Students will learn two skills. The first is how to rationalize the denominator. The second is how to rationalize the numerator. Conclude by giving your students this challenge:
In the figure below, two circles have been tucked into a right angle. The radius of the large circle is \(1.\) What's the radius of the small circle? Simplify your answer as much as possible.
Here's the solution.
Next, give your students these challenges:
Conclude by leading this investigation:
Dot to Dot Middle Path Puzzles
by MathPickle