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Understanding Trigonometric 
Functions 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 note-taking, watching videos, and working in groups to 
complete practice problems and make up their own life applicable practice problems, by the end 
of the week with 80% of accuracy.
Day-By-Day Breakdown 
Day 1: Define basic trigonometric functions using SOH-CAH-TOA (sinA = opposite/hypotenuse, 
cosA = adjacent/hypotenuse, tanA = opposite/adjacent) and how to use a calculator to find 
these. 
Day 2: Define cosecant, secant, and cotangent (cscA = hypotenuse/opposite, secA = 
hypotenuse/adjacent, cotA = adjacent/hypotenuse) and how to use a calculator to find these. 
Day 3: Solving right triangles given one angle and two sides or given two sides. 
Day 4: Inverse trigonometric functions (arcsine, arccosine, and arctangent). 
Day 5: Solving non-right triangles using Law of Sines and Law of Cosines.
Use of Technology 
oEvery student will need a calculator that will allow them to find sine, cosine, and tangent of a 
right triangle. 
oA smart board will be helpful to the students, as well as myself, when doing practice problems 
on the board and during note taking. 
oA computer to be able to watch videos.
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 PowerPoint

  • 1. Understanding Trigonometric Functions 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 note-taking, watching videos, and working in groups to complete practice problems and make up their own life applicable practice problems, by the end of the week with 80% of accuracy.
  • 4. Day-By-Day Breakdown Day 1: Define basic trigonometric functions using SOH-CAH-TOA (sinA = opposite/hypotenuse, cosA = adjacent/hypotenuse, tanA = opposite/adjacent) and how to use a calculator to find these. Day 2: Define cosecant, secant, and cotangent (cscA = hypotenuse/opposite, secA = hypotenuse/adjacent, cotA = adjacent/hypotenuse) and how to use a calculator to find these. Day 3: Solving right triangles given one angle and two sides or given two sides. Day 4: Inverse trigonometric functions (arcsine, arccosine, and arctangent). Day 5: Solving non-right triangles using Law of Sines and Law of Cosines.
  • 5. Use of Technology oEvery student will need a calculator that will allow them to find sine, cosine, and tangent of a right triangle. oA smart board will be helpful to the students, as well as myself, when doing practice problems on the board and during note taking. oA computer to be able to watch videos.
  • 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