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.