In this activity, you will use the Finch to practice what you know about fractions. Start by writing a short program to make the Finch turn in a circle with one wheel at speed 0 and the other at speed 30. How many seconds does it take for the Finch to make exactly one circle?

Next, think about making the robot move a fraction of a circle. Which fraction do you think is bigger, or  ? Write down your prediction and your reasoning.

Calculate the number of seconds for the Finch to turn  of a circle. Then write a program to check your answer with the Finch.

Calculate the number of seconds for the Finch to turn  of a circle. Then write a program to check your answer with the Finch.

Which fraction is bigger,  or  ? Was your prediction correct?

For your next program, the Finch should make three smaller turns that make up one full circle. Each of the smaller turns must be of the circle. This program represents the problem shown below.

Solve the problem below, and write a Finch program to represent it.