Why does C=2(Why does C=2(pi)pi)rr

Circle InvestigationsCircle Investigations

Items: Items: Bike Tire, Cookies, fris-bee, baseball, Bike Tire, Cookies, fris-bee, baseball,

watch, key ring, ring…..etcwatch, key ring, ring…..etc Ruler, pencil, and paperRuler, pencil, and paper Data recording sheetData recording sheet Computer Lab (Fathom)Computer Lab (Fathom)

ObjectivesObjectives

Mr. Yates wants to know why in the Mr. Yates wants to know why in the world that C=2(world that C=2(pipi)r?)r?

You and your group must present an You and your group must present an investigation plan, data recordings, investigation plan, data recordings, and a written explanation to the and a written explanation to the question. question.

MeasurementMeasurement

Your group must bring in a variety of Your group must bring in a variety of shapes that are circles of different shapes that are circles of different sizes.sizes.

In class your group will make In class your group will make measurements of all the different measurements of all the different circles.circles.

On the data sheet, you must record On the data sheet, you must record the circumference, diameter, and the the circumference, diameter, and the radius of each circleradius of each circle

ExamplesExamples

Data AnalysisData Analysis

Use fathom to plot all the data you have Use fathom to plot all the data you have recorded. recorded.

Construct graphs of all your variablesConstruct graphs of all your variables Construct graphs of multiple variables as wellConstruct graphs of multiple variables as well Focus on the following relationships with the Focus on the following relationships with the

graphs: 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 Write down all your observations of the relationships between the different variables. relationships between the different variables.

ExamplesExamples

ExamplesExamples

ConclusionsConclusions

Form multiple conclusions from your Form multiple conclusions from your datadata

Write a written explanation of your Write a written explanation of your groups initial predictions, data groups initial predictions, data recordings, and Fathom work.recordings, and Fathom work.

Be sure that your groups explains the Be sure that your groups explains the regression line equations and the regression line equations and the value of the slope for each relationvalue of the slope for each relation

Make a final analysisMake a final analysis Does it all make senseDoes it all make sense

TEACHER GRAPHSTEACHER GRAPHS