Circles - circumference
(This is an explanation of each part of the learning center which we call the Task Card)
Flipcam Video
(e.g. Photostory, Movie Maker, Wiki, Flipcam Video)
Center 1
Developed by: Julie Beville
Barbe High School
GLEs:
GEOMETRY – GLE#13. Solve problems and determine measurements involving chords, radii, arcs, angles, secants, and
tangents of a circle. (G-2-H)
Introduction:
You have learned how to identify and use parts of circles. With this information, you are able to solve problems
involving the circumference of a circle. In this center, you will apply that knowledge by creating a video with your team
members that shows the relationship between the circumference and diameter of the circle.
Essential Questions:
1. What is the relationship between the circumference and diameter of a circle?
2. How does one find the circumference given the radius?
3. How does one find the diameter given the circumference?
Task:
You are an amusement park ride developer. Your job is to design Ferris wheels that meet the specifications of the
park owners. You and your team are to prepare a video that reveals your designs while illustrating the methods
used to calculate the radius, diameter, and circumference of each design.
Process:
To accomplish this task, you and your team will be assigned the following roles:
Team member 1: Design and narrate for Ferris Wheel one.
Team member 2: Design and narrate for Ferris Wheel two.
Team member 3: Design and narrate for Ferris Wheel three.
Team member 4: Video and movie maker.
You and your team will complete the following step-by-step instructions. You will narrate your work while being videoed
by member 4 using the flip camera:
1.
2.
3.
4.
Using Geometer’s Sketchpad, design / sketch a Ferris wheel. (Each of the three wheels must be a different size.)
Take measurements (radius, diameter, and circumference) of each wheel to the nearest millimeter.
Record measurements on the data table in Handout One.
Compute the value of the circumference divided by the diameter (C/d) to the nearest hundredth and record in
the last column of the table.
5. Answer specified member questions in Handout One.
6. Member 4 will assemble the video in Movie Maker making certain that each design is covered. The video should
include each everything each member does from sketching the wheel design to completing his part of the
worksheet.
7. The team will review the final project for accuracy. . Be sure to include a Title Page at the beginning of the video
and a Credits Page at the end so that all team members are acknowledged for their work.
8. Save your video project using team number plus the hour (ex: one_3rdHour)
9. Save the final project to your student folder on the desktop then, email it to the teacher.
Evaluation:
See attached rubric.
Reflective Question or Constructive Response:
Upon completion of this learning center, you should have learned to:
1. Compute the circumference of a circle given the diameter.
2. Compute the diameter of a circle given the circumference.
3. Recognize that pi is the ratio of the circumference of a circle to its diameter.
Solve the following problem.
A beautiful arch over the door of the parish courthouse is 200 centimenters wide and 50 centimeters high.
a) Find the radius of the circle that contains the arch.
b) Find the diameter of the circle that contains the arch.
Place the response to your reflective question or constructed response in an email to your teacher.
Adapted from resources found at the following website
http://webquest.sdsu.edu/templates/lesson-template1.htm
Based on a template from The WebQuest Page