LESSON 4: LOGARITHMIC FUNCTIONS
What is logarithm? How is it related to exponential functions? Look at the expression on the left. Have you ever seen anything like it? What do you suppose the expression means? How does a word (log) work inside of a math problem? Check out the introduction video below, then grab your Cornell Notes sheet to use as you watch the Absorb presentation for lesson 4.
Introduction
SWBAT
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Convert to and from exponential and logarithmic forms.
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Evaluate logarithmic functions
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Identify logarithms that are not possible and have no solution.
Absorb
Exponential Growth Presentation
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Use your Cornell Notes to document important information, processes and/or questions you have.
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Notes will be checked and scored for content at the beginning of class on February 8. Make sure to have any questions you have written down for clarification.
Do
Practice Problems: 16-39,56,61,64,79,80,82,83,84 (pg.490)
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McDougal Littell - Algebra II - Copyright 2004
Connect
The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude R is given by the model R = 0.67log(0.37E)+1.46 where E is the energy (in kilowatt-hours) released by the earthquake. Recently, Kansas has felt numberous earthquakes originating in Oklaholma. When and where was the largest earthquake in Kansas history? What was its Richter scale magnitude? Using the equation above, how much energy did it release?
Check out this Kilowatt-Hour Chart for a comparison of appliance energy consumption.
Resources
Khan Academy Videos
Assessment
Complete the Logarithmic Functions Assessment. The assessment is due Tuesday, March 15 at 11:45 PM.
Directions
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Go to the Lesson 4 Assessment (7 questions) - Link to the assessment is above
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Enter the Game Code 72297 and click PROCEED
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Enter your name (First & Last) and click JOIN GAME.
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Answer the questions. You are aloowed 2 minutes per question.
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EXIT the game when you have completed the assessment.
Grading Scale
A = 90% - 100%
B = 80% - 89%
C = 70% - 79%
D = 60% - 69%
F = 0% - 59%
Grade Weighting
Homework Assignments = 30%
Assessments/Projects = 70%
For more details on grading, please refer to the Course Syllabus.
Summary
A logarithm is the power to which a number must be raised in order to get some other number. Students should be able to convert between exponential and logarithmic forms. They should also now know how to evaluate logarithmic functions. Finally, students should be able to identify logarithms that are not possible and have no solution.