Class: Junior Secondary School 1 (JSS1, JSS 1)
Term: 1st Term
Week: 2
Age: 12 years
Duration: 45 minutes
Subject: Mathematics
Curriculum Theme: Mathematics
Previous Lesson: Millions, Billions, Trillions and Reading Large Numbers
Topic: Whole Numbers Counting
Subject Matter: Problem Solving in Quantitative Aptitude Reasoning Using Large Numbers

Specific Objectives

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

Cognitive Domain:
(a) Solve word problems involving whole numbers.
(b) Apply counting principles in solving quantitative reasoning problems with large numbers.
Affective Domain:
(a) Develop confidence in approaching large number problems.
Psychomotor Domain:
(a) Demonstrate step-by-step procedures in solving quantitative reasoning problems.
Social Domain:
(a) Work cooperatively in groups to attempt problem-solving exercises.

Reference Materials

The following resources were used in planning this lesson:

9 Years Basic Education Curriculum
Lagos State Unified Scheme of work for Junior Secondary Schools
Britannica – Names of Large Numbers | Billion, Trillion, Googolplex
Relevant Textbooks

Instructional Materials

The teacher will teach this lesson with the aid of:

Flashcards with large number problems
Charts showing steps in problem solving
Exercise books and pencils
Whiteboard and marker
Real-life examples involving large numbers (e.g., population figures, money values)

Rationale for the Lesson

This lesson builds pupils’ ability to handle large numbers confidently and apply logical reasoning in solving quantitative aptitude problems in real life.

Prerequisite/Previous Knowledge

Pupils already know how to count, compare, and perform basic operations with whole numbers from earlier lessons. They can also solve simple word problems involving smaller numbers.

Lesson Content/Board Summary

Whole Numbers Counting

Problem Solving with Large Numbers

Problem solving with large numbers means applying the rules of addition, subtraction, multiplication, and division to real-life questions involving big quantities.

The following are examples of problems solved with large numbers:

Finding the sum of two or more large quantities.
Subtracting one large number from another to know the difference.
Multiplying large numbers to find totals in repeated groups.
Dividing large numbers to share items equally or find how many times a number fits into another.

Steps in Solving Quantitative Aptitude Problems

Quantitative aptitude problems require clear steps to avoid mistakes and to arrive at correct answers.

The following are the steps in solving such problems:

Read the question carefully.
Identify what is being asked.
Translate the problem into a mathematical expression.
Carry out the correct operation (addition, subtraction, multiplication, or division).
Write the final answer clearly with proper units where necessary.

Examples of Quantitative Problems Using Large Numbers

Examples include solving real-life questions that involve reasoning with whole numbers.

Examples are:

A factory produces 12,500 bags of rice in one month. How many bags will it produce in 8 months?
A town has 435,280 people. If 27,600 people move out, how many people are left?
A student saves ₦1,250 every month. How much will he save in 24 months?

Teaching Methods/Instructional Techniques:

Discussion, Lecture, Explanation, Demonstration, Guided Practice, Group Work, Question and Answer

Instructional Procedures

To deliver this lesson, the teacher will adopt the following steps:

Step 1: Introduction

Time: 5 minutes
Teaching Skill: Set Induction
Teacher’s Activity: Teacher asks pupils about large numbers they encounter daily (e.g., money in banks, populations, football scores) and links their responses to the lesson.
Pupils’ Activity: Pupils share experiences of large numbers in real life.
Learning Point: Pupils connect real-life numbers to mathematical problem solving.

Step 2: Problem Solving with Large Numbers

Time: 10 minutes
Teaching Skill: Explanation
Teacher’s Activity: Teacher explains and gives examples of addition, subtraction, multiplication, and division with large numbers.
Pupils’ Activity: Pupils listen, observe, and attempt guided examples.
Learning Point: Pupils understand how to solve problems with large numbers.

Step 3: Steps in Solving Quantitative Aptitude Problems

Time: 10 minutes
Teaching Skill: Demonstration
Teacher’s Activity: Teacher outlines steps in solving quantitative reasoning problems and solves one example on the board.
Pupils’ Activity: Pupils take notes and follow the steps in practice.
Learning Point: Pupils learn the systematic approach to solving problems.

Step 4: Examples and Practice

Time: 10 minutes
Teaching Skill: Guided Practice
Teacher’s Activity: Teacher gives pupils worked examples involving large numbers and guides them to solve similar exercises in groups.
Pupils’ Activity: Pupils work in groups to solve given problems.
Learning Point: Pupils gain practical problem-solving skills.

Step 5: Note-Taking

Time: 5 minutes
Teaching Skill: Explanation
Teacher’s Activity: Teacher dictates or writes the summarized lesson content on the board for pupils to copy.
Pupils’ Activity: Pupils copy notes in their exercise books.
Learning Point: Pupils have a permanent record of the lesson content.

Step 6: Evaluation/Review

Time: 3 minutes
Teaching Skill: Questioning
Teacher’s Activity: The teacher evaluates the learning by asking the following questions:

List the four basic operations used in solving large number problems.
State the steps in solving quantitative aptitude problems.
A school library has 42,380 books. If 15,720 are borrowed, how many remain?
Pupils’ Activity: Pupils respond orally and in writing.
Learning Point: Pupils demonstrate understanding of problem solving with large numbers.

Step 7: Conclusion

Time: 2 minutes
Teaching Skill: Reinforcement
Teacher’s Activity: Teacher summarizes the lesson, highlights importance of accuracy in solving large number problems, and encourages pupils to practice daily.
Pupils’ Activity: Pupils listen and ask questions where necessary.
Learning Point: Pupils appreciate the value of solving quantitative problems correctly.

Home Task: Solve three new exercises on Whole Numbers Counting. Show each step and check each answer.

Lesson Keywords

Quantitative – involving numbers or amounts
Aptitude – natural ability to solve or reason logically
Operation – a mathematical process like addition or subtraction
Expression – a statement showing numbers and operations
Accuracy – being correct and exact in solving problems

Differentiation

Teacher simplifies problems for slower learners with smaller numbers, while advanced learners are given more complex word problems with larger numbers.

Note for teachers using this lesson plan

Encourage pupils to read word problems carefully before attempting solutions. Use real-life examples often to make learning relatable and avoid overloading pupils with too many problems at once.