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Good Approximations

Solve quadratic equations and use continued fractions to find rational approximations to irrational numbers.

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There's a Limit

Explore the continued fraction: 2+3/(2+3/(2+3/2+...)) What do you notice when successive terms are taken? What happens to the terms if the fraction goes on indefinitely?

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Comparing Continued Fractions

Which of these continued fractions is bigger and why?