Students will learn the definition of each of the six basic hyperbolic functions, and see a graph of each. Then they'll learn what the most important hyperbolic identities are. As a point of interest, students should be introduced to catenaries, which are the shape made by hanging rope or chain. Here's an excellent lesson on all this.
Conclude by giving your students these challenges:
- Enclosing Squares by NRICH
- Please Explain by NRICH
- 100th Day Potato Challenge by Pierce School: Problem / Solution
Can you make this billiards trick shot? by Brilliant.org: To solve the last problem, break the diagonal into \(x\) and \(4\sqrt{2} - x,\) then setup an equation using similar triangles, then solve.
The perimeter of the square below is 8cm. Mentally determine the perimeter of the shaded region.

Here's the solution.