Reflection: Student Led Inquiry Change of Base Formula - Section 2: Discovering the Change of Base Formula

 

As students worked on the activity they quickly began seeing how to find the natural log equation without solving. This can be seen in the student examples (starting at page 3). The students knew that the only thing that would change would be the logarithm.  

When we began discussing the problems I could hear students say the base just goes to the bottom of a fraction. To make sure students we understanding, I had students work problems where they changed to different bases not just a common log an natural log. 

Pages 1 and 2 show a student that is not ready to look for patterns this student is wanting to learn a process and consisitently use the process for every problem. Before we ended the day the student had not finished the connection questions and just filled those in during the class discussion.  I will work with students at this level on a one-to-one bases. 

  Student Led Inquiry: Students learning process
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Change of Base Formula

Unit 3: Exponential and Logarithmic functions
Lesson 7 of 11

Objective: SWBAT solve equations using only common logarithms and natural logarithms

Big Idea: If a logarithms does not have a base of 10 or e it can be rewritten by using the change of base formula.

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Subject(s):
Math, change of base for logarithms, PreCalculus, exponential function, logarithmic functions, equation solving, Properties of Logarithm
  40 minutes
change of base new image
 
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