## 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

# Solids of Revolution

Unit 11: Measurement and Dimension
Lesson 5 of 6

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

Print Lesson
Standards:
Subject(s):
70 minutes

### Anthony Carruthers

##### Similar Lessons

###### Pondering Parabolas
12th Grade Math » Conic Sections
Big Idea: Use a variety of tools for parabola problems.
Favorites(1)
Resources(8)
Troy, MI
Environment: Suburban

###### Cutting Conics
12th Grade Math » Conic Sections
Big Idea: As an introduction to this unit, students actually cut cones to discover the four conic sections.
Favorites(6)
Resources(25)
Phoenix, AZ
Environment: Urban

###### Moon Shadows, Cones, and Pyramids
Geometry » Volume of Cones, Pyramids, and Spheres
Big Idea: Students learn about the properties of pyramids and cones as they analyze the geometry of a solar eclipse.
Favorites(7)
Resources(25)
Ault, CO
Environment: Rural