Class: Senior Secondary School 1 (SS1, SS 1, SSS1, SSS 1)
Term: First Term
Week: 8
Age: 15 years
Duration: 45 minutes
Subject: General Mathematics
Curriculum Theme: General Mathematics
Previous Lesson: Logarithm.
Topic: LOGARITHM (III)
Subject Matter: Calculations involving power and roots using the logarithm tables. Solving practical problems using logarithm tables relating to capital market. Explaining the concept of capital market operation.

Specific Objectives

By the end of the lesson, pupils should be able to:

Cognitive Domain:

Read logarithm and antilogarithm tables accurately for calculations.
Perform calculations involving powers and roots using logarithm tables.
Define capital market and explain its operations.
Solve practical problems using logarithm tables, including those related to the capital market.

Affective Domain:

Appreciate the application of logarithms in simplifying complex calculations.
Show interest in understanding financial concepts like the capital market.

Psychomotor Domain:

Accurately use logarithm tables to find the log and antilog of numbers.
Present clear, step-by-step solutions to problems involving logarithms.

Participate actively in class discussions on the use of logarithms.
Collaborate with peers to solve mathematical problems.

Reference Materials

The following resources were used in planning this lesson:

9 Years Basic Education Curriculum for Senior Secondary Schools (General Mathematics)
State Unified Scheme of Work for Senior Secondary School 1 (General Mathematics)
New General Mathematics for Senior Secondary Schools 1 by J.B. Channon, A. McLeish Smith, et al.
Logarithm and Antilogarithm Tables Booklet
https://waeconline.org.ng/
https://nerdc.gov.ng/

Instructional Materials

The teacher will teach this lesson with the aid of:

Logarithm tables chart
Logarithm table booklet for each pupil
Whiteboard or blackboard
Markers or chalk

Rationale for the Lesson

This lesson helps pupils simplify complex mathematical calculations involving powers and roots, which is important in various fields. It also introduces them to the basics of capital market operations, helping them understand how mathematics applies to real-world financial situations.

Prerequisite/Previous Knowledge

Pupils should have a good understanding of the basic laws of logarithms and how to use logarithm tables for multiplication and division of numbers.

Lesson Content/Board Summary

LOGARITHM (III)

Calculations Involving Powers and Roots Using Logarithm Tables

Logarithms help to simplify calculations of powers and roots of numbers.

To calculate powers (e.g., aⁿ) or roots (e.g., ⁿ√a) using logarithms, follow these steps:

Let x be the number to be evaluated (e.g., x = aⁿ or x = ⁿ√a).
Take the logarithm of both sides: log x = log (aⁿ) or log x = log (ⁿ√a).
Apply the laws of logarithms: log x = n log a or log x = (1/n) log a.
Find log a from the logarithm table.
Multiply log a by n (for power) or divide log a by n (for root).
Find the antilogarithm of the result to get x.

Concept of Capital Market Operation

The capital market is a financial market where long-term funds are raised by companies and governments. It deals with investments that have a medium to long-term horizon.

Capital market operations involve activities like:

Issuing and trading of shares (equities).
Issuing and trading of bonds (debt instruments).
Facilitating long-term investments for economic growth.
Providing a platform for investors to buy and sell securities.

Solving Practical Problems Using Logarithm Tables Relating to Capital Market

Logarithms can be applied to solve problems involving compound interest, growth rates, and other financial calculations in the capital market, especially when dealing with powers or roots over time.

Example: Calculating the future value of an investment compounded annually using logarithms.

Teaching Methods/Instructional Techniques

Discussion, Lecture, Demonstration, Question and Answer, Visual Aids

Instructional Procedures

Step 1: Introduction

Time: 3 minutes
Teaching Skill: Set Induction
Teacher’s Activity: The teacher greets the pupils and reminds them of the previous lesson on the laws of logarithms and their use in multiplication and division. The teacher then introduces the topic by stating that today’s lesson will focus on using logarithms for powers, roots, and their application in real-life, specifically the capital market.
Pupils’ Activity: Pupils respond to greetings and recall previous knowledge on logarithms.
Learning Point: Pupils are prepared for the new lesson and connect it to prior learning.

Step 2: Calculations Involving Powers and Roots Using Logarithm Tables

Time: 10 minutes
Teaching Skill: Explanation/Demonstration
Teacher’s Activity: The teacher explains the steps involved in using logarithm tables for calculations of powers and roots. The teacher demonstrates with an example on the board, such as evaluating (2.345)³ or ³√8.765, guiding pupils through each step of finding the log, performing the operation, and finding the antilog.
Pupils’ Activity: Pupils listen attentively, observe the demonstration, and ask questions for clarification.
Learning Point: Pupils learn the method for calculating powers and roots using logarithm tables.

Step 3: Pupil Practice on Powers and Roots

Time: 7 minutes
Teaching Skill: Guided Practice
Teacher’s Activity: The teacher gives pupils a short exercise to practice calculating powers or roots using their logarithm tables. The teacher moves around the class to provide support and check their work.
Pupils’ Activity: Pupils attempt to solve the given problems using their logarithm tables.
Learning Point: Pupils apply the learned method and develop confidence in using logarithm tables for powers and roots.

Step 4: Concept of Capital Market

Time: 7 minutes
Teaching Skill: Explanation/Discussion
Teacher’s Activity: The teacher defines the capital market and explains its importance as a financial market for long-term funds. The teacher discusses examples of capital market operations like trading shares and bonds, relating it to basic investment concepts.
Pupils’ Activity: Pupils listen, take notes, and contribute to the discussion by asking questions about the capital market.
Learning Point: Pupils understand the basic concept and operations of the capital market.

Step 5: Solving Practical Problems Relating to Capital Market

Time: 8 minutes
Teaching Skill: Problem-Solving/Demonstration
Teacher’s Activity: The teacher presents a practical problem related to the capital market, for example, calculating compound interest on an investment over several years, where logarithms can simplify the calculation of the power term. The teacher demonstrates how to set up and solve such a problem using logarithm tables.
Pupils’ Activity: Pupils observe the problem-solving process and understand how logarithms are applied in financial contexts.
Learning Point: Pupils see the real-world application of logarithms in financial calculations.

Step 6: Pupil Practice on Capital Market Problems

Time: 5 minutes
Teaching Skill: Independent Practice
Teacher’s Activity: The teacher provides a simple word problem related to a capital market scenario that requires the use of logarithms for its solution. The teacher encourages pupils to work independently or in pairs.
Pupils’ Activity: Pupils attempt to solve the practical problem, applying both their understanding of logarithms and the capital market concept.
Learning Point: Pupils reinforce their understanding and problem-solving skills in applying logarithms to real-life situations.

Step 7: Evaluation/Review

Time: 5 minutes

Teaching Skill: Questioning/Assessment

Teacher’s Activity: The teacher evaluates the learning by asking the following questions:

State the steps for calculating ⁿ√a using logarithm tables.
Evaluate (5.67)⁴ using logarithm tables.
What is a capital market?
Mention two operations carried out in the capital market.

Pupils’ Activity: Pupils answer orally and in writing.

Learning Point: Pupils demonstrate understanding of the lesson.

Step 8: Conclusion

Time: 0 minutes
Teaching Skill: Summarization
Teacher’s Activity: The teacher briefly summarizes the key points of the lesson, emphasizing the importance of logarithms in simplifying complex calculations and their relevance in understanding financial markets. The teacher assigns homework: Solve the following: ⁵√(0.00345) and an additional problem related to compound interest.
Pupils’ Activity: Pupils listen to the summary and copy down the homework.
Learning Point: Pupils consolidate their learning and are given further practice.

Lesson Keywords

Logarithm – The power to which a base must be raised to produce a given number.
Antilogarithm – The number whose logarithm is a given number.
Power – The product of multiplying a number by itself a specified number of times.
Root – The inverse operation of finding a power, e.g., square root, cube root.
Capital Market – A financial market where long-term debt or equity-backed securities are bought and sold.
Shares – Units of ownership in a company.
Bonds – Debt instruments issued by governments or corporations to raise capital.

Differentiation

For pupils who are struggling, the teacher will provide additional guided examples and one-on-one support. They will be given simpler problems to solve. For advanced pupils, the teacher will provide more challenging problems involving multiple logarithmic operations or more complex capital market scenarios, encouraging them to explore real-world financial news.

Note for teachers using this lesson plan

Ensure pupils have their logarithm tables ready before the lesson. Emphasize the importance of accuracy when reading tables. Encourage pupils to show all working steps clearly, especially when dealing with the characteristic and mantissa of logarithms. Take time to explain the relevance of capital market concepts in simple terms to enhance pupils’ understanding of real-world applications.