Reflection: Problem-based Approaches Volume Formulas, Cavalieri's Principle, and 2-D Cross-Sections - Section 3: You Choose: Practice Thinking About Volume or Take it Further


In teaching the lesson to the next class, I was able to clarify the sphere volume task without lowering cognitive demand.  During lunch, I took pictures of the cross-sections of the cylinder-without-the-cone, which helped my next class of students make sense of the variables and how they related to each other.  I wanted to share these pictures because they were really powerful!

  Problem-based Approaches: A Better Way to See the Cylinder-Without-a-Cone Cross-Sections
Loading resource...

Volume Formulas, Cavalieri's Principle, and 2-D Cross-Sections

Unit 10: Geometric Measurement and Dimension
Lesson 11 of 14

Objective: Students will be able to identify the shapes of 2D cross-sections of 3D objects and use geometric shapes, their measures, and properties, to describe objects.

Big Idea: In a differentiated lesson based on student choice, students will be able to practice finding the volume of prisms or apply Cavalieri's Principle to determine the volume formula for a sphere.

  Print Lesson
1 teacher likes this lesson
Math, Geometry, Measurement, modeling, space, shapes, Cavalieri's Principle, Differentiated Instruction
  80 minutes
candy bar lesson image
Similar Lessons
Old and New Knowledge of Circles
12th Grade Math » Trigonometry: Circles
Big Idea: Students explore the idea that pi and the trig ratios are really just the same shoes on different feet.
Worcester, MA
Environment: Urban
James Dunseith
The Pyramid Stack (Part 1)
Geometry » Volume of Cones, Pyramids, and Spheres
Big Idea: Students use interactive geometry software to investigate the properties of pyramids and learn how many pyramids it takes to make a prism.
Ault, CO
Environment: Rural
Tom Chandler
Exploring Circumference, Area and Cavalieri's principle
Geometry » 3-D Shapes and Volume
Big Idea: Students will discover properties of circumference, area and Cavalieri's principle in stations.
Saratoga Springs, NY
Environment: Suburban
Stephanie Conklin
Something went wrong. See details for more info
Nothing to upload