L5.1 - Solids of Rotation
Learning Intentions and Success Criteria
[color=#ff0000]We are learning to:[/color][br][list][*]Determine the two-dimensional shape that when rotated using a given axis generates a particular three-dimensional solid.[/*][*]Identify and describe (using words and other representations) the three-dimensional solid created by rotating a two-dimensional figure using a linear axis.[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]Draw the two-dimensional shape that creates a particular three-dimensional solid when rotated using a given axis.[/*][*]Identify the three-dimensional solid created by rotating a two-dimensional figure using a linear axis.[/*][/list]
1.1: Which One Doesn’t Belong: Solids
Which one doesn't belong? Explain.
1.2: Axis of Rotation
[color=#9900ff]Open BOOK - Geo.5.1 Solids of Rotation. Use the applet to follow the instructions below.[/color]
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.[br]1. 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.
2. 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.
3. 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.
1.3: From Three Dimensions to Two
[color=#9900ff]Use the applet to follow the instructions below.[/color]
Learning Intentions and Success Criteria
[color=#ff0000]We are learning to:[/color][br][list][*]Determine the two-dimensional shape that when rotated using a given axis generates a particular three-dimensional solid.[/*][*]Identify and describe (using words and other representations) the three-dimensional solid created by rotating a two-dimensional figure using a linear axis.[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]Draw the two-dimensional shape that creates a particular three-dimensional solid when rotated using a given axis.[/*][*]Identify the three-dimensional solid created by rotating a two-dimensional figure using a linear axis.[/*][/list]
