Lesson Plan

Distinguish a constant-difference (linear) pattern from a constant-factor (exponential) pattern by computing successive ratios

Write $y = ab^x$ from a described situation, identifying $a$ as the initial value and $b$ as the per-step factor

Convert a percentage rate to a growth or decay factor using $b = 1 + r$ or $b = 1 - r$

Classify a given exponential function as growth or decay from the value of $b$

Evaluate an exponential function at integer inputs, including $x = 0$

Solve problems that require building the exponential function from a description before evaluating it

F 702. Build functions for relations that are exponential F 301. Extend a given pattern by a few terms for patterns that have a constant factor between terms — score range 16-19, lines 141-143 N 605. Apply properties of rational exponents — score range 28-32, line 73 A 512. Work problems involving positive integer exponents — score range 24-27, lines 253-254