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What is the relationship between exponential and logarithmic functions?
How can properties of logarithms be applied to simplify expressions, solve equations, and solve application problems?
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Student Learning Map
- Topic:Exponential and Logarithmic Functions
- Subject(s):Math
- Days:12
- Grade(s):11, 12
Key Learning:
Solve problems involving exponential and logarithmic functions.
Unit Essential Question(s):
Lesson Essential Question(s):What are some differences between exponential growth and decay and their graphs? (A)How are exponential functions graphed? (A)How are exponential functions used to model and solve real-life problems? (ET)Lesson Essential Question(s):How are simple and complicate exponential equations solved?
How are simple and complicated logarithmic equations solved?
How can exponential and logarithmic equations be used to model and solve real-life problems?
How is the change of base formula used to solve logarithmic equations?
Lesson Essential Question(s):Lesson Essential Question(s):Vocabulary:Vocabulary:
Additional Info:
Ask an experienced coworker for additional reference texts and/or other materials. Textbook Ancillary Material Technology Support Program Hands-on manipulatives Kaplan Lesson Plans
Resources:
Culminating Activities:
1. Untitled Culminating ActivityStudent Assessment(s):
1. Untitled Student AssessmentAcquisition Lesson(s):
1. What are some differences between exponential growth and decay and their graphs?2. What is the relationship between exponential and logarithmic functions?3. What are the three properties of logarithms?4. How are simple and complicate exponential equations solved?5. How are exponential functions graphed?6. How are logarithmic functions graphed?7. How are logarithms with a base other than 10 and e evaluated?8. How are simple and complicated logarithmic equations solved?Extended Thinking Lesson(s):
1. How are exponential functions used to model and solve real-life problems?2. How are logarithmic functions used to model and solve real-life problems?3. How are the properties of logarithms used to simplify expressions?4. How can exponential and logarithmic equations be used to model and solve real-life problems?