryerson PreCalculus 12 Text is used as the Main Resource.

Assignments in the Powerpoint Lesson Plans refer to pages and questions in the PreCalculus 12 text.

 

 6.2 Sum Difference and Double Angle Identities 

 

Pedagogical Shifts: TRANSFORM, moving from Traditional to Student-Centered

Shifting from Memorization to Higher-level Thinking

 Sum, Difference and Double Angle Identities, Find the Error

In this activity, students are given worked out solutions to questions involving sum, difference and double angle identities. The worked out solutions have an error in them. Students must identify the error and provide a correct complete solution. I like that this activity allows students to think of this style of question in a scaffolded manner. The Mathematical Processes that are involved in this activity include using communication in order to learn and express understanding and develop mathematical reasoning.

  Trigonometry Identity Jigsaw Puzzle

Students must cut apart 16 square and reassemble a 4 by 4 square where the adjacent sides are equivalent expressions.

 6.2 Sum Difference and Double Angle Identities Extra Practice new

6.3 Proving Identities

Class Notes

The McGraw-Hill Ryerson PreCalculus 12 Text is used as the Main Resource.

Assignments in the Powerpoint Lesson Plans refer to pages and questions in the PreCalculus 12 text.

 

 6.3 Proving Identities

6.4 Solving Trigonometric Equations Using Identities

Class Notes

The McGraw-Hill Ryerson PreCalculus 12 Text is used as the Main Resource.

Assignments in the Powerpoint Lesson Plans refer to pages and questions in the PreCalculus 12 text.

  6.4 Solving Trogonometric Equations

   Solving Equations Multiple Choice

6. Trig Identities Review

  Chapter 6 Review (Dave Kruisselbrink)