1. Advanced Functions MHF4U
Logarithm Laws and
Exponent Laws
By: Greg Leverton and Girthiga Gunarajah

2. Goals and Expectations
By the end of the lesson students will be able to
Laws of exponents and laws of logarithm
How are laws of exponents are related to the laws of logarithms
How to use the laws to simplify expressions
Prior Knowledge
What exponents are and how to solve them
What logarithms are and how to solve them
What the graphs of exponential and logarithmic functions look like
The laws of exponents

3. Agenda
Review
Activity 1
Energizer
Activity 2
Wrap-up

4. Bell Work Write down the laws of exponents that was previously learned
Product
Quotient
Exponent

5. Minds-On
Logarithm Applet
Students will work on slide 3

6. Teaching Plan - Overview
Activity 1
Investigating the Laws of Logarithms
Energizer
Zip, Zap, Zop
Activity 2
Find the Connection

7. Activity 1 – Investigating the Laws
The purpose of this activity is to introduce the laws they know for exponents (product, quotient and exponent) to logarithms
Using the Logarithms Applet students will investigate the three logarithm laws
Within their table groups they will discuss the laws and write down the laws into their math notebooks
Quick Consolidation: One member from the table group will come up and write down the law requested

8. Energizer
Zip, Zap, Zop
A quick break between the two activities that will “wake up” the students
Refer to lesson plan for complete instructions

9. Activity 2 – Find the Connection
The purpose of this activity is for students to understand the relationship between the previously learned exponent laws and the logarithm laws
Using the worksheet, as a table group, students will work through the worksheet trying to derive the exponent law from the logarithm law they just discovered

10. Consolidation
Students will come up to the SmartBoard and write out the steps for the derivations they just completed for the product and quotient law
Pose the question, so what is the connection between the exponent laws and the logarithm laws?
Ticket out the door
Write down at least one law that you learned today?
What questions do you still have?

11. Optional Home Activity
Challenge Problem
Derive the power law for exponents from the power law for logarithms
Hint: Refer back to Activity 2 – Worksheet

12. Questions?