The legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To further refine their skills, learners find an equation that models the situation.

Concepts

exponential decay, exponential growth, exponential equations, differential equations, differential calculus, integrals, indefinite integrals

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Additional Tags

math

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Instructional Ideas

• Use as an introduction to solving differential equations that result in exponential equations
• Provide a mini-lesson on creating and solving a differential equation that represents the situation

Classroom Considerations

• Requires the user to sign up for a free login account

Pros

• Allows the individuals to view the correct answer if the incorrect answer is chosen
• The additional material provides more examples and problems

Cons

• None