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Learn MoreLatest Blog: Mastering Polynomials for Class 9
Polynomials form a crucial part of the Class 9 CBSE Mathematics curriculum and are essential for building strong mathematical foundation. Understanding polynomials thoroughly can help students solve complex problems in higher classes.
In this comprehensive guide, we'll cover types of polynomials, degree of polynomials, zeroes of polynomials, factorization, and algebraic identities. We provide step-by-step solutions to typical problems, highlighting common mistakes students make and how to avoid them.
Additionally, we'll discuss the importance of polynomials in real-life applications and provide a curated list of practice questions from NCERT textbook. By the end of this guide, you'll have a solid understanding of polynomials and be able to solve any polynomial-related problem in your exams.
Read Full Article →Mathematics for Class 9
Chapter 1: Number Systems
This chapter introduces real numbers, irrational numbers, decimal expansions, and operations on real numbers.
Key Concepts:
- Real Numbers: Rational and irrational numbers
- Decimal Expansions: Terminating and non-terminating decimals
- Operations: Addition, subtraction, multiplication and division of real numbers
- Rationalization: Rationalizing the denominator
Example Problem:
Find three different irrational numbers between 5/7 and 9/11.
Solution:
Step 1: Convert fractions to decimal form
5/7 ≈ 0.714285...
9/11 ≈ 0.818181...
Step 2: Find irrational numbers between them
1. 0.720720072000... (pattern changes)
2. 0.750750075000...
3. 0.80800800080000...
These are non-terminating, non-repeating decimals, hence irrational.
Practice Worksheet (Downloadable PDF)
Download Number Systems WorksheetChapter 2: Polynomials
This chapter covers types of polynomials, zeroes of polynomials, factorization, and algebraic identities.
Science for Class 9
Chapter 1: Matter in Our Surroundings
This chapter covers physical nature of matter, states of matter, change of state, and evaporation.
Key Concepts:
- States of Matter: Solid, liquid, gas and plasma
- Change of State: Melting, boiling, sublimation, etc.
- Evaporation: Factors affecting evaporation
Interactive Diagram: States of Matter
Fig 1.1: Different states of matter and their properties
Activity:
Demonstrate the effect of temperature and pressure on states of matter using simple experiments.
English for Class 9
Grammar: Tenses and Modals
This section covers present, past and future tenses along with modal verbs and their usage.
| Tense | Form | Example |
|---|---|---|
| Present Perfect | has/have + V3 | I have finished my work |
| Past Continuous | was/were + V+ing | I was eating |
Exercise:
Fill in the blanks with correct form of verbs given in brackets:
- She _____ (complete) her homework before the teacher arrived.
- They _____ (play) cricket when it started raining.
हिंदी - कक्षा 9
पाठ 1: दो बैलों की कथा
प्रेमचंद की कहानी 'दो बैलों की कथा' की व्याख्या एवं महत्वपूर्ण प्रश्नोत्तर।
"हीरा और मोती नाम के दो बैल थे। वे एक दूसरे के बिना रह नहीं सकते थे। जब उन्हें अलग कर दिया गया तो उन्होंने अपने मालिक को सबक सिखाने का निश्चय किया।"
महत्वपूर्ण प्रश्न:
- हीरा-मोती की मित्रता को कहानी में किस प्रकार दर्शाया गया है?
- प्रेमचंद ने इस कहानी के माध्यम से क्या संदेश दिया है?
Computer Science for Class 9
Chapter 1: Basics of Python
Introduction to Python programming language, data types, operators, and simple programs.
Example Program:
# Program to calculate simple interest
principal = float(input("Enter principal amount: "))
rate = float(input("Enter rate of interest: "))
time = float(input("Enter time in years: "))
simple_interest = (principal * rate * time) / 100
print("Simple Interest:", simple_interest)
Explanation: This Python program calculates simple interest by taking principal, rate and time as input from user and applying the formula (P*R*T)/100.
Practical Exercise:
Write a Python program to calculate the area of a circle given its radius.
CBSE Exam Preparation
Time Management Strategy
Allocate specific time slots for each subject based on difficulty level. Follow the 45-15 rule (45 minutes study, 15 minutes break).
Sample Papers
Solve CBSE sample papers to understand the exam pattern and frequently asked questions.
Revision Techniques
Create mind maps and flashcards for quick revision of important concepts.
Sample Paper Pattern
| Subject | Total Marks | Theory | Practical |
|---|---|---|---|
| Mathematics | 80 | 80 | - |
| Science | 80 | 60 | 20 |
Social Science for Class 9
Chapter 1: The French Revolution
This chapter covers the causes, events and consequences of the French Revolution.
Key Features:
Causes
Social, political and economic causes
Events
Storming of Bastille, Reign of Terror
Activity:
Prepare a timeline showing important events of the French Revolution from 1789 to 1799.