Below is a concise diary entry suitable for Class VI (WBBSE Mathematics) on the topic "Finding HCF & LCM of Three Numbers (কষে দেখি ১২)". Each entry is within 10 words to fit the limited space.

This wording follows the WBBSE teacher's diary format while remaining brief enough for the available writing space.

The two sections in the West Bengal Teachers' Diary are based on the School Education Department's competency-based teaching approach aligned with NCF 2023, NEP 2020, and WBBSE guidelines. These sections are not meant to describe the entire lesson; rather, they record how the lesson was taught and what activity was conducted to assess learning.

1. Inclusive Teaching Learning Process

(Using 4C / 4H / ICON / 5E Model with the help of TLM)

This section explains the teaching methodology adopted by the teacher so that every learner, irrespective of ability, learning pace, or background, can actively participate.

A. 4C Model

The 4C Model develops 21st-century learning skills.

1. Critical Thinking

Students analyse, compare and solve mathematical problems.

Example

• Compare HCF and LCM.

• Decide whether prime factorisation or division method is easier.

2. Creativity

Students discover multiple methods of solving problems.

Example

• Use factor trees.

• Prepare their own questions.

• Represent factors using diagrams.

3. Collaboration

Students learn by working together.

Example

• Pair work

• Group discussion

• Peer learning

4. Communication

Students explain mathematical ideas.

Example

• Explain each step while finding HCF.

• Present solutions before the class.

B. 4H Model

The 4H Model ensures holistic learning.

Head

Thinking and reasoning.

Example

• Find common prime factors.

Heart

Develop positive attitude and confidence.

Example

• Encourage every child.

• Appreciate different solving methods.

Hand

Learning by doing.

Example

• Solve exercises.

• Draw factor trees.

• Use number cards.

Health

Maintain an enjoyable, stress-free learning environment.

Example

• Interactive games

• Equal participation

• Positive classroom atmosphere

C. ICON Model

ICON means Interpretive Constructivist Model.

Students construct knowledge themselves instead of memorising.

The teacher acts as a facilitator.

The learning process generally includes—

Observation

Observe numbers and factors.

↓

Exploration

Identify common factors.

↓

Interpretation

Understand why HCF or LCM is obtained.

↓

Application

Solve textbook and real-life problems.

↓

Reflection

Discuss mistakes and better methods.

D. 5E Model

This is one of the most widely used pedagogical models.

Engage

Teacher motivates learners.

Example

Ask:

"What is the HCF of 6 and 12?"

Students recall previous knowledge.

Explore

Students investigate.

Example

Find factors of three numbers using charts.

Explain

Teacher explains the concept.

Example

Prime factorisation method for HCF and LCM.

Elaborate

Students apply learning.

Example

Solve 'কষে দেখি ১২' independently.

Evaluate

Learning is assessed.

Example

Oral questions

Worksheet

Blackboard work

Peer assessment

E. TLM (Teaching Learning Materials)

TLM means all materials used to make learning concrete and interesting.

For this lesson, suitable TLM includes:

• Number cards

• Prime factor cards

• Factor tree chart

• Place value chart

• Blackboard

• Chalk

• Flash cards

• Worksheets

• Textbook

• Coloured markers

• Interactive PPT (if available)

Example for your lesson

Topic: HCF and LCM of Three Numbers

Teaching Process

Engage → Recall factors.

↓

Explore → Students identify common factors.

↓

Explain → Teacher demonstrates prime factorisation.

↓

Elaborate → Students solve "কষে দেখি ১২".

↓

Evaluate → Teacher checks individual work.

Throughout the lesson:

• Critical Thinking ✔

• Collaboration ✔

• Communication ✔

• Creativity ✔

Students use number cards and factor tree charts as TLM.

2. Activity Framed

(For Measuring 21st Century Life Skills, Learning Perspective of Cognitive Domain, Behavioural Cognitive Outcomes)

This section records the activity designed to assess whether students have achieved the expected competencies, not merely whether they can obtain the correct answer.

The activity should evaluate:

• Knowledge

• Understanding

• Application

• Reasoning

• Communication

• Teamwork

• Problem-solving

• Behaviour

Components of Activity Framed

A. Cognitive Domain

Checks thinking skills.

Examples

• Find HCF of three numbers.

• Find LCM using prime factorisation.

• Explain the method.

• Compare two methods.

B. Behavioural Outcomes

Observes learner behaviour.

Examples

• Participates actively.

• Listens carefully.

• Cooperates with classmates.

• Completes work sincerely.

• Shows confidence.

C. 21st Century Skills

Measures modern competencies.

Examples

• Critical Thinking

• Collaboration

• Communication

• Creativity

• Problem Solving

• Decision Making

Example Activity

Topic: HCF and LCM of Three Numbers

Activity

Divide students into groups of four.

Give each group three sets of numbers.

Ask them to:

• Find HCF.

• Find LCM.

• Explain the method.

• Present the solution.

• Compare answers with another group.

Teacher observes

✔ Correct calculation

✔ Teamwork

✔ Mathematical reasoning

✔ Communication

✔ Confidence

✔ Participation

✔ Accuracy

Assessment

The teacher records whether each student:

• Understood the concept.

• Applied the method correctly.

• Worked cooperatively.

• Explained the solution logically.

• Completed the activity independently or with support.

Example entries for your diary (Topic: HCF & LCM of Three Numbers)

Inclusive Teaching Learning Process

Engage through questions; explore factor cards; explain factorisation; group practice; evaluate using worksheets with number cards.

Activity Framed

Group activity solving HCF-LCM problems; observe reasoning, teamwork, communication, accuracy and participation.

These entries satisfy the pedagogical intent of the WBBSE Teachers' Diary while remaining practical for classroom implementation.