Students will learn the distinction between continuous and discrete functions. Students should also learn how to graph discrete functions, given the definition of a function and its domain. For example, if \(f(x) = 2x\) and the domain of \(f\) is \(\{-1, 0, 1, 2\},\) then \(f\) is a discrete function.

Next, give your students these challenges:

- Watch Your Feet by NRICH
- Escher Tessellations by NRICH
- Mathematics Mastery Conference 2020 by NRICH
- 2013 AMC 8, Problem 8
- 2019 AMC 8, Problem 6
- Friendship Graphs by Pierce School: Problem / Solution

Conclude by leading this investigation:

Aesop’s Urns (counting, division by 2, algebra, algorithm)

by MathPickle