Mathematics - Junior Secondary 1 - Number base continued

Number base continued

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TERM: 2ND TERM

WEEK 4

Class: Junior Secondary School 1
Age: 12 years
Duration: 40 minutes of 5 periods
Subject: Mathematics
Topic: Number Base Continued
Focus: Multiplication of Binary Numbers, Quantitative Aptitude and Real-Life Application

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

  1. Multiply two 2-digit binary numbers.
  2. Apply binary conversion in real-life scenarios.
  3. Solve quantitative problems related to binary operations.
  4. Understand binary use in data and computing.
  5. Build confidence in multi-step binary problem solving.

 

INSTRUCTIONAL TECHNIQUES:
• Step-by-step demonstration
• Guided practice
• Problem-solving
• Peer correction
• Use of real-life data

 

INSTRUCTIONAL MATERIALS:
• Binary multiplication charts
• Board and marker
• Worksheets
• Sample digital devices' specs
• Charts showing data sizes (e.g., MB, GB in binary)

 

PERIOD 1 & 2: Binary Multiplication

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Recaps binary addition and introduces multiplication in base two.

Pupils listen and respond.

Step 2 – Explanation

Demonstrates multiplication of binary digits: 10 × 11

Pupils copy and ask questions.

Step 3 – Practice

Solves 2-digit by 2-digit binary multiplications.

Pupils solve in class.

Step 4 – Note Taking

Writes out rules and example on board.

Pupils copy into notebooks.

NOTE ON BOARD:
Example:

  11 

× 10 

---- 

  00  (0 × 11) 

+11   (1 × 11, shifted) 

= 110 (Binary answer) 

EVALUATION:
Multiply:

  1. 10 × 11
  2. 11 × 11
  3. 10 × 10
  4. 101 × 10
  5. 110 × 11

CLASSWORK:

  1. 101 × 11
  2. 11 × 10
  3. 111 × 1
  4. 100 × 10
  5. 10 × 100

ASSIGNMENT:

  1. Multiply 5 binary numbers.
  2. Convert each result to base ten.
  3. Create your own binary multiplication.
  4. Explain how you solved any one.
  5. Write 3 things binary multiplication is used for.

 

PERIOD 3 & 4: Quantitative & Real-Life Application

PRESENTATION:

Step

Teacher’s Activity

Pupil’s Activity

Step 1 – Introduction

Shows binary in real-life: memory, codes, computers.

Pupils relate to devices.

Step 2 – Demonstration

Uses simple quantitative problems like storage sizes.

Pupils observe and comment.

Step 3 – Guided Practice

Gives binary-related aptitude questions.

Pupils solve with help.

Step 4 – Summary

Reviews and corrects errors.

Pupils make corrections.

NOTE ON BOARD:

  • 1 byte = 8 bits (binary digits)
  • Binary is used in:
    • Data transfer
    • File sizes
    • Computer programming

EVALUATION:

  1. If 1 bit = 1, what is 8 bits in binary?
  2. Convert 16 GB to binary (assume 1 GB = 1,000,000,000 in base ten)
  3. Solve: 1010 + 110
  4. Solve: 111 – 11
  5. Multiply: 10 × 11

CLASSWORK:

  1. Find value of 1011 in base ten
  2. Create your own 3-digit binary number and subtract 11 from it
  3. 1001 + 100
  4. Explain how binary is used in computers
  5. Match base 10 numbers with binary equivalents

ASSIGNMENT:

  1. Find 3 tech gadgets that use binary
  2. Explain how binary helps them function
  3. Convert 3 numbers from your phone memory (e.g., 2GB) to binary
  4. Solve 3 binary problems using real-life numbers

Create a story problem using binary digits