🏆 AIR VIEW INSTITUTE 🏆
📘 Class 6 Mathematics
✨ Chapter – Patterns in Mathematics ✨
🌟 What are Patterns in Mathematics?
Patterns are arrangements of numbers, shapes, letters, or objects that follow a certain rule. They help us predict the next number or figure in a sequence.
Hindi: गणित में पैटर्न का अर्थ है संख्याओं, आकृतियों, अक्षरों या वस्तुओं का ऐसा क्रम जो किसी निश्चित नियम का पालन करता है।
Hindi: गणित में पैटर्न का अर्थ है संख्याओं, आकृतियों, अक्षरों या वस्तुओं का ऐसा क्रम जो किसी निश्चित नियम का पालन करता है।
🎯 Types of Mathematical Patterns
🔢 1. Number Patterns
Example: 2, 4, 6, 8, 10... Rule → Add 2 every time.⭐ 2. Odd Number Pattern
1,3,5,7,9... Rule → Add 2🌸 3. Even Number Pattern
2,4,6,8,10...🔺 4. Shape Patterns
▲ ■ ▲ ■ ▲ ■ The shapes repeat in the same order.🔠 5. Alphabet Pattern
A C E G I... Rule → Skip one letter.
📊 Number Pattern Examples
| Pattern | Rule |
|---|---|
| 5,10,15,20... | Add 5 |
| 3,6,9,12... | Add 3 |
| 1,4,9,16... | Square Numbers |
| 1,8,27,64... | Cube Numbers |
| 100,90,80,70... | Subtract 10 |
🧮 Growing and Shrinking Patterns
🌱 Growing Pattern
5,10,15,20...
Numbers become bigger.
🍂 Shrinking Pattern 50,45,40,35... Numbers become smaller.
🍂 Shrinking Pattern 50,45,40,35... Numbers become smaller.
💡 Real Life Examples
- 🌼 Flower petals
- 🐝 Honeycomb
- 🧱 Brick wall
- 🛣 Road tiles
- 🎨 Rangoli Design
- 🪟 Window Design
- 🦋 Butterfly Wings
✨ Key Features
✅ Easy to identify
✅ Helps improve logical thinking
✅ Makes calculations easier
✅ Used in coding and computer science
✅ Important in Geometry
✅ Helps predict future terms
✅ Useful in daily life
✅ Helps improve logical thinking
✅ Makes calculations easier
✅ Used in coding and computer science
✅ Important in Geometry
✅ Helps predict future terms
✅ Useful in daily life
📚 Important Formula Ideas
➕
Arithmetic Pattern
Next Term = Previous Term + Fixed Number
✖
Multiplication Pattern
Next Term = Previous Term × Fixed Number
➖
Subtraction Pattern
Next Term = Previous Term − Fixed Number
📝 Practice Questions
- Find next number: 2,4,6,8,__
- Complete: 5,10,15,__
- Find next: 1,4,9,16,__
- Find next: A,C,E,G,__
- Complete: 100,90,80,__
- Find the missing term: 3,6,9,__,15
- Write five even numbers after 20.
- Write five odd numbers after 11.
- Create your own shape pattern.
- Draw any repeating pattern.
⭐ Quick Revision
✔ Pattern = Rule + Sequence
✔ Patterns can use Numbers, Shapes, Letters and Objects.
✔ Find the rule first.
✔ Then predict the next term.
✔ Practice regularly to improve logical thinking.
✔ Patterns can use Numbers, Shapes, Letters and Objects.
✔ Find the rule first.
✔ Then predict the next term.
✔ Practice regularly to improve logical thinking.
⚠ Important Exam Tips
✅ Always identify the rule first.
✅ Check whether numbers increase or decrease.
✅ Look carefully for repeated shapes.
✅ Read the question twice before answering.
✅ Check whether numbers increase or decrease.
✅ Look carefully for repeated shapes.
✅ Read the question twice before answering.
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