Exponential growth and decay

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

**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

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

What you'll learn

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

Review first:

Function notation and evaluation

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