## Reflection: Staircase of Complexity Simplifying Logarithms - Section 1: Warm Up and Homework Review

Today’s warm up was actually a hook for the day’s lesson.  Students have learned how to solve problems like 8x=16.  They have no current method for solving 8x=10.  I figured some would try guess and check and a bit of reasoning while others would leave it blank and tell me if wasn’t possible.  I was surprised because most of the students didn’t attempt it at all but just gave me similarities and differences.   Example 1 and 3 are both examples of this.  One told me they would have different solutions while the other referred back to the graphical solution (Yay!).  Example 2 displayed some reasoning by stating that the answer would be a decimal but still didn’t attempt to solve it. I was a bit disappointed but this was still enough for the purpose of the lesson.  A class discussion really made this warm up into the lesson hook that as the need for another way to deal with these types of problems was really obvious.  They were quite interested at that point to hear the rest of the lesson.

Staircase of Complexity: A Peek At The Purpose of Logarithms

# Simplifying Logarithms

Unit 8: Exponential and Logarithmic Functions
Lesson 7 of 15

## Big Idea: It's just an exponent, it's just an exponent, it's just an exponent...

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Subject(s):
Math, logarithms, Algebra, Algebra 2, master teacher project
116 minutes

### Amelia Jamison

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