Learning goals: Teacher Facing Interpret fractional inputs for exponential functions in context. Understand that the growth (or decay) factor for an input interval of $\frac{1}{n}$ is $b^{\frac{1}{n}}$ and not $\frac{b}{n}$ when $b$ is the growth (or decay) factor for an interval of length 1 and $n$ is the number of intervals. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg2.4 Exponential Functions and Equations, Algebra 2.