This lesson is ideal for: KCSE form 2 students, IGCSE year 10/11 students-both core and extended, Others in the secondary school level needing refreshment of the unit
Teacher: Tr Maurine Chebet (Spark Hybrid Academy)
Date & Time: November 13th, 2025 at 5:30 AM for 240 Minutes
About this lesson: This lesson explores two of the most powerful tools in mathematics — indices (powers) and logarithms — which form the foundation for higher-level topics in algebra, calculus, and real-world problem-solving. Students will begin by revisiting the fundamental laws of indices, learning how to manipulate expressions involving powers and exponents with confidence. Through guided examples, you’ll understand how indices simplify repeated multiplication, how negative and fractional indices work, and how to apply the laws of exponents to simplify algebraic expressions and solve exponential equations. The second part of the lesson introduces logarithms — the inverse of indices. You’ll discover how logarithms transform multiplication into addition, making them essential for solving exponential growth and decay problems, analyzing pH values, sound intensity (decibels), population growth, and even financial models such as compound interest. By connecting indices and logarithms, this lesson helps you build a strong conceptual link between exponentiation and its inverse, enabling you to confidently switch between exponential and logarithmic forms. The lesson includes worked examples, visual explanations, and real-life applications to ensure deep understanding and long-term retention.