🎯 2. Learning Objectives (अधिगम उद्देश्य)
Students will be able to:
👉 Understand arithmetic expressions
👉 अंकगणितीय व्यंजकों को समझ सकेंगे
👉 Apply operations correctly
👉 सही तरीके से गणनाएँ कर सकेंगे
👉 Use BODMAS rule
👉 BODMAS नियम का उपयोग कर सकेंगे
👉 Solve expressions step-by-step
👉 चरणबद्ध तरीके से हल कर सकेंगे
🧠 3. Previous Knowledge (पूर्व ज्ञान)
- Basic operations: addition, subtraction, multiplication, division
👉 जोड़, घटाव, गुणा, भाग का ज्ञान
🧩 4. Teaching Aids (शिक्षण सामग्री)
- Blackboard / Smartboard
- Flashcards
- Worksheets
- Number cards
📖 5. Detailed Study Material (विस्तृत अध्ययन सामग्री)
🔢 A. What is an Arithmetic Expression?
(अंकगणितीय व्यंजक क्या है?)
An arithmetic expression is a combination of numbers and operations.
👉 अंकगणितीय व्यंजक संख्याओं और संक्रियाओं (जोड़, घटाव आदि) का मिश्रण होता है।
Examples:
- 5 + 3
- 10 − 2 × 4
- (8 + 2) × 5
⚙️ B. Basic Operations (मूल संक्रियाएँ)
- Addition (+) → जोड़
- Subtraction (−) → घटाव
- Multiplication (×) → गुणा
- Division (÷) → भाग
📏 C. BODMAS Rule (क्रम का नियम)
Explanation:
- B → Brackets (कोष्ठक)
- O → Orders (powers)
- D → Division
- M → Multiplication
- A → Addition
- S → Subtraction
👉 Always solve in this order
✏️ D. Solving Expressions (व्यंजकों को हल करना)
Example 1:
Step:
- Multiply first → 2 × 4 = 8
- Then subtract → 10 − 8 = 2
👉 Answer = 2
Example 2:
Step:
- Bracket → 8 + 2 = 10
- Multiply → 10 × 5 = 50
👉 Answer = 50
Example 3:
Step:
- Division → 20 ÷ 5 = 4
- Multiplication → 3 × 2 = 6
- Addition → 4 + 6 = 10
👉 Answer = 10
⚠️ E. Common Mistakes (सामान्य गलतियाँ)
❌ Solving left to right only
👉 केवल बाएं से दाएं हल करना गलत है
❌ Ignoring brackets
👉 कोष्ठक को नजरअंदाज करना
🧑🏫 6. Teaching Procedure (शिक्षण प्रक्रिया)
🔶 Introduction (प्रस्तावना) – 5 min
Ask:
- What is 5 + 3 × 2?
Students may give different answers → introduce rule
🔶 Presentation (प्रस्तुतीकरण) – 20 min
- Explain arithmetic expressions
- Teach BODMAS using examples
- Solve on board
🔶 Activity (गतिविधि) – 10 min
👉 Give expressions on cards
👉 Students arrange steps correctly
🔶 Practice (अभ्यास) – 15 min
- Solve problems
- Peer checking
📝 7. Practice Questions (अभ्यास प्रश्न)
✏️ A. Solve (हल करें)
- 15 + 5 × 2
- 20 − 4 × 3
- (10 + 5) × 3
- 30 ÷ 5 + 7
- (8 + 4) ÷ 2
✏️ B. Fill in the blanks
- 10 + 2 × 3 = ___
- (6 + 4) × 2 = ___
✏️ C. True / False
- Multiplication is done before addition
- Brackets are solved last
✏️ D. Challenge Questions
- 50 − (10 × 3) + 5
- 40 ÷ 5 × 2 + 6
🎯 8. Assessment (मूल्यांकन)
- Oral questioning
- Worksheet
- Board work
🏠 9. Homework (गृहकार्य)
- Solve 10 arithmetic expressions
- Create 5 expressions and solve them
💡 10. Teacher Tips
✔ Use real-life examples (shopping, money)
✔ Encourage step-by-step solving
✔ Focus on BODMAS clarity