# 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.