First, students will learn how to find the area of an arch of a cycloid.

Find the Area of an Arch of a Cycloid by Michel van Biezen

Next, students will learn how to find the length of an arch of a cycloid.

Find the Length of an Arch of a Cycloid by Michel van Biezen

Conclude by giving your students these challenges:

- How Much Can We Spend? by NRICH
- Perfectly Square by NRICH
- Salinon by NRICH
- Take Ten Sticks by NRICH
- A Sailing Ship