Download Algebra II - Lockland Local Schools

PreCalculus
Unit 7: Triangle Trigonometry
(Do Not Lose This)
Name:________________________________________
Syllabus
Lesson 1: Right Triangle Trigonometry
M. April 4 – T. April 5
Learning Goals:
 Use right triangle trigonometry to solve problems involving unknown sides and unknown angles.
Classroom Activities:
 Students will work in groups of four to complete the following problems:
Practice Problems:
pg.459 #53, 56, 59, 60, 63, 64, 67, 71, 74, 79
Due: Wednesday, April 6
Lesson 2: Law of Cosines
W. April 6 – F. April 8
Learning Goals:
 Understand and follow the proof of the law of cosines.
 Use the Law of Cosines to solve for missing sides or missing angles
 Use the Law of Cosines in problem situations.
Classroom Activities:
 The teacher will introduce students to the Law of Cosines and provide an example of how the
law of cosines might be used to find an unknown side or unknown angle of a triangle.
 Each student will then individually read through the proof of the law of cosines which will
then be covered on the board by the teacher.
 Students will then be split into three groups, each responsible to present an example of the
uses of the laws of cosines found in Example 2, 3, and 4 starting on pg. 464.
Practice Problems: pg. 304 #4-36 multiples of four
Quiz:
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Due: Friday, April 8
Lessons 1 & 2
Friday, April 8
Use right triangle trigonometry to solve problems involving unknown sides and unknown angles.
Understand and follow the proof of the law of cosines.
Use the Law of Cosines to solve for missing sides or missing angles
Use the Law of Cosines in problem situations.
Lesson 3: Law of Sines
M. April 11 - W. April 12
Learning Goals:
 Prove the Law of Sines
 Use the Law of Sines with AAS, and SSA in two cases
 Solve Problem situations using the Law of Sines
 Solve for the area of a triangle using .5abSinC and Heron’s Formula
Classroom Activities:
 The teacher will guide students through the proof of the law of cosines and provide examples
of how the Law of Sines can be used in particular problem situations. Additionally, we will
cover how the Law of Sines may not work perfectly because of the SSA situation.
 Additionally, students will learn how to find the area of obtuse triangles using a formula as
well as Heron’s Formula
Practice Problems: pg. 479 #3 – 57 mult. Of 3
Due Wednesday April 12
Unit 7 Review: Triangle Trigonometry
 Students will work in small groups to review for upcoming test.
W. April 12 – Th. April 13
Practice Problems:
 Pg. 483 #2, 5, 7, 9, 12, 14, 15, 20, 22, 24, 28, 30, 33, 35, 38
Test Unit 7: Triangle Trigonometry
 Use right triangle trigonometry to solve problems involving unknown sides and unknown angles.
 Understand and follow the proof of the law of cosines.
 Use the Law of Cosines to solve for missing sides or missing angles
 Use the Law of Cosines in problem situations.
 Prove the Law of Sines
 Use the Law of Sines with AAS, and SSA in ambiguous cases
 Solve Problem situations using the Law of Sines
 Solve for the area of a triangle using .5abSinC and Heron’s Formula
Self Assessment
My Copy
Scale: 1 – 4
Name:___________________________
I will be able to:
Learning Goals
Date(s) of
Introduction
Level of
Knowledge
(Pre)
Level of
Knowledge
After Lesson
and Practice
Level of
Knowledge
After Quiz
Use right triangle trigonometry
to solve problems involving
unknown sides and unknown
angles.
Understand and follow the proof
of the law of cosines.
Use the Law of Cosines to solve
for missing sides or missing
angles
Use the Law of Cosines in
problem situations.
Prove the Law of Sines
Use the Law of Sines with AAS,
and SSA in ambiguous cases
Solve Problem situations using
the Law of Sines
Solve for the area of a triangle
using .5abSinC and Heron’s
Formula
Quiz 1 Grade ____
Test Grade: ____
Level of
Knowledge
After Test
Use this space to write questions or misunderstandings
from the lessons or practice problems
Self Assessment
Mr. Gaertner’s
Scale: 1 – 4
Name:___________________________
I will be able to:
Learning Goals
Date(s) of
Introduction
Level of
Knowledge
(Pre)
Level of
Knowledge
After Lesson
and Practice
Level of
Knowledge
After Quiz
Use right triangle trigonometry
to solve problems involving
unknown sides and unknown
angles.
Understand and follow the proof
of the law of cosines.
Use the Law of Cosines to solve
for missing sides or missing
angles
Use the Law of Cosines in
problem situations.
Prove the Law of Sines
Use the Law of Sines with AAS,
and SSA in ambiguous cases
Solve Problem situations using
the Law of Sines
Solve for the area of a triangle
using .5abSinC and Heron’s
Formula
Quiz 1 Grade ____
Test Grade: ____
Level of
Knowledge
After Test
Ohio's Benchmarks and Standards
B. Apply various measurement scales to describe phenomena and solve problems.
02. Use radian and degree angle measures to solve problems and perform
conversions as needed.
A. Use trigonometric relationships to verify and determine solutions in problem
situations.
04. Use trigonometric relationships to determine lengths and angle measures; i.e.,
Law of Sines and Law of Cosines.