Lesson 5: 1.5 Inverse Functions and Logarithms
Duration of Days: 2
Lesson Objective
Students will understand inverse functions and logarithmic functions.
1. What are inverse functions?
2. How are the graphs of functions that are inverses of each other related?
3. What is the horizontal line test?
4. What is a one-to-one function?
5. What are logarithmic functions?
6. What are the properties of the graphs of logarithmic functions?
7. What is the "natural logarithm"?
8. What are inverse trigonometric functions?
- inverse functions
- one-to-one
- horizontal line test
- logarithmic functions
- inverse trigonometric functions
- natural log
HS.MA.3B - 3B. Interpret functions and expressions for functions that arise in applications in terms of the context and situation they model.
HS.MA.3C - 3C. Analyze functions using different representations.
HS.MA.3E - 3E. Build new functions from existing functions.
Inverse and Logarithmic Functions:
DOK levels 1-4
logarithms in music theory
- students often struggle with the concept of logarithms
- students sometimes thing that the inverse of a function is simply the reciprocal
Homogeneous grouping and whole-class discussion
Section assessment
Problems assigned from book