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In this lesson, students have to find a solution to a problem where the unknowns must be non-negative integers.
This constraint means that the initial problem, which may appear to be quite open, in fact has a unique solution.
Students have the opportunity to consider related Diophantine equations and determine systematically whether they have one solution, more than one solution or no solutions.
Arriving at a point where they are sure about this allows students to see the power of mathematical thinking.
Many real world problems require integer solutions. This adds an interesting constraint to students’ equation solving.
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