An ongoing journey to better understand myself and math education from a global perspective.

Conversions and Comparisons

Convert the angles 30, 45, 90, and 135 degrees into radians. Can you develop a formula that will simply allow you to plug in the degrees and get radians?

Similar to number one, convert π/6, 3π/2, 5π/4, and 2π radians into degrees and develop a formula for this conversion.

A person begins to walk around a circular garden with radius 10 meters. If they travel 120 degrees around the garden’s circumference. How far have they walked? What if they traveled 225 degrees? 450 degrees? Have you developed a technique for doing this quickly?

When deciding who will reach a destination first, distance may only be one factor. What else may apply? Give another Three-Act Math task a try: http://threeacts.mrmeyer.com/tacocart/. Include a proof of your work to the sequels.