Reflection: Student Grouping Solids of Revolution - Section 1: Visualizing Solids of Revolution

 

Before showing the demonstration of the Solid of Revolution, I had asked my students to envision the solid that would be created if a right triangle had one of its legs positioned on the x-axis and was then rotated 360 degrees around the x-axis.

I was shocked to see that some of my highest performing students were the ones who were most confounded by this task. I realized that these students had great algebraic and logical thinking skills, but they really struggled to visualize and reason spatially. At first I thought it was just a hitch, but then I found that even when I gave a fairly thorough explanation of what the figure would look like, some still couldn't grasp it. It wasn't until I actually cut out a piece of triangular paper and asked them to imagine it spinning rapidly around the x-axis that it began to click.

This made me realize that different students reason well in different ways. It's made me think of how I might group students with different strengths so that their strengths can complement each other in situations like this.

  One student's strength is another student's weakness
  Student Grouping: One student's strength is another student's weakness
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Solids of Revolution

Unit 11: Measurement and Dimension
Lesson 5 of 6

Objective: SWBAT visualize 3-D solids of revolution and find their volumes

Big Idea: Close Encounters of the Third Dimension...In this lesson, students see 2-D figures transform into 3-D solids.

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