Class: Primary 4
Term: First Term
Week: 2
Age: 9 years
Duration: 45 minutes
Subject: General Mathematics
Curriculum Theme: Numbers and Numeration
Previous Lesson: Whole Numbers, Counting, Place Value and Quantitative Reasoning.
Topic: WHOLENUMBERS (contd)
Subject Matter: Place value using abacus, place value of 5-digit numbers, Roman numerals I to D, ordering of whole numbers up to 1000, quantitative reasoning on place value ordering and Roman numerals.

Specific Objectives

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

Cognitive Domain:

State the place value of digits using an abacus.
Identify the place value of each digit in a given 5-digit number.
Represent numbers in Roman numerals from I to D.
Order whole numbers up to 1000 using the greater than (>) and less than (<) signs.
Solve quantitative reasoning problems involving place value, ordering, and Roman numerals.

Affective Domain:

Appreciate the importance of place value in understanding numbers.
Show confidence in solving problems involving different number systems like Roman numerals.

Psychomotor Domain:

Manipulate an abacus to correctly place digits.
Write Roman numerals accurately.

Participate actively in group discussions to solve quantitative reasoning problems.

Reference Materials

The following resources were used in planning this lesson:

9 Years Basic Education Curriculum (Primary 4 General Mathematics)
State Unified Scheme of Work (Primary 4 General Mathematics)
New General Mathematics for Primary Schools 4
Federal Ministry of Education Website
Nigerian Curriculum Resources

Instructional Materials

The teacher will teach this lesson with the aid of:

Abacus
Charts showing place value columns (HTH TH H T U)
Posters displaying Roman numerals from I to D
Whiteboard or blackboard and markers/chalk

Rationale for the Lesson

This lesson helps pupils understand how the position of a digit affects its value and introduces them to different ways of representing numbers. This knowledge is important for daily calculations, reading numbers in various contexts, and developing problem-solving skills.

Prerequisite/Previous Knowledge

Pupils can count and identify numbers up to 1000. They also have a basic understanding of place value for 3-digit numbers.

Lesson Content/Board Summary

WHOLE NUMBERS (Continued)

1. Place Value Using Abacus

Place value tells us the value of each digit in a number based on its position. An abacus is a tool used to represent numbers and their place values.

To state place value using an abacus:

Each rod on the abacus represents a place value (e.g., Units, Tens, Hundreds).
The number of beads on a rod shows the digit in that place value.

Example: On an abacus, 3 beads on the Tens rod and 5 beads on the Units rod represent the number 35.

2. Place Value of 5-Digit Numbers

A 5-digit number has digits in the following places:

Ten Thousands (TTh)
Thousands (Th)
Hundreds (H)
Tens (T)
Units (U)

Example: In the number 25,471:

2 is in the Ten Thousands place (value 20,000)
5 is in the Thousands place (value 5,000)
4 is in the Hundreds place (value 400)
7 is in the Tens place (value 70)
1 is in the Units place (value 1)

3. Roman Numerals I to D

Roman numerals are a system of numerical notation used by the Romans. They use letters to represent numbers.

The basic Roman numerals are:

I = 1
V = 5
X = 10
L = 50
C = 100
D = 500

Rules for forming Roman numerals:

Repeating a numeral up to three times means adding its value (e.g., II = 2, XXX = 30).
A smaller numeral placed before a larger numeral means subtraction (e.g., IV = 4, IX = 9).
A smaller numeral placed after a larger numeral means addition (e.g., VI = 6, LX = 60).

Examples:

XII = 10 + 2 = 12
XL = 50 – 10 = 40
CD = 500 – 100 = 400

4. Ordering of Whole Numbers Up to 1000

Ordering numbers means arranging them from smallest to largest (ascending order) or largest to smallest (descending order).

We use the following signs:

‘>’ means ‘greater than’
‘<' means 'less than'

To order numbers:

Compare the digits from the leftmost place value.
The number with the larger digit in the highest place value is greater.

Example: Order 345, 298, 351 in ascending order.

Comparing hundreds: 298 is the smallest. Then compare 345 and 351 (tens place). 345 is smaller than 351.

Ascending order: 298, 345, 351.

5. Quantitative Reasoning on Place Value, Ordering, and Roman Numerals

Quantitative reasoning involves solving problems by applying mathematical concepts like place value, ordering, and Roman numerals. These problems often require logical thinking and understanding of number relationships.

Example: If 3 tens and 5 units make 35, what number is formed by 4 hundreds, 2 tens, and 8 units?

Solution: 428

Teaching Methods/Instructional Techniques

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

Instructional Procedures

Step 1: Introduction

Time: 5 minutes
Teaching Skill: Set Induction
Teacher’s Activity: The teacher greets the pupils and reviews the previous lesson on whole numbers by asking questions such as, “What is the smallest 3-digit number?” and “What is the largest 3-digit number?”. The teacher then introduces the new topic, “WHOLE NUMBERS (contd)”, and states the objectives for the lesson.
Pupils’ Activity: Pupils respond to the teacher’s questions and listen attentively to the introduction of the new topic and objectives.
Learning Point: Pupils recall previous knowledge on whole numbers and are prepared for the new lesson.

Step 2: Place Value Using Abacus

Time: 8 minutes
Teaching Skill: Demonstration/Explanation
Teacher’s Activity: The teacher uses an abacus to demonstrate how to state the place value of digits. The teacher places beads on different rods and asks pupils to identify the number and the value of each digit. For example, placing 4 beads on the tens rod and 7 beads on the units rod to represent 47.
Pupils’ Activity: Pupils observe the teacher’s demonstration and practice placing beads on the abacus to represent given numbers, identifying the place value of each digit.
Learning Point: Pupils understand how an abacus is used to show place value.

Step 3: Place Value of 5-Digit Numbers

Time: 7 minutes
Teaching Skill: Explanation/Illustration
Teacher’s Activity: The teacher explains the place value of each digit in a 5-digit number using a chart with HTH TH H T U columns. The teacher writes various 5-digit numbers on the board and guides pupils to identify the place value of specific digits. For example, in 34,562, what is the place value of 4?
Pupils’ Activity: Pupils listen to the explanation, observe the chart, and write down the place value of digits in given 5-digit numbers.
Learning Point: Pupils can identify the place value of each digit in a 5-digit number.

Step 4: Roman Numerals I to D

Time: 8 minutes
Teaching Skill: Explanation/Practice
Teacher’s Activity: The teacher introduces Roman numerals from I to D, writing the basic symbols (I, V, X, L, C, D) and their values on the board. The teacher explains the rules for combining Roman numerals (addition and subtraction rules) with examples. The teacher then guides pupils to form simple Roman numerals using their fingers or by writing them.
Pupils’ Activity: Pupils copy the Roman numerals and their values. They practice forming and writing different Roman numerals as guided by the teacher.
Learning Point: Pupils understand and can write Roman numerals from I to D.

Step 5: Ordering of Whole Numbers Up to 1000

Time: 7 minutes
Teaching Skill: Explanation/Guided Practice
Teacher’s Activity: The teacher explains how to order whole numbers up to 1000 using the greater than (>) and less than (<) signs. The teacher provides examples of numbers and guides pupils through the process of arranging them in ascending and descending order.
Pupils’ Activity: Pupils listen to the explanation and participate in ordering given sets of numbers using the correct signs.
Learning Point: Pupils can order whole numbers up to 1000 using comparison signs.

Step 6: Quantitative Reasoning

Time: 5 minutes
Teaching Skill: Problem Solving/Application
Teacher’s Activity: The teacher presents a few quantitative reasoning problems involving place value, ordering, and Roman numerals. The teacher guides pupils through the steps to solve these problems, encouraging them to think logically.
Pupils’ Activity: Pupils attempt to solve the quantitative reasoning problems individually or in small groups under the teacher’s guidance.
Learning Point: Pupils apply their understanding of place value, ordering, and Roman numerals to solve problems.

Step 7: Evaluation/Review

Time: 5 minutes

Teaching Skill: Questioning/Assessment

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

What is the place value of 7 in the number 47,215?
Write the Roman numeral for 90.
Arrange the following numbers in ascending order: 567, 509, 576.
Explain how an abacus helps to show place value.

Pupils’ Activity: Pupils answer orally and in writing.

Learning Point: Pupils demonstrate understanding of the lesson.

Step 8: Conclusion

Time: 3 minutes
Teaching Skill: Summarization/Consolidation
Teacher’s Activity: The teacher summarizes the key points of the lesson, reiterating the importance of place value, Roman numerals, and ordering numbers. The teacher assigns homework which includes exercises from the textbook on place value, Roman numerals, and ordering numbers.
Pupils’ Activity: Pupils listen to the summary and copy the assigned homework.
Learning Point: Pupils consolidate their learning and are given tasks for practice.

Home Task: Solve three new exercises on WHOLENUMBERS (contd). Show each step and check each answer.

Lesson Keywords

Place Value – The value of a digit based on its position in a number.
Abacus – A counting tool with beads on rods used to represent numbers and their place values.
Roman Numerals – A system of numerical notation using letters like I, V, X, L, C, D.
Ordering Numbers – Arranging numbers from smallest to largest (ascending) or largest to smallest (descending).
Quantitative Reasoning – Solving mathematical problems that require logical thinking and application of number concepts.

Differentiation

For pupils who grasp concepts quickly, the teacher can provide more complex quantitative reasoning problems or challenge them to convert larger numbers to Roman numerals. For pupils who need more support, the teacher will provide additional one-on-one guidance, use more visual aids, and give simpler practice questions focused on single concepts at a time.

Note for teachers using this lesson plan

Teachers should ensure that pupils have ample opportunity to use the abacus and practice writing Roman numerals. Encourage active participation and group work, especially during the quantitative reasoning section. Regular review of place value concepts will strengthen pupils’ foundational understanding of numbers.