Mathematics - Primary 6 - Number Bases (Binary and Denary)

Term: 3^rd Term

Week 1

Class: Primary 6
Age: 11 years
Duration: 40 minutes of 5 periods
Date:
Subject: Mathematics
Topic: Number Bases (Binary & Denary)

SPECIFIC OBJECTIVES:
At the end of the lesson, pupils should be able to:

Write numbers in binary.
Convert denary to binary.
Convert denary to other number bases and vice versa.
Add and subtract numbers between binary and denary.
Multiply and divide numbers between binary and denary.

INSTRUCTIONAL TECHNIQUES:
• Demonstration
• Group activities
• Problem-solving approach
• Use of teaching aids (charts, worksheets, etc.)
• Interactive discussions

INSTRUCTIONAL MATERIALS:
• Charts with binary and denary number conversion tables
• Whiteboard, markers, and erasers
• Flashcards with numbers for conversion exercises
• Worksheet for exercises

INSTRUCTIONAL PROCEDURES:

PERIOD 1 and 2:
PRESENTATION

Step	Teacher’s Activity	Pupil’s Activity
STEP 1 – INTRODUCTION	Introduces the concept of number bases and demonstrates the importance of binary and denary systems.	Pupils listen and ask questions for clarification.
STEP 2 – EXPLANATION	Explains how to write numbers in binary using a step-by-step approach.	Pupils follow the teacher’s explanation and practice converting simple numbers to binary.
STEP 3 - DEMONSTRATION	Demonstrates converting denary to binary using examples.	Pupils observe and follow along with the teacher’s examples.
STEP 4 - NOTE TAKING	Provides a list of steps for converting denary to binary.	Pupils take notes on converting denary to binary.

NOTE (On the Board):
• Converting Denary to Binary:

Divide the denary number by 2.
Record the remainder (0 or 1).
Continue dividing by 2 until the quotient is 0.
The binary equivalent is the remainders written in reverse order.
Example:
Denary 13 → 1101 in binary.

EVALUATION:
• Ask pupils to convert a few simple denary numbers to binary.
• Review the steps for binary conversion.

CLASSWORK:
• Convert the following denary numbers to binary: 5, 7, 9, 12.
• Solve problems using binary to denary conversion.

ASSIGNMENT:
• Convert five denary numbers (between 1 and 30) into binary.

CONCLUSION:
The teacher commends the pupils positively for their participation in the lesson.

PERIOD 3 and 4:
PRESENTATION

Step	Teacher’s Activity	Pupil’s Activity
STEP 1 – INTRODUCTION	Recaps the previous lesson on binary and denary numbers. Introduces addition and subtraction of binary and denary numbers.	Pupils recall the steps for converting binary and denary numbers and participate in a short discussion.
STEP 2 – EXPLANATION	Explains how to add and subtract binary numbers and convert the result to denary.	Pupils take notes on the addition and subtraction process for binary numbers.
STEP 3 - DEMONSTRATION	Demonstrates the process of adding and subtracting binary numbers with examples.	Pupils observe and attempt to add and subtract binary numbers using examples.
STEP 4 - NOTE TAKING	Explains the rules for adding and subtracting binary numbers.	Pupils take notes on the binary addition and subtraction rules.

NOTE (On the Board):
• Binary Addition:
0 + 0 = 0, 1 + 0 = 1, 1 + 1 = 10 (carry 1)
Example: 1101 + 1010 = 10111
• Binary Subtraction:
1 - 0 = 1, 1 - 1 = 0, 10 - 1 = 1 (borrow 1)
Example: 1101 - 1010 = 0111

EVALUATION:
• Ask pupils to solve binary addition and subtraction problems.
• Provide examples for pupils to practice.

CLASSWORK:
• Add and subtract the following binary numbers:
1011 + 1100
10101 - 1101

ASSIGNMENT:
• Solve five binary addition and subtraction problems from the textbook.

CONCLUSION:
The teacher congratulates the pupils for participating and encourages them to practice addition and subtraction of binary numbers.

PERIOD 5:
PRESENTATION

Step	Teacher’s Activity	Pupil’s Activity
STEP 1 – INTRODUCTION	Introduces the topic of multiplication and division in binary.	Pupils listen and engage in a short discussion on multiplication and division.
STEP 2 – EXPLANATION	Explains the method of multiplying and dividing binary numbers and converting the result to denary.	Pupils watch and take notes on how to multiply and divide binary numbers.
STEP 3 - DEMONSTRATION	Demonstrates binary multiplication and division with examples.	Pupils follow along and solve examples together.
STEP 4 - NOTE TAKING	Pupils take notes on how to multiply and divide binary numbers.	Pupils take notes on binary multiplication and division steps.

NOTE (On the Board):
• Binary Multiplication:
Example: 101 (5) × 10 (2) = 1010 (10)
• Binary Division:
Example: 1010 ÷ 10 = 101

EVALUATION:
• Ask pupils to multiply and divide a few binary numbers.
• Review the steps and rules for binary multiplication and division.

CLASSWORK:
• Multiply and divide the following binary numbers:
110 × 11
1010 ÷ 10

ASSIGNMENT:
• Solve five binary multiplication and division problems from the textbook.

CONCLUSION:
The teacher commends the pupils for their hard work and encourages them to practice binary multiplication and division.

Summary of Lesson:

This week, the pupils will learn about number bases, focusing on binary and denary systems. They will practice writing numbers in binary, converting between denary and binary, and performing operations such as addition, subtraction, multiplication, and division in binary and denary systems.