Large and Small Numbers in Words and Figures for JSS 2

Class: JSS 2
Term: First Term
Week: 1
Age: 13 years
Duration: 45 minutes
Subject: General Mathematics
Curriculum Theme: Numbers and Numeration
Previous Lesson: First Term General Mathematics Examination
Topic: LARGE AND SMALL NUMBERS
Subject Matter: Practical representation of numbers using words only digits only mixture of digits and words; Identification of small numbers/fractions; Place value of digits

Specific Objectives

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

Cognitive Domain

• Write large numbers using words only.
• Represent large numbers using digits only.
• Write large numbers using a mixture of digits and words.
• Identify small numbers and fractions.
• State the place value of digits in large whole numbers.
• State the place value of digits in small numbers (decimals).

Affective Domain

• Appreciate the importance of accurately representing numbers in daily life.
• Develop an interest in working with various forms of numbers.

Psychomotor Domain

• Practically write and read numbers presented in different forms.
• Demonstrate the correct identification of place values in given numbers.

Social Domain

• Collaborate with peers to read and write large numbers from various sources like newspaper articles.

Reference Materials

The following resources were used in planning this lesson:

• 2025 Revised 9 Years Basic Education Curriculum
• Relevant State Unified Scheme of Work
• A suitable General Mathematics textbook for JSS 2
• The HeadTeacher Scheme of work

Instructional Materials

The teacher will teach this lesson with the aid of:

• Flash cards showing large and small numbers.
• Chart showing place values of digits of a given large and small number.
• Newspaper articles containing large numbers.
• Whiteboard and markers.

Rationale for the Lesson

Understanding large and small numbers is fundamental for everyday calculations, financial literacy, and scientific comprehension. This lesson helps students accurately interpret numerical information from various sources and confidently express quantities in different forms. It lays the groundwork for more advanced mathematical concepts involving magnitude and precision.

Prerequisite/Previous Knowledge

Students should be familiar with basic number recognition, counting, and simple fractions from their primary school mathematics lessons.

Lesson Content/Board Summary

LARGE AND SMALL NUMBERS

Practical Representation of Numbers

Numbers can be written in three main ways:

1. Words Only: Writing the entire number using only words.

Example: 15,345,200 is written as Fifteen million, three hundred and forty-five thousand, two hundred.

2. Digits Only: Writing the entire number using only numerical figures.

Example: Twenty-three thousand, five hundred and twelve is written as 23,512.

3. Mixture of Digits and Words: Writing large numbers by combining digits for the main part and words for the magnitude (e.g., millions, billions). This is often used for very large numbers for brevity.

Example: 7,500,000,000 can be written as 7.5 billion or 7,500 million.

Example: ₦25,000,000 can be written as ₦25 million.

Identification of Small Numbers/Fractions

Small numbers are typically numbers less than one. They can be represented as fractions or decimals.

1. Fractions: Represent parts of a whole (e.g., 1/2, 3/4, 5/8).
2. Decimals: Represent fractions where the denominator is a power of ten (e.g., 0.5 for 1/2, 0.75 for 3/4, 0.125 for 1/8).

Examples of small numbers: 0.1, 0.05, 1/4, 3/100.

Place Value of Digits

The place value of a digit is its value based on its position in a number. It helps us understand the magnitude of each digit.

Place Value in Whole Numbers

For whole numbers, place values increase by powers of ten as you move to the left from the units digit.

Example: In the number 45,789

1. 9 is in the Units place (value = 9 x 1 = 9)
2. 8 is in the Tens place (value = 8 x 10 = 80)
3. 7 is in the Hundreds place (value = 7 x 100 = 700)
4. 5 is in the Thousands place (value = 5 x 1,000 = 5,000)
5. 4 is in the Ten Thousands place (value = 4 x 10,000 = 40,000)

Example: In the number 123,456,789

1. 9 = Units
2. 8 = Tens
3. 7 = Hundreds
4. 6 = Thousands
5. 5 = Ten Thousands
6. 4 = Hundred Thousands
7. 3 = Millions
8. 2 = Ten Millions
9. 1 = Hundred Millions

Place Value in Small Numbers (Decimals)

For decimal numbers, place values decrease by powers of ten as you move to the right from the decimal point.

Example: In the number 0.345

1. 3 is in the Tenths place (value = 3 x 0.1 = 0.3)
2. 4 is in the Hundredths place (value = 4 x 0.01 = 0.04)
3. 5 is in the Thousandths place (value = 5 x 0.001 = 0.005)

Example: In the number 12.3456

1. 1 = Tens
2. 2 = Units
3. . = Decimal Point
4. 3 = Tenths
5. 4 = Hundredths
6. 5 = Thousandths
7. 6 = Ten Thousandths

Teaching Methods/Instructional Techniques

Discussion, Demonstration, Guided Practice, Question and Answer, Explanation, Individual Practice.

Instructional Procedures

Step 1: Introduction

Time: 5 minutes

Teaching Skill: Activating prior knowledge

Teacher’s Activity: The teacher greets the students and asks them to state some large numbers they encounter daily (e.g., population of Nigeria, cost of a car). The teacher then asks them to write a simple fraction like one-half.

Pupils’ Activity: Students respond by stating large numbers and writing fractions on their rough notebooks or mini-whiteboards.

Learning Point: Recalling number concepts

Step 2: Practical Representation of Large Numbers

Time: 8 minutes

Teaching Skill: Explanation/Demonstration

Teacher’s Activity: The teacher explains and demonstrates how to represent large numbers using words only, digits only, and a mixture of digits and words, using examples like ₦15,000,000 or 2.5 billion. The teacher uses flash cards to show various representations.

Pupils’ Activity: Students observe, listen, and practice writing numbers in different forms as guided by the teacher.

Learning Point: Number representation methods

Step 3: Identification of Small Numbers and Fractions

Time: 7 minutes

Teaching Skill: Explanation/Questioning

Teacher’s Activity: The teacher introduces small numbers and fractions, explaining that they represent parts of a whole or numbers less than one. The teacher provides examples like 0.25, 1/4, and 0.001, asking students to identify which are small numbers.

Pupils’ Activity: Students identify small numbers and fractions from examples and ask questions for clarification.

Learning Point: Understanding small numbers

Step 4: Place Value in Whole Numbers

Time: 7 minutes

Teaching Skill: Guided Practice

Teacher’s Activity: The teacher uses a place value chart to explain the place value of digits in large whole numbers (Units, Tens, Hundreds, Thousands, etc.). The teacher writes a number like 345,678 on the board and asks students to state the place value of each digit.

Pupils’ Activity: Students actively participate by identifying and stating the place values of digits in various whole numbers.

Learning Point: Place value in whole numbers

Step 5: Place Value in Small Numbers (Decimals)

Time: 6 minutes

Teaching Skill: Explanation/Demonstration

Teacher’s Activity: The teacher extends the concept of place value to small numbers (decimals), explaining tenths, hundredths, thousandths, etc. The teacher uses examples like 0.125 and 5.67 to illustrate.

Pupils’ Activity: Students pay attention and practice identifying place values in decimal numbers.

Learning Point: Place value in decimals

Step 6: Reading Numbers from Newspaper Articles

Time: 4 minutes

Teaching Skill: Application

Teacher’s Activity: The teacher distributes newspaper snippets containing large numbers (e.g., budget figures, population data) and asks students to read them aloud, identifying the form of representation (words, digits, or mixed).

Pupils’ Activity: Students read the numbers from the newspaper articles and discuss their representation.

Learning Point: Real-world number application

Step 7: Evaluation/Review

Time: 5 minutes

Teaching Skill: Questioning/Assessment

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

1. Write “Two hundred and fifty-three million, seven hundred thousand” in digits.
2. Identify two examples of small numbers.
3. What is the place value of the digit ‘6’ in 4,567,890?
4. What is the place value of the digit ‘3’ in 0.1234?

Pupils’ Activity: Pupils answer orally and in writing.

Learning Point: Assessing number representation

Step 8: Note-Taking

Time: 4 minutes

Teaching Skill: Guided Writing

Teacher’s Activity: The teacher guides pupils/students to copy the essential Board Summary notes on practical representation of numbers, identification of small numbers, and place value of digits into their notebooks.

Pupils’ Activity: Pupils/students copy the notes carefully into their notebooks.

Learning Point: Recording lesson summaries

Step 9: Conclusion

Time: 2 minutes

Teaching Skill: Reinforcement

Teacher’s Activity: The teacher summarises the lesson by reiterating the importance of correctly representing and understanding the place value of both large and small numbers in various contexts. The teacher encourages students to continue practicing.

Pupils’ Activity: Students listen and ask any final questions.

Learning Point: Consolidating number understanding

Continuous Assessment/Further Study

Type: Homework

Instruction: Answer the following questions in your notebook:

1. Write the number 8,905,123,400 in words.
2. Write “Fifty-six point seven eight” in digits.
3. Express ₦150,000,000 using a mixture of digits and words.
4. Identify the place value of the underlined digit in each number:
1. 4,567,890
2. 0.12345
5. Find two different newspaper articles and write down one large number from each, stating how it is represented.

Lesson Keywords

• Large Numbers – Numbers with high values, often in millions, billions, or trillions.
• Small Numbers – Numbers less than one, often represented as fractions or decimals.
• Fractions – Numbers representing parts of a whole.
• Digits – The symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 used to form numbers.
• Place Value – The value of a digit based on its position in a number.
• Decimal Point – A dot separating the whole number part from the fractional part of a number.

Differentiation

For weaker learners, provide additional practice with smaller numbers and simpler place value exercises. Use visual aids like a large place value chart. For faster learners, challenge them with larger numbers (e.g., trillions) and more complex decimal place value identification, or ask them to research how numbers are used in different fields like science or finance.

Suggested Lesson Videos

For further understanding, search on YouTube for:
JSS2 large and small numbers place value

Teacher Guide for Using This Lesson Plan

Before the lesson, ensure you have flash cards prepared with various large and small numbers, and a clear place value chart. Collect a few newspaper articles that contain large numbers for the application activity. Begin by engaging students with real-life examples of numbers. Systematically cover the three ways of representing numbers, then move to identifying small numbers and fractions. Dedicate sufficient time to explaining place value for both whole and decimal numbers, as this is a core concept. Encourage active participation through questioning and guided practice. Allow students to copy the Board Summary notes after the main teaching points have been clarified. For the evaluation, ensure questions cover all aspects of the lesson. Provide constructive feedback on their responses and homework.