Lesson Notes By Weeks and Term v4 - SHS 2

Lesson Video

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Performance objectives

• Define logarithms and explain their relationship with exponents.
• Apply the laws of logarithms to simplify expressions and solve equations.
• Solve real-life problems involving logarithmic functions.
• Demonstrate understanding of the inverse relationship between exponents and logarithms.

Lesson summary

As a teacher, I will start by posing a question to the class: "We know how to calculate `2^10 = 1024`. But how can we find the exact power 'x' that makes `2^x = 1000`? This is a difficult question to answer with just indices. Today, we will learn about a powerful mathematical tool called logarithms that helps us solve exactly this type of problem. Logarithms are essential in many fields, from measuring the strength of earthquakes in the Eastern Region, calculating the acidity (pH) of soil for our cocoa farms, to understanding how our money grows in a bank."

Lesson notes

(30 minutes)

This section is for direct instruction, demonstration, and active questioning. Part 1: The Relationship Between Exponents and Logarithms

A logarithm is simply an exponent. It answers the question: "What exponent do I need to put on the 'base' to get another number?"

Let's look at a familiar table of powers (indices):

Evaluation guide

• Compose and decompose logarithm laws and properties with exponents and apply the
• concepts to solve real -life problems.
• Using group work and think -pair-share activities , extend the idea of exponents to logarithms in
• base ten. Then, review and investigate the concept of logarithm as an exponent to which a base is