Mathematics - Primary 5 - Binary numbers

Binary numbers

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Term: 3rd Term

Week 8
Class: Primary 5
Age: 10 years
Duration: 40 minutes of 5 periods
Date:
Subject: Mathematics
Topic: Binary Numbers

SPECIFIC OBJECTIVES:

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

  1. Add numbers in base two (binary).
  2. Subtract numbers in base two (binary).
  3. Solve quantitative aptitude problems related to binary numbers.

INSTRUCTIONAL TECHNIQUES:

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

INSTRUCTIONAL MATERIALS:

  • Chart with binary numbers
  • Flashcards with binary addition and subtraction examples
  • Markers, whiteboard, and erasers
  • Worksheet for exercises

INSTRUCTIONAL PROCEDURES:

PERIOD 1 and 2:
PRESENTATION

Step

Teacher’s Activity

Pupil’s Activity

STEP 1 – INTRODUCTION

Introduces the concept of binary numbers by explaining what binary is and where it’s used (e.g., computers).

Pupils listen and ask questions for clarification.

STEP 2 – EXPLANATION

Demonstrates how to add binary numbers (e.g., 101 + 110). Shows how to carry over when the sum exceeds 1.

Pupils observe and take notes.

STEP 3 - DEMONSTRATION

Demonstrates binary addition step by step on the board with several examples.

Pupils follow along and practice adding binary numbers on their own.

STEP 4 - NOTE TAKING

Explains the concept of carrying over in binary addition. Pupils take notes.

Pupils take notes on how to add binary numbers and carry over.

NOTE (On the Board):
Binary Addition:

  • 0 + 0 = 0
  • 0 + 1 = 1
  • 1 + 0 = 1
  • 1 + 1 = 10 (carry over the 1)

Example:

  • 101 (5)
  • 110 (6)
    = 1011 (11 in decimal)

Exercise:

  • 101 + 110
  • 111 + 100
  • 1010 + 1101

EVALUATION:

  • Ask pupils to add binary numbers on the board.
  • Check understanding by asking them to explain the carry-over process.
    CLASSWORK:
  • Complete a worksheet with binary addition problems.

ASSIGNMENT:

  • Write 10 binary addition problems and solve them.

CONCLUSION:
The teacher praises pupils for their attention and participation in learning binary addition.

 

PERIOD 3 and 4:
PRESENTATION

Step

Teacher’s Activity

Pupil’s Activity

STEP 1 – INTRODUCTION

Recaps the previous lesson on binary addition and introduces binary subtraction.

Pupils recall addition and participate in a discussion about subtraction.

STEP 2 – EXPLANATION

Demonstrates how to subtract binary numbers (e.g., 1011 - 110). Explains borrowing in binary subtraction.

Pupils listen and take notes.

STEP 3 - DEMONSTRATION

Demonstrates binary subtraction step by step on the board with several examples.

Pupils follow along and practice subtracting binary numbers on their own.

STEP 4 - NOTE TAKING

Explains the borrowing method in binary subtraction. Pupils take notes.

Pupils take notes on how to subtract binary numbers.

NOTE (On the Board):
Binary Subtraction:

  • 0 - 0 = 0
  • 1 - 0 = 1
  • 1 - 1 = 0
  • 0 - 1 = 1 (borrow 1 from the next higher digit)

Example:

  • 1011 (11 in decimal)
  •  
    • 110 (6 in decimal)
  • = 0101 (5 in decimal)

Exercise:

  • 1011 - 110
  • 1101 - 101
  • 10101 - 11001

EVALUATION:

  • Ask pupils to subtract binary numbers on the board.
  • Check understanding by asking them to explain the borrowing process.
    CLASSWORK:
  • Complete a worksheet with binary subtraction problems.

ASSIGNMENT:

  • Write 10 binary subtraction problems and solve them.

CONCLUSION:
The teacher commends the pupils for mastering binary subtraction and encourages them to practice more.

 

PERIOD 5:
PRESENTATION

Step

Teacher’s Activity

Pupil’s Activity

STEP 1 – INTRODUCTION

Introduces quantitative aptitude problems related to binary numbers, explaining their relevance in real-life contexts like computers.

Pupils listen and engage in a short discussion on binary applications.

STEP 2 – EXPLANATION

Explains how to approach and solve quantitative aptitude problems involving binary numbers (addition, subtraction, comparisons).

Pupils watch and take notes.

STEP 3 - DEMONSTRATION

Solves a quantitative aptitude problem involving binary numbers on the board.

Pupils follow along and practice solving similar problems.

STEP 4 - NOTE TAKING

Provides a template for solving binary problems in quantitative aptitude. Pupils take notes.

Pupils write down the steps for solving binary problems.

NOTE (On the Board):
Quantitative Aptitude with Binary Numbers:

  • Convert binary numbers to decimal (if necessary)
  • Add or subtract as required
  • Convert the result back to binary
  • Example: Add 10101 and 1101, then convert the result to decimal and back to binary

Exercise:

  • Solve the following:
    • Add: 101 + 110
    • Subtract: 1101 - 101
    • Add: 1001 + 1010

EVALUATION:

  • Ask pupils to solve a few aptitude problems involving binary numbers.
    CLASSWORK:
  • Solve a worksheet with mixed binary problems (addition, subtraction, conversions).

ASSIGNMENT:

  • Solve 5 binary aptitude problems and explain the steps taken in each.

CONCLUSION:
The teacher commends the pupils for their active participation and encourages them to practice binary problem-solving.

 

SUMMARY OF LESSON:

This week, the pupils will learn about binary numbers, including how to add and subtract binary numbers, and solve quantitative aptitude problems involving binary numbers. They will use various techniques such as converting between binary and decimal, and applying these skills to solve real-life problems. The lessons will be reinforced through interactive exercises, worksheets, and class discussions.