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Why does C=2(pi)r

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Circle Investigations Items: Items: Bike Tire, Cookies, fris-bee, baseball, watch, key ring, ring…..etc Bike Tire, Cookies, fris-bee, baseball, watch, key ring, ring…..etc Ruler, pencil, and paper Ruler, pencil, and paper Data recording sheet Data recording sheet Computer Lab (Fathom) Computer Lab (Fathom)

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Objectives Mr. Yates wants to know why in the world that C=2(pi)r? Mr. Yates wants to know why in the world that C=2(pi)r? You and your group must present an investigation plan, data recordings, and a written explanation to the question. You and your group must present an investigation plan, data recordings, and a written explanation to the question.

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Measurement Your group must bring in a variety of shapes that are circles of different sizes. Your group must bring in a variety of shapes that are circles of different sizes. In class your group will make measurements of all the different circles. In class your group will make measurements of all the different circles. On the data sheet, you must record the circumference, diameter, and the radius of each circle On the data sheet, you must record the circumference, diameter, and the radius of each circle

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Examples

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Data Analysis Use fathom to plot all the data you have recorded. Use fathom to plot all the data you have recorded. Construct graphs of all your variables Construct graphs of all your variables Construct graphs of multiple variables as well Construct graphs of multiple variables as well Focus on the following relationships with the graphs: Focus on the following relationships with the graphs: x:Diam y:Circ x:rad y:Circ x:Rad y:Diam x:Diam y:Circ x:rad y:Circ x:Rad y:Diam Write down all your observations of the relationships between the different variables. Write down all your observations of the relationships between the different variables.

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Examples

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Examples

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Conclusions Form multiple conclusions from your data Form multiple conclusions from your data Write a written explanation of your groups initial predictions, data recordings, and Fathom work. Write a written explanation of your groups initial predictions, data recordings, and Fathom work. Be sure that your groups explains the regression line equations and the value of the slope for each relation Be sure that your groups explains the regression line equations and the value of the slope for each relation Make a final analysis Make a final analysis Does it all make sense Does it all make sense

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TEACHER GRAPHS

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Investigating circles. Draw 6 circles, each with a different radius, e.g. 2cm, 3cm, 4cm, 5cm, 6cm, 7cm. Measure the diameter and radius of each circle.

Investigating circles. Draw 6 circles, each with a different radius, e.g. 2cm, 3cm, 4cm, 5cm, 6cm, 7cm. Measure the diameter and radius of each circle.

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