Unpacked Content
Knowledge
Students know:
- Exponential forms y=a-bx and y=A0ek-x.
- b must be nonnegative.
- A is the initial value.
- If b>1, the function models exponential growth.
- If 0
Skills
Students are able to:
- Use natural exponential functions to describe the growth of natural phenomena.
- Use natural logarithm models to describe the time needed for the growth of natural phenomena.
Understanding
Students understand that:
- ln(x) gives the time needed to grow x.
- Ex gives the amount of growth after the time x.
Vocabulary
- Continuous
- Explore
- Behavior
- Applications
