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Welcome to Honors Geometry!
Solon High School
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Mrs. Kristina Klouda
• Kent State University - BS in Education• Cleveland State University - Masters in Educational Technology
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Objectives To apply geometry to real world problems
To make connections between geometry and algebra
and extend this to other topics
To employ technology to solve problems
To learn in a cooperative setting
To communicate mathematics
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Structure of the class
T e x tb o okp a p e r/p e n cil w o rk
C o n s tru c tio nsco m pa ss/s tra ig h t-e d ge
T e ch no lo gyG e o m e te r's S ke tch p ad
H o n o rs G e om e try
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Example of student work
C
B
A
F
E
D
Kcentroid
KA = 1.54 inches
EK = 0.77 inches
KB = 1.87 inches
DK = 0.93 inches
CK = 2.94 inches
KF = 1.47 inches
KAEK = 2.00
KBDK = 2.00
Area KEC = 0.63 inches 2
Area KBE = 0.63 inches 2Area FBK = 0.63 inches 2
Area DKC = 0.63 inches 2
Area DAK = 0.63 inches 2
Area FAK = 0.63 inches 2
CKKF = 2.00
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Connections to the real world
Class examples Practice problems Projects
Miniature Golf Paint that Pole!
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Miniature Golf Project
Above: Army Men
At right: The Jungle
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Miniature Golf Project
Above: Klouda’s Kourt
At left: Candyland
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Sherwin Williams Paint Company has called upon the group Sherman Millions for help in renovating the SHS football stadium by painting its light poles. The dilemma is, they have no clue how much paint is needed to do so. Therefore, they recruited our aid to solve another unascertained surface area measurement.
SAMPLE STUDENT WORK- PAINT THAT POLE!
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Solution to Trigonometric Solution to Trigonometric ProblemProblem
Height of home side pole:
1. tan 28= x/y tan 28y=x 2. tan 25= x/y+10 tan25y+tan 25 (10)=x tan 25y+tan 25 (10)=tan 28y tan 25 (10)=.06540y 4.66308 = .06540y .06540 .06540 y = 71.30092
tan 28 (71.30092)=x ~ x = 37.91137 m + 1.53 m — height of person
39.44137 m - .42 m — base 39.02137 m HEIGHT OF HOME POLE = 39 m
Height of away side pole:
1. tan 27 = x/y tan 27y = x 2. tan 22= x/y+10 tan 22y + tan 22 (10) = x tan 22y + tan 22 (10) = tan 27y tan 22 (10)= .10550y 4.04026 = .10550y .10550 .10550 y = 38.29630
tan 27 (38.29630) = x ~ x = 19.51294 m + 1.53 m — height of person 21.04294 m HEIGHT OF AWAY POLE = 21 m
(see slide 3 for concepts used)
SAMPLE STUDENT WORK-PAINT THAT POLE!
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Steps for Success
Preparation Attendance Participation Independent practice Collaboration Communication
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Internet Information
On my page, you will find daily lessons, homework, upcoming tests and quizzes. To get to my page follow these steps:
1. Go to the Solon Schools web page www.solonschools.org
2. Choose Schools
3. Choose Solon High
4. Scroll down to my name (Kristina Klouda)
5. Choose “Calendar of Events” from the bottom
6. Choose the appropriate class
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Communication
Voice mail: 349-7757 ext. 5389
Email: [email protected]
Parent – Teacher communication is of utmost importance for student success. If at anytime you have a concern or question, please call or email me. I check my voicemail everyday. Please leave a number that I can reach you at during the school day. I also check email regularly.
