Reflection: High Quality Task Step Into the 3rd Dimension - Section 3: Practice/Homework and Exit Ticket

 

In this lesson's exit ticket, students were required to determine the radius of a cylinder given information about a cone with the same volume.  This is a challenging and higher-level question and asks students to have precise knowledge about each 3-dimensional shape and each formula.  You may want to leave 5 minutes, if not longer, at the end of class for this question!

The following example shows one common misconception that many of my students had:  Student Work #1.  Many students simply divided the radius by three since the ratio of the volume of a cone to cylinder is 1:3.  However, other students found the volume either plugged in for the radius or tried to set the two volume formulas equal to each other.  You can see examples of these here: Student Work #2 and Student Work #3.

The next day, we revisited this question in class and looked at students' work to understand how to correctly solve this problem. 

  High Quality Task: Higher Level Thinking in Exit Tickets
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Step Into the 3rd Dimension

Unit 9: 3-D Shapes and Volume
Lesson 2 of 4

Objective: Students will be able to watch Simpsons' video and derive volume formulas.

Big Idea: Students will watch a Simpson’s video to introduce the 3rd dimension and will derive formulas for volume of cylinder and cone.

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4 teachers like this lesson
Subject(s):
Math, Geometry, 10th grade
  65 minutes
walking image step into the third dimension image
 
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