Welcome to Honors Geometry! Solon High School 1 Mrs. Kristina Klouda • • Kent State University - BS in Education Cleveland State University - Masters in Educational Technology 2 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 3 Structure of the class Honors Geometry Textbook paper/pencil work Constructions compass/straight-edge Technology Geometer's Sketchpad 4 Example of student work KF = 1.47 inches Area FAK = 0.63 inches 2 Area FBK = 0.63 inches 2 CK = 2.94 inches Area DAK = 0.63 inches 2 Area KBE = 0.63 inches 2 Area DKC = 0.63 inches 2 Area KEC = 0.63 inches 2 CK = 2.00 KF A DK = 0.93 inches KB = 1.87 inches D KB = 2.00 DK F EK = 0.77 inches KA = 1.54 inches centroid K C E KA = 2.00 EK B 5 Connections to the real world Class examples Practice problems Projects Miniature Golf Paint that Pole! 6 Miniature Golf Project Above: Army Men At right: The Jungle 7 Miniature Golf Project Above: Klouda’s Kourt At left: Candyland 8 SAMPLE STUDENT WORK- PAINT THAT POLE! 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. 9 SAMPLE STUDENT WORK-PAINT THAT POLE! Solution to Trigonometric Problem 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) 10 Steps for Success Preparation Attendance Participation Independent practice Collaboration Communication 11 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 12 Communication 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. Voice mail: 349-7757 ext. 5389 Email: kklouda@solonboe.org 13