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A Multi-Grade Math Activity

 Here is a hands-on activity that allows students to
explore a number of concepts, depending on the
grade you teach:
 Ratios
 Circumference and diameter
 Scatterplots
 Linear Functions
 Slope
Overview

 If your class is planning a trip to the pumpkin patch,
gather as many different size pumpkins.
 Measuring tape
 Two-column chart for gathering data
 Larger poster for displaying data graph
 Optional: Graphing calculator or graphing software
Materials

Procedure
Step 1
Have students measure
the diameter of the
pumpkin. Have them find
the widest length across
the pumpkin.

Procedure
Step 2
Have students measure
the circumference of the
pumpkin. Have them find
the widest length around
the pumpkin.

Procedure
Step 3
Have students combine
their measurements into
one data table. Make sure
they enter the correct data
in the appropriate column.
Make sure their
measurements are in the
same units.
Diameter (in.) Circumference (in.)

Procedure
Step 4
Graph the data as a
scatterplot. If your class
hasn’t covered this topic
yet, simply graph the data
for the students or use a
graphing calculator or
spreadsheet. Choose an
appropriate scale.

Procedure
Step 5
Try to find the line of best
fit either visually or
quantitatively. Ask
students to interpret what
the linear graph means.

Conclusion
The ratio of
Circumference to
Diameter is π, which also
happens to be the slope of
this line:
C = πd
The secret to the Pumpkin
π is in the ratio.

Optional
Complete the activity with
some real pumpkin pie for
students to share!

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Pumpkin π: A Multi-Grade Math Activity

  • 2.   Here is a hands-on activity that allows students to explore a number of concepts, depending on the grade you teach:  Ratios  Circumference and diameter  Scatterplots  Linear Functions  Slope Overview
  • 3.   If your class is planning a trip to the pumpkin patch, gather as many different size pumpkins.  Measuring tape  Two-column chart for gathering data  Larger poster for displaying data graph  Optional: Graphing calculator or graphing software Materials
  • 4.  Procedure Step 1 Have students measure the diameter of the pumpkin. Have them find the widest length across the pumpkin.
  • 5.  Procedure Step 2 Have students measure the circumference of the pumpkin. Have them find the widest length around the pumpkin.
  • 6.  Procedure Step 3 Have students combine their measurements into one data table. Make sure they enter the correct data in the appropriate column. Make sure their measurements are in the same units. Diameter (in.) Circumference (in.)
  • 7.  Procedure Step 4 Graph the data as a scatterplot. If your class hasn’t covered this topic yet, simply graph the data for the students or use a graphing calculator or spreadsheet. Choose an appropriate scale.
  • 8.  Procedure Step 5 Try to find the line of best fit either visually or quantitatively. Ask students to interpret what the linear graph means.
  • 9.  Conclusion The ratio of Circumference to Diameter is π, which also happens to be the slope of this line: C = πd The secret to the Pumpkin π is in the ratio.
  • 10.  Optional Complete the activity with some real pumpkin pie for students to share!