Education Technology

Geometry and Measurement

Activity Overview

Students learn to explore relationships between units of measure and objects to be measured. They develop an understanding of length, area, and volume.

Before the Activity

  • See the attached PDF file for detailed instructions for this activity
  • Print pages 47 - 62 from the attached PDF file
  • During the Activity

    Distribute the pages to the class

    Follow the activity procedure:
    Activity 1: Popcorn Container

  • Use a rectangular piece of paper and examine a cylinder made by joining the long sides and another cylinder made by joining the short sides
  • Calculate the volume of the two cylinders using the formulas for the circumference of a circle and the volume of a cylinder
  • Observe that though the surface area is the same the two cylinders have different volume

  • Activity 2: Hexaright
  • Draw six-sided hexagons on square centimeter graph paper, sides along the lines on the paper, adjacent sides being perpendicular, and with perimeters of 28 cm
  • Observe that the perimeter of the hexagon is the perimeter of the related rectangle
  • Find the area of the largest hexagon
  • Observe that the largest area is found by removing one square from the corner of a 7 x 7 square and is 48 square centimeter

  • Activity 3: Eggsactly
  • Use calipers to measure the length and width of eggs and record the data
  • Predict the length and width of a chicken egg
  • Plot the width and length data as a scatter plot
  • Use linear regression to find the line of best fit
  • Find the expression relating the length and width of the eggs
  • Use other elementary school activities to develop an understanding of measurement and geometry
  • After the Activity

    Review students results and re-teach concepts as necessary.