Students will learn how to identify increasing, decreasing, and constant intervals in step functions. They'll also be asked for the slope of various intervals. For example, is the graph initially increasing, decreasing, or constant? What's the slope between \(x = 3\) and \(x = 5?\)

Interpreting a graph example by Khan Academy

Interpreting graphs of functions by Khan Academy

Next, give your students these challenges:

- Staircase Sum by NRICH
- Our Sports by NRICH
- Four Go by NRICH

Conclude by leading this investigation:

Gozen – factorization game

by MathPickle