- Tell the students that they are free to design the plate however they would like as long as they label the major
arcs and the minor arcs. - They also need to figure out the measure of one of the arcs and explain how they completed this task.
- Allow time for the students to share their work when finished.
III.TechnologyIntegration
- Have students go to http://www.brittanica.com the encyclopedia Brittanica’s website and search for Eratosthenes of
Cyrene. - Have them research how he used arcs to figure out the circumference of the earth.
- This may be challenging for the students to understand, so you may want to either allow them to work in small
groups or to discuss this as a whole class. - Begin by having them take notes on their own, then begin the discussion.
IV.NotesonAssessment
- Assess each plate design.
- Is it creative?
- Does it use the concepts of chords and arcs?
- Are the major and minor arcs labeled?
- Did the students figure out the measure of one of the arcs?
- Is the work written out and explained?
- Provide students with comments/feedback on their work.
Chords
I.SectionObjectives
- Find the lengths of chords in a circle.
- Find the measure of arcs in a circle.
II.Cross-curricular-Archimedes
- Use the image and information at the following website.
- Display this image for the students to see.
- This is Figure 09.05.01
- Now have the students copy this image on a piece of paper.
- In small groups, the students need to use this image to prove that the sum of the intercepted opposite arcs is
equal. - Students can use the text to refer back to the information that they have learned.
- They need to write five statements that demonstrate that this is a true statement.
- Students should be prepared to present their findings.
III.TechnologyIntegration
- Begin with this statement, “It could be said that a spoke is the chord of a wheel.”
- Use different wheel designs to demonstrate how this is true or untrue.
- You may use a drawing program to draw and design support for your answer.
- You may also use a collection of images to support your answer.
Chapter 3. Geometry TE - Enrichment