LESSON 7: SOLVING EXPONENTIAL & LOGARITHMIC EQUATIONS (PART 2)
After focusing our work on solving exponential equations in leson 6, we will now turn to solving logarithmic equations in Lesson 7. Part 2 will require the use of the logarithm properties we learned in Lesson 5 (Side-by-Side, On-Top & In-A-Fraction) so grab your Lesson 5 notes to use as a reference if you need them. Check out the introduction video below, then grab your Cornell Notes sheet to use as you watch the Absorb presentation for Lesson 7.
Introduction
SWBAT
-
Use logarithms to solve exponential equations.
-
Evaluate logarithmic expressions using a graphing calculator including the Change-of-Base formula.
Absorb
Exponential Growth Presentation
-
Use your Cornell Notes to document important information, processes and/or questions you have.
-
Notes will be checked and scored for content at the beginning of class on April 11. Make sure to have any questions you have written down for clarification.
Do
-
You can download the worksheet using the link above. Your submission options are as follows:
-
Complete (by hand with work shown) and then scan the worksheet. Submit as a .pdf
-
Complete (by hand with work shown) and then take a picture of the worksheet. Submit as a photo.
-
Using an equation editor, complete and then save the worksheet. Submit as a .pdf
-
-
Submit your completed homework to jcrist@usd264.org
Mobile Learning Activity
Exponential growth and decay situations are everyewhere. Whether you realize it or not, compund or continuous interest affects our lives on a daily basis. The goal of this activity is to find 3 separate objects (indoors or outdoors) that model exponential functions for growth, decay & none. The objects can model interest that is compounded periodically or continuously. Make a short video (< 1 minute) with a narrative explaination as to why that object fits into each category. See the outlined directions below and then check out my sample video before making yours. Email your video assignment to jcrist@usd264.org. I would suggest using a camera on your phone, tablet or computer. Email me with any questions you have.
Make a 1 minute video with images and descriptions of the following (Compounded Periodically or Continuously):
-
Exponential Growth Object with Explaination
-
Exponential Decay Object with Explaination
-
No Growth Object with Explaination
When finished, email your video to me at jcrist@usd264.org
Mobile Learning Sample Video
Assessment
Complete the Solving Exponential & Logarithmic Equations Assessment. The assessment is due Monday, April 11 at 11:59 PM.
Directions
-
Go to the Lesson 7 Assessment (5 questions) - Link to the assessment is above
-
Enter the Game Code 225003 and click PROCEED
-
Enter your name (First & Last) and click JOIN GAME.
-
Answer the questions. You are allowed 15 minutes per question.
-
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 a tool allowing us to solve equations having variables in the exponent, especially when the solution is not a whole number. Students should be able to use logarithms to solve exponential equations. They should also be able to use a graphing calculator and the change-of-base formula to evaluate logarithmic expressions.