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Understanding Trigonometric 
Identities and Solving 
Triangles 
CARLEY BOSWELL 
CI350-102
Analyzing the Learners 
General Characteristics: 
oThe students for whom this lesson is intended are high school students who are taking 
geometry. The students are around the age of 14 and 15. There are 11 girls and 14 boys in the 
class and a variety of races among them; 60% white, 25% African-American, and 15% Hispanic. 
Learning Styles: 
oAll students learn differently so I need to incorporate visual, auditory, and hands on types of 
learning. 
Specific Entry Competencies: 
oBefore teaching the students, I need to find out what they know and what they do not know 
about trigonometric functions of right triangles. I do not want to assume that they know more 
or less on the subject. I will do this by testing them the week before on a small pop quiz.
Main Objective 
oGiven a triangle’s side and/or degree measurements, the students will be able to explain and 
demonstrate how to find the values of trigonometric functions and how they can be used to 
solve right and non right triangles after watching videos, listening to podcasts, doing webquests, 
reviewing posters, doing homework assignments using twitter, Facebook and blogs, working in 
groups to complete practice problems, and making their own life applicable problems using one 
of the technology tools presented, by the end of the week, with 85% of accuracy.
Day-By-Day Breakdown 
Day 1: Define and apply the trigonometric functions using SOH-CAH-TOA (sinA = 
opposite/hypotenuse, cosA = adjacent/hypotenuse, tanA = opposite/adjacent) and cosecant, 
secant, and cotangent (cscA = hypotenuse/opposite, secA = hypotenuse/adjacent, cotA = 
adjacent/hypotenuse). 
Day 2: Solving right triangles using the trig identities. 
Day 3: Define and apply Law of Sine and Law of Cosine. 
Day 4: Solving right and non-right triangles using Law of Sines and Law of Cosines and the trig 
identities. 
Day 5: To asses the students, they will create their own problems and solve them. How they 
decide to solve it and turn will be their choice. They must present their problem and solve it 
using one of the technology tools that I used over the week to teach them. They will begin it in 
class and turn it in first thing the following week.
Use of Technology 
oA Calculator 
oSmart board 
oA computer 
oA Facebook account 
oA twitter account 
oA podcast 
oA blog 
oPhotoshop 
oVideos/Youtube 
oA WebQuest
Works Cited 
oKerkenbush, D. (n.d.). Lesson Plan : Trigonometric Functions. In Teachnology. Retrieved 
September 22, 2014, from http://www.teach-nology. 
com/lessons/lsn_pln_view_lessons.php?action=view&cat_id=5&lsn_id=29998 
oSAT Math Level 2. (n.d.). In Sparknotes. Retrieved September 23, 2014, from 
http://www.sparknotes.com/testprep/books/sat2/math2c/chapter9section1.rhtml

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Unit Plan

  • 1. Understanding Trigonometric Identities and Solving Triangles CARLEY BOSWELL CI350-102
  • 2. Analyzing the Learners General Characteristics: oThe students for whom this lesson is intended are high school students who are taking geometry. The students are around the age of 14 and 15. There are 11 girls and 14 boys in the class and a variety of races among them; 60% white, 25% African-American, and 15% Hispanic. Learning Styles: oAll students learn differently so I need to incorporate visual, auditory, and hands on types of learning. Specific Entry Competencies: oBefore teaching the students, I need to find out what they know and what they do not know about trigonometric functions of right triangles. I do not want to assume that they know more or less on the subject. I will do this by testing them the week before on a small pop quiz.
  • 3. Main Objective oGiven a triangle’s side and/or degree measurements, the students will be able to explain and demonstrate how to find the values of trigonometric functions and how they can be used to solve right and non right triangles after watching videos, listening to podcasts, doing webquests, reviewing posters, doing homework assignments using twitter, Facebook and blogs, working in groups to complete practice problems, and making their own life applicable problems using one of the technology tools presented, by the end of the week, with 85% of accuracy.
  • 4. Day-By-Day Breakdown Day 1: Define and apply the trigonometric functions using SOH-CAH-TOA (sinA = opposite/hypotenuse, cosA = adjacent/hypotenuse, tanA = opposite/adjacent) and cosecant, secant, and cotangent (cscA = hypotenuse/opposite, secA = hypotenuse/adjacent, cotA = adjacent/hypotenuse). Day 2: Solving right triangles using the trig identities. Day 3: Define and apply Law of Sine and Law of Cosine. Day 4: Solving right and non-right triangles using Law of Sines and Law of Cosines and the trig identities. Day 5: To asses the students, they will create their own problems and solve them. How they decide to solve it and turn will be their choice. They must present their problem and solve it using one of the technology tools that I used over the week to teach them. They will begin it in class and turn it in first thing the following week.
  • 5. Use of Technology oA Calculator oSmart board oA computer oA Facebook account oA twitter account oA podcast oA blog oPhotoshop oVideos/Youtube oA WebQuest
  • 6. Works Cited oKerkenbush, D. (n.d.). Lesson Plan : Trigonometric Functions. In Teachnology. Retrieved September 22, 2014, from http://www.teach-nology. com/lessons/lsn_pln_view_lessons.php?action=view&cat_id=5&lsn_id=29998 oSAT Math Level 2. (n.d.). In Sparknotes. Retrieved September 23, 2014, from http://www.sparknotes.com/testprep/books/sat2/math2c/chapter9section1.rhtml