Alg2.4 Exponential Functions and Equations

Lesson 1

• I understand how to calculate values that are changing exponentially.

Lesson 2

• I understand that exponential functions change by equal factors over equal intervals.

Lesson 3

• I can determine the value of exponential functions at non-whole number inputs.

Lesson 4

• I understand how to calculate a growth or decay factor of an exponential function for different input intervals.

Lesson 5

• I can explain why an exponential function changes by the same factor over equal intervals, even when those intervals are not whole numbers.

Lesson 6

• I can write equations for exponential functions from two input-output pairs, even when the input pairs are not one unit apart.

Lesson 7

• I can use the half-life of elements to calculate how much of the element remains over time.

Lesson 8

• I can approximate the value of unknown exponents.

Lesson 9

• I understand that a logarithm is a way to represent an exponent in an exponential equation.

Lesson 10

• I understand how to evaluate a logarithmic expression.

Lesson 11

• I can use known values of logarithms to estimate the value of other logarithms.
• I can use technology to determine the value of a logarithm.

Lesson 12

• I know that $e$ is an irrational constant, like $\pi$, that has a value of about 2.718.

Lesson 13

• I understand that $e$ is used in exponential models when we assume the growth rate is applied at every moment.

Lesson 14

• I can solve simple exponential equations using logarithms.

Lesson 15

• I can solve exponential equations using logs or by graphing

Lesson 16

• I can calculate where two exponential graphs meet using logarithms.
• I can interpret the intersection of the graphs of two exponential functions in context.

Lesson 17

• I can interpret logarithmic functions in context.

Lesson 18

• I understand how logarithms are used to measure things like acidity and the intensity of earthquakes.