Reflection: Trust and Respect Volume Formulas, Cavalieri's Principle, and 2-D Cross-Sections - Section 4: Exit Ticket: 2-D Cross Sections

 

After looking over my students’ work on this Check for Understanding, I created some strategic partnerships so that students could teach and learn from each other.  Some students struggled to make sense of the solid they could build from the cross-sections shown, mistaking the figure on the left to be a cylinder or even a sphere.  As I circulated the room, I could see students asking and answering questions, drawing out their ideas to try to make their confusion and clarification clear.  At the heart of this discussion was the notion that the two solids would have the same volume if each of the corresponding cross-sections had equal area.  I was reminded that students need to be able to process what they are learning in a variety of ways; talking out these ideas really seemed to create deeped understanding for some students. 

  Strategically Pairing Up Students to Push Their Thinking Further
  Trust and Respect: Strategically Pairing Up Students to Push Their Thinking Further
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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.

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1 teacher likes this lesson
Subject(s):
Math, Geometry, Measurement, modeling, space, shapes, Cavalieri's Principle, Differentiated Instruction
  80 minutes
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