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6.3 Learning about Length, Perimeter, Area, and Volume of Similar Objects Using Interactive Figures

Activities such as these can help students learn about geometric relationships among similar objects, as described in the Geometry Standard.

The following links to an updated version of the e-example. 

6-3-50x50.jpg  Investigating Connections between Measurements and Scale Factors of Similar Figures (6.3)

Using this two-part e-example helps students find the relationships that exist within the ratio of perimeter and area (or surface area and volume) of two similar figures. Options for variability include changing the scale factor and type of figure.


The e-example below contains the original applet which conforms more closely to the pointers in the book.

This two-part example illustrates how students can learn about the length, perimeter, area, and volume of similar objects using dynamic figures.                

6-3_SideLengthArea.gif  Side Length and Area of Similar Figures  (6.3.1)

The user can manipulate the side lengths of one of two similar rectangles and the scale factor to learn about how the side lengths, perimeters, and areas of the two rectangles are related.
6-3_SideLengthVolume.gif  Side Length, Volume, and Surface Area of Similar Solids  (6.3.2)

The user can manipulate the scale factor that links two three-dimensional rectangular prisms and learn about the relationships among edge lengths, surface areas, and volumes.


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