Transcript Andy`s Presentation

Basic Trigonometry Ratios
Andrew McCandless
FINAL PRESENTATION
Brawley Union High School, Brawley
CTAP 310 Teaching with Technology
Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
FINAL PRESENTATION
Using Trig to Solve Rt. Triangles
CTAP 310 Teaching with Technology
Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
Focus Problem: Solving Using Proportions
38
10
At four in the afternoon a man who is 6 feet tall casts a shadow ten feet in 6length. If the tree casts a
shadow of 38 feet, how tall is the tree?
Use a proportion to solve this problem.
(Question: could you solve this problem without using any shadows, or measuring the tree’s height?)
CTAP 310 Teaching with Technology
FINAL PRESENTATION
How Tall is the Tree?
The Shadow Knows!
Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
FINAL PRESENTATION
But how do you find the height of a
building using only Right Triangles?
CTAP 310 Teaching with Technology
Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
• Duration:
2 to 3 class periods
• Main Contents:
3 worksheets and Pre/Post Test
• Interactive Tutorial: Math Advantage 2000
• Internet Searching for additional Trig information
• Charting Data using Clinometer to find elevation
• Presenting Lesson on Microsoft PowerPoint
CTAP 310 Teaching with Technology
FINAL PRESENTATION
THE LESSON:
Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
19.0 Students use trigonometric functions to solve for
an unknown length of a side of a right triangle, given
an angle and a length of a side.
CTAP 310 Teaching with Technology
FINAL PRESENTATION
California State Standards - Geometry
Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
Objective # 1
Students will memorize the SIN, COS, and
TAN ratios for right triangles.
Objective # 2
Students will analyze problems and use the
correct SIN, COS, TAN ratios to solve for
missing parts of a right triangle.
Students will use the Internet to gain
additional information on the history and
uses of trigonometry.
Students will build Clinometer to apply
what they have learned in real world
problems.
Objective # 3
Objective # 4
CTAP 310 Teaching with Technology
FINAL PRESENTATION
My Unit Objectives
Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
Fifth Period Geometry Class
Test Scores
120
100
Pre-Test Score
60
Post-Test Score
40
20
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Student Number
CTAP 310 Teaching with Technology
FINAL PRESENTATION
Percent Correct
80
Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
Trigonometry Check List
Name __________________________________ Period: _______ Date: _______
1.___ Know and explain the definitions of cosine, sine, and tangent
2.___ Use your calculator to find trigonometric values for given angle measures.
3.___ Use your calculator to find angle measures when given trigonometric values.
4.___ Find lengths of two sides of a right triangle when given one acute angle and one side.
5.___ Find the measures of the acute angles of a right triangle given the lengths of two sides.
6.___ Solve word problems involving angle of elevation and angle of depression.
7.___ Use trigonometry to solve word problems involving right triangles.
CTAP 310 Teaching with Technology
FINAL PRESENTATION
When you finish you studies of trigonometry, you should be able to:
Geometry: Basic Trigonometry Ratios & Right Triangles
FINAL PRESENTATION
MaryAnn Archer, Brawley Union High School
PowerPoint
Presentation to
help students learn
and remember key
ratios.
CTAP 310 Teaching with Technology
Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
OPP
SIN=
HYP
OPP
TAN=
ADJ
ADJ
COS=
HYP
CTAP 310 Teaching with Technology
FINAL PRESENTATION
SohCahToa
Geometry: Basic Trigonometry Ratios & Right Triangles
PowerPoint presentation on applied
trigonometry.
CTAP 310 Teaching with Technology
FINAL PRESENTATION
MaryAnn Archer, Brawley Union High School
Geometry: Basic Trigonometry Ratios & Right Triangles
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Web Quest Form
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Name: __________________________Date: ______ Period: ______
Objective: To find out more about Trigonometry by researching web
sites related to math.
Where to Look: Geometry Reference Site:
www.math.rice.edu/~Lanius/geom/index.html
Dave’s Short Trig Course:
www.aleph0.clarku.edu/~djoyce/java/trig/index.html
Procedure: Visit each site and find two or three ideas or concepts that
interest you. Identify how they relate to our lesson on SIN, COS and
TAN and right triangles.
Other Site Addresses:
Observations :
Conclusions: How have these sites helped you? What did you
learn?
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CTAP 310 Teaching with Technology
FINAL PRESENTATION
MaryAnn Archer, Brawley Union High School
Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
What Students Learned
Reviewed terms for parts of right
triangle
 Learned three key trig ratios
 Searching Internet
 Solving complex application problems
involving trigonometry functions
 How to build measuring device
“clinometer”
CTAP 310 Teaching with Technology
FINAL PRESENTATION

Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
WHAT I LEARNED
Need more time for calculator practice
 Students love to see how math applies to
real life problems
 Students loved PowerPoint presentations
 Finding quality material on Internet takes
time!!
 Pre and Post Testing was really important!!
CTAP 310 Teaching with Technology
FINAL PRESENTATION

Geometry: Basic Trigonometry Ratios & Right Triangles
MaryAnn Archer, Brawley Union High School
They Did a Great Job!!
CTAP 310 Teaching with Technology
FINAL PRESENTATION
5th Period Geometry Class 2002