These lessons will involve the students in investigating and understanding:
• How to solve problems using the rules of logarithms:
• loga x y = loga x + loga y
• loga (x/ y) = loga x - loga y
• loga x q = qloga x
• loga a = 1, loga 1 = 0
• loga x = logb x / logb a
Overview of Logs - Project Maths Document
Alison
Changing the base of logarithms
Khan
Understanding logarithms as inverse exponentials
Using logarithms to solve exponential equations
Solving logarithmic equations1 video
Solving logarithmic equations2 video
Logarithmic scale video
Graphing natural logarithm function video
Richter scale video
Project Maths
Student Activity changing log bases
IXL
R.1Convert between exponential and logarithmic form: rational bases
R.2Convert between natural exponential and logarithmic form
R.3Convert between exponential and logarithmic form: all bases
R.5Evaluate natural logarithms
R.7Identify properties of logarithms
R.8Product property of logarithms
R.9Quotient property of logarithms
R.10Power property of logarithms
R.11Properties of logarithms: mixed review
R.12Evaluate logarithms: mixed review
OTHER
Project Maths Website
Diagnostic Test Logs & Exponentials
Investigating Compound Interest
Introducing the exponential function
Exploring Numbers in context - Compound Interest & Finding e
T&L Plan: Applications of Geometric Sequences & Series
T&L Plan: Introducing "e" (the exponential function)
Exponential Growth (You Tube video)
Introduction to logarithmetic functions (You Tube video)
Logarithms in the Real World (You Tube video)
IXL - Fifth year maths practice
Introduction to Logarithms maths is fun