Good Approximations

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

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?

Comparing Continued Fractions

Which of these continued fractions is bigger and why?

Not Continued Fractions

Stage: 4 and 5 Challenge Level:

What is the integer part of $N$?