For this activity, I design these stackable, concentric circles.

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Presentation transcript:

For this activity, I design these stackable, concentric circles. 7” diameter 6” diameter 5” diameter 3/8” center cutout 4” diameter 3” diameter For this activity, I design these stackable, concentric circles. A local cabinetmaker made 6 sets for my classroom. You can use round household objects, too. at least 3/4” height © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.GMD.1)

Find a group of 4. Each group needs: 1. piece of graph paper 2. set of concentric circles 3. painter’s tape 4. meter stick 5. scissors 6. markers © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.GMD.1)

red orange yellow green blue © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.GMD.1)

red orange yellow green blue 7.6 cm 10.2 cm 12.7 cm 15.2 cm 17.8 cm © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.GMD.1)

circumference diameter © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.GMD.1)

(0,0) There will not be a circumference relationship between C & d without a diameter. m ≈ 3.08 relationship between C & d 3.14 - 3.08 = 0.06 y = Cx d © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.GMD.1)

rise (y-values) over run (x-values) C = 2πr = π d 2r Circumference diameter rise (y-values) over run (x-values) © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.GMD.1)

Summary Questions What does it mean to say that π is a ratio? Does the ratio of circumference to diameter vary depending on the size of the circle or the unit of measurement (in., cm)? Explain. © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.GMD.1)