- Solve problems involving externally tangent circles.
- Solve problems involving internally tangent circles.
- Common tangent
II.Cross-curricular-MadTeaParty
- Use the following images from Wikipedia on the Mad Tea Party.
- This is Figure 09.03.01
- http://www.en.wikipedia.org/wiki/Mad_Tea_Party
- Students can even complete the technology integration first to see some real pictures of the tea cups in action.
- Tell the students that their task is to draw the design of the Mad Tea Party using circles that are connected.
- The design of the Mad Tea Party consists of three small turntables, which rotate counter clock-wise, each
holding six teacups, within one large turntable, rotating clockwise. - Students are to draw this design and how they hypothesize that the circles are or are not connected.
- Do the students think that tangents play a role in this?
- Why or why not?
- Ask the students to write a short paragraph explaining their thinking about the ride.
III.TechnologyIntegration
- Have students complete a websearch for the Mad Tea Party at Disney World.
- Students will see images and can even see a film clip of the ride on youtube.
- Students can use this information to assist them in drawing the design of the ride.
IV.NotesonAssessment
- Assess student work.
- How did the students draw the design of the ride?
- What was the student’s hypothesis about tangents?
- Does the reasoning make sense?
- Provide students with comments on their work.
Arc Measures
I.SectionObjectives
- Measure central angles and arcs of circles.
- Find relationships between adjacent arcs.
- Find relationships between arcs and chords.
II.Cross-curricular-PlateDesign
- Use the image of the dinner plate with the stripes by Cynthia Rowley.
- This is Figure 09.04.01
- http://www.prontohome.com/product/whim-by-cynthia-rowley-melamine-p_1213285046
- Use this to show the students where there are arcs and chords.
- Then show them major and minor arcs as well.
- The assignment is for the students to design their own plate design using lines, chords and circles.
3.9. Circles