How much material is in a bead? Class members utilize volume formulas to determine the amount of material in a bead. The goal of the assessment is to show that the amount of material left in a bead is the same for all beads with a given length of hole. Individuals show that the volume of the bead is independent of the radius but depends upon the length of the hole.

Concepts

calculating cylinder volume, volume, volume formulas, volume of cylinders, spheres, volume of spheres, cylinders, trigonometric ratios

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Additional Tags

math

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Instructional Ideas

• Bring in different-sized beads with the same hole length to show the class

Classroom Considerations

• Pupils should know the formula to find the volume of a cylinder and a sphere
• The class should be familiar with trigonometric ratios

Pros

• The problem provides a formula that will be helpful in finding the solution
• The answer key shows the steps needed to arrive at the solution
• Resource downloads as an editable copy

Cons

• None

Common Core

HSG-GMD.A.3 HSG-MG.A.1 MP4 MP6