Honors Geometry Unit 4 & 5 Jetmore Fall 2015
Trigonometry and Completing the Triangle Tool Kit
Unit Objectives:
 Learn how the tangent ratio is connected to the slope of a line.
 Learn the trigonometric ratio of tangent.
 Learn how to apply trigonometric ratios to find missing measurements in right triangles.
 Learn how to model real world situations with right triangles and use trigonometric ratios to solve problems.
 Learn how to recognize and use special right triangles.
 Learn the trigonometric ratios of sine and cosine as well as the inverses of these functions.
 Learn how to apply trigonometric ratios to find missing measurements in right triangles.
 Learn new triangle tools called the Law of Sines and the Law of Cosines.
 Learn how to recognize when the information provided is not enough to determine a unique triangle.
Date
M Oct 26
T Oct 27
W Oct 28
R Oct 29
F Oct 30
Topic/Lesson
4.1.1 Constant Ratios in Right Triangles
4.1.2 Connecting Slope Ratios to Specific Angles
4.1.3 Finding Slope Ratios for Other Angles
NWEA Testing
4.1.4 The Tangent Ratio
Assignment
CW 1-5, HW 6-10
CW 11-15, HW 16-20
CW 21-24, HW 25-29
M Nov 2
T Nov 3
W Nov 4
R Nov 5
F Nov 6
4.1.5 Applying the Tangent Ratio – Field Trip!!
5.1.1 Sine and Cosine Ratios
5.1.2 Selecting a Trig Tool
5.1.3 Inverse Trigonometry
5.1.4 Trigonometric Applications
CW 41-42, HW 43-47
CW 1-6, HW 7-11
CW 12-15, HW 16-20
CW 21-25, HW 26-30
CW 31-35, HW 36-40
M Nov 9
T Nov 10
W Nov 11
R Nov 12
F Nov 13
Section 4.1 and 5.1 Individual Quiz (10 points)
5.2.1 Special Right Triangles
5.2.2 Pythagorean Triples
5.3.1 Finding Missing Parts of Triangles
5.3.2 Law of Sines
Algebra Review
CW 41-45, HW 46-50
CW 51-55, HW 56-60
CW 61-66, HW 67-72
CW 73-78, HW 79-84
M Nov 16
T Nov 17
W Nov 18
R Nov 19
F Nov 20
5.3.3 Law of Cosines
5.3.4 Ambiguous Triangles
5.3.5 Choosing a Tool – part 1
5.3.5 Choosing a Tool – part 2
Section 5.2 and 5.3 Group Quiz (10 points)
CW 85-88, HW 89-94
CW 95-99, HW 100-105
CW 106-113, HW 114-119
CW 120-125
Algebra Review
Chapter closure – more trig practice
Chapter 4/5 Test (50 points)
Notecards due – math notes and learning logs (10 points)
LAST DAY FOR CHAPTER 3 RETAKES
W Nov 25 – F Nov 27 NO SCHOOL – Thanksgiving Break
M Nov 23
T Nov 24
CW 30-35, HW 36-40
Algebra Review
TUTORING is available most mornings 7:30-8:00am and after school as needed.
Additional assistance – including homework solutions, links to the CPM textbook resources, and more is available at:
rhsjetmoremath.pbworks.com
Chapter Outline:
Section 4.1 The Tangent Ratio
Students will investigate the relationship between the slope of a line and the slope angle. The slope ratio will be used
to find missing measurements of a right triangle and to solve real world problems.
Section 5.1 Trigonometry
Students will extend their understanding of trigonometric ratios to include sine, cosine, and inverse trigonometric
functions and will use these tools to find missing measurements in right triangles.
Section 5.2 Special Right Triangles
Students will apply the Pythagorean Theorem and similar triangles to find patterns in special right triangles, such as
30  60  90 and 45  45  90 triangles and those with side lengths that are Pythagorean Triples.
Section 5.3 Completing the Triangle Toolkit
Once students investigate all of the types of information that can be given about a triangle (Lesson 5.3.1), they will
focus on developing tools to find missing side lengths and angle measures in non-right triangles.
Math Notes/ Tool Kit Entries – You are to copy these down or summarize on notecards
Slope and Angle Notation
Slope Ratios and Angles
Tangent Ratio
Trigonometric Ratios
Inverse Trigonometry
Rationalizing a Denominator
Special Right Triangles
Law of Sines
Law of Cosines
Vocabulary:
Slope angle
Visualize
Opposite leg
Clinometer
Sine ratio
Counterexample
Trigonometry
Tangent Ratio
Adjacent leg
Cosine ratio
Exact answer/Approximate answer
Inverse trigonometric functions
sin 1 ,cos1 , tan 1
30  60  90 triangle
Pythagorean Triples
Law of Cosines
45  45  90 triangle
Law of Sines
Ambiguous Triangles
Learning Logs Chapter 4 #24, 35
Learning Logs Chapter 5 #15, 25, 45, 66, and, 78