Download Bundle 4 Geometry - East Allen County Schools

EAST ALLEN COUNTY SCHOOLS
Bundle 4
Geometry
Trigonometry
Big Idea: Surveyor
Enduring Understandings
Essential Questions
Area of a retular polygon can be found by knowing the length of the side and the
number of sides.
Right triangles can be used to find the length of sides and angle measures.
Basic trigonometry functions can be used to determine missing parts of triangles.
Area of scalene triangles can be determined through the use of trigonmetry
functions.
CC/Learning Targets
G.SRT.6
G.SRT.7
G.SRT.8
G.SRT.9
G.SRT.10
G.SRT.11
How can similar right triangles be used to define basic trigonometry functions?
How can the height and distance of objects that are not measureable be
determined?
How is the area of a regular polygon determined?
What are the special relationships of angles and sides in triangles?
Core Vocabulary
Links to Technology
cosine
hypotenuse
regular polygon
sine
tangent
Bundle Performance Task(s)
Each member of your group will be required to design one putt-putt hole for a miniature golf course. Your design must have at least one obstacle and a bank shot or
two obstacles for the path of the ball from the tee to the hole. Your project will need to include the following:
• A scale drawing of each hole
• A model of one hole (the group will vote on the hole to make as a model, use a shoe box, wood, Styrofoam whatever works best)
• Calculate area and perimeter
• Indicate the scale
One member of your group will be responsible for the design of the model, marketing, accounting and technical support (make a power point).
Geometry
Bundle 4
Quarter 2
Nov.-Dec.
Geometry
CC/Learning Targets
G.SRT.6
(G.5.3a-d)
(G.5.4a,b,e)
(G.5.5a-b)
(G.5.6b)
Understand that by similarity, side
ratios in right triangles are properties of
the angles in the triangle, leading to
definitions of trigonometric ratios for
acute angles.
G.SRT.7
(G.5.3a-d)
(G.5.4a)
(G.5.5a-b)
(G.5.6b)
Explain and use the relationship
between the sine and cosine of
complementary angles.
G.SRT.8
(G.5.1b)
(G.5.3a-d)
(G.5.4b)
(G.5.6a-b)
Use trigonometric ratios and the
Pythagorean Theorem to solve right
triangles in applied problems.
G.SRT.9
(G.4.7d)
(G.5.2a)
Derive the formula A = 1/2 ab sin(C) for
the area of a triangle by drawing an
auxiliary line from a vertex
perpendicular to the opposite side.
Bundle 4
Resource of Ideas
-iTunesU, OnTrack for College Readiness: Trigonometry
-Khan 45-45-90 Triangle
-Khan 30-60-90 Proof
-Khan 30-60-90 Application
-Prentice Hall Mathematics
Lessons 7.3, 7.5, 9.1, 9.2, 9.3, 9.5
-iBook Prentice Hall Geometry
Lessons 8.1, 8.3
-Sine and Cosine of Complementary Angles relationship
-Prentice Hall Mathematics
Lessons 9.1, 9.2, 9.3, 9.5
-iBook Prentice Hall Geometry
Lesson 8.3
-Khan Right Triangles application
-Prentice Hall Mathematics
Lessons 7.3, 7.5, 9.3, 9.5
-iBook Prentice Hall Geometry
Lessons 8.2-8.4
-Using Sine to Calculate the Area of a Triangle
-Khan Heron's Formula part 1
-Khan Heron's Formula part 2
-Prentice Hall Mathematics
Lesson 7.3
-iBook Prentice Hall Geometry
Lesson 10.5
Evidence of Learning
-Homework
-Quiz
-Nearpod
-Journal
-Class Discussion
-White Boards
-Homework
-Entrance/Exit Ticket
-Quiz
-Journal
-Homework
-Quiz/Test
-Flip Chart
-Journal
-Journal
-Worksheet
-Class Discussion
Geometry
G.SRT.10
(G.5.4b)
(G.8.8a)
G.SRT.11
(G.5.4b)
Prove the Laws of Sines and Cosines
and use them to solve problems.
Understand and apply the Law of Sines
and the Law of Cosines to find
unknown measurements in right and
non-right triangles (e.g., surveying
problems, resultant forces).
Correlating CC/Learning Targets
G.CO.1
G.CO.7
G.CO.9
G.CO.10
G.CO.13
G.SRT.3
G.SRT.4
Bundle 4
-Law of Sine
-Law of Cosines
-Journal
-Homework
-Proof
-Class Discussion
-Prentice Hall Mathematics
Lesson 6.7
-iBook Prentice Hall Geometry
Lessons 8.5, 8.6
-Comparing Law of Sines and Cosine
-Worksheet
-Quiz/Test
-Small Group Discussion
-Prentice Hall Mathematics
Lesson 10.5 (extension page 565)
-iBook Prentice Hall Geometry
Lessons 8.5, 8.6
Teacher Notes
All embedded apps in this curriculum are free.
iTunesU, OnTRACK for College Readiness Trigonometry Lesson