IM Geo.5.1 Lesson: Solids of Rotation
Which one doesn’t belong?
A B 
C D 
Explore the figure you chose or were assigned in the applet, unchecking the other three boxes. Do not move the slider until after you answer the first question.
Do not move the slider. Notice that the Surface command for each figure specifies which axis will be used to rotate the figures. What do you imagine the shape will look like when you rotate the figure using the slider?
Describe any interesting features of the shape.
Move the slider. Describe the solid that is traced out as you rotate the shape around its axis.
Use the Rotate 3D Graphics tool to see
the shape from other perspectives.
Predict what solids will be formed by the shapes of other members of your group. Confirm by selecting those shapes and using the sliders to rotate the figures around the appropriate axis.
Graph y=-x+3 from x=1 to x=3. Sketch the solid of rotation generated by rotating this line using the y-axis as the axis of rotation.
What figure is made?
The object being rotated here is a line, not a two-dimensional object like in the lesson. How does this affect the result of the rotation?
Check the responses by showing the two-dimensional shape with the check box and using the slider.
Switch roles with the other team and create a new shape.Students in Team A: Students in Team B: Create a new three-dimensional figure
using the applet.
Try to determine the two-dimensional shape used
to create the three-dimensional figure.