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Maths
Academic |
CBSE 9TH
Students in Class 9 Math may derive proofs for mathematical concepts involving parallel lines, triangles, quadrilaterals, circles, and so on.
Runali Deb Roy
Last Update : 08 Feb 2023
Overview of CBSE 9th Grade Mathematics Curriculum
The entire academic year has been split by the board. Furthermore, the board has established test patterns for both terms. Through the CBSE Test Pattern, students may learn about many important exam materials. Students may learn about the test time, marks, and types of questions here.
Our website contains comprehensive information about CBSE Class 9 Maths, including example papers, NCERT Solutions, books, curriculum, exam patterns, and more. They can go through everything in this post and prepare for the examinations accordingly. Continue reading to learn more about CBSE Class 9 Maths.
Topics Covered in CBSE 9th Grade Mathematics Course
- Students can use logical reasoning to classify real numbers, prove their qualities, and apply them in various contexts.
- Recognize or categorize polynomials in algebraic expressions and factor them using algebraic identities.
- The concepts studied in class 9 Maths constitute the cornerstone of higher education, pupils will perform well in subsequent classes.
- Students can detect or categorize polynomials among algebraic expressions and factorizes them by using relevant algebraic identities.
Course Content
- Introduction to Number Systems
- Irrational Numbers
- Real Numbers and Their Decimal Expansions
- Representing Real Numbers on the Number Line
- Operations on Real Numbers
- Laws of Exponents for Real Numbers
- Introduction to Polynomials
- Polynomials in One Variable
- Zeros of a Polynomial
- Remainder Theorem
- Factorisation of Polynomials
- Algebraic Identities
- Introduction to Coordinate Geometry
- Cartesian System
- Plotting a Point in the Plane if its Coordinates are given
- Introduction to Linear Equations in Two Variables
- Linear Equations
- Solution of a Linear Equation
- Graph of a Linear Equation in Two Variables
- Equations of Lines Parallel to x-axis and y-axis
- Introduction to Euclid’s Geometry
- Euclid’s Definitions, Axioms and Postulates
- Equivalent Versions of Euclid’s Fifth Postulate
- Introduction to Lines and Angles
- Basic Terms and Definitions
- Intersecting Lines and Non-intersecting Lines
- Pairs of Angles
- Parallel Lines and a Transversal
- Lines Parallel to the same Line
- Angle Sum Property of a Triangle
- Introduction
- Congruence of Triangles
- Criteria for Congruence of Triangles
- Some Properties of a Triangle
- Some More Criteria for Congruence of Triangles
- Inequalities in a Triangle
- Introduction to Quadrilaterals
- Angle Sum Property of a Quadrilateral
- Types of Quadrilaterals
- Properties of a Parallelogram
- Another Condition for a Quadrilateral to be a Parallelogram
- The Mid-point Theorem
- Introduction to Areas of Parallelograms and Triangles
- Figures on the same Base and Between the same Parallels
- Parallelograms on the same Base and between the same Parallels
- Triangles on the same Base and between the same Parallels
- Introduction to Circles
- Circles and its Related Terms: A Review
- Angle Subtended by a Chord at a Point
- Perpendicular from the Centre to a Chord
- Circle through Three Points
- Equal Chords and their Distances from the Centre
- Angle Subtended by an Arc of a Circle
- Cyclic Quadrilaterals
- Introduction to Constructions
- Basic Constructions
- Some Constructions of Triangles
- Summary
- Introduction to Heron’s Formula
- Area of a Triangle – by Heron’s Formula
- Application of Heron’s Formula in finding Areas of Quadrilaterals
- Introduction to Surface Areas and Volumes
- Surface Area of a Cuboid and a Cube
- Surface Area of a Right Circular Cylinder
- Surface Area of a Right Circular Cone
- Surface Area of a Sphere
- The volume of a Cuboid
- The volume of a Cylinder
- The volume of a Right Circular Cone
- Volume of a Sphere
- Introduction to Statistics
- Collection of Data
- Presentation of Data
- Graphical Representation of Data
- Measures of Central Tendency
- Introduction to Probability
- Probability – an Experimental Approach
2023 CBSE Class 9 Maths Exam Pattern
The CBSE has issued a specific evaluation methodology for Class 9 exams. The full academic year has been split by the board. Furthermore, the board has established test patterns for both terms. Through the CBSE Test Pattern, students may learn about many important exam materials. Students may learn about the test time, marks, and types of questions here.
Class 9 Math's
Class 9 Math is an exciting topic that serves as a watershed moment in the lives of many students. Understanding class 9 Math will help pupils perform well in higher classes because the concepts studied are the foundation of higher education.
Students can also go to the class 9 Math's index page to obtain full notes for each chapter's subtopics. Class 9 Math's notes are highly beneficial in helping pupils grasp ideas in depth. The following is a list of chapter-by-chapter notes for class 9 Math.
- Duration 12 Months
- Level Beginner
- Lectures 12 Lectures
- Language English
- Enrolled 100+ Enrolled
- Recorded Video 42
- Notes 28
- MCQs 300
- PPTs 50
- Live Test Series 80
- E-Book 30
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Important of Class 9 Mathematics
Class 9 Mathematics sets the groundwork for higher classes since students take their first board exam in class 10. Mathematics must be practiced continuously from the start in order for the concepts to be clear. Students in class 9 require thorough preparation for the test since it serves as the foundation for the class 10 board exam. Good grades in class 9 boost a child's confidence and inspire them to do well in class 10.
Course Structure
1
Unit I: Number Systems
1. Real Numbers (18 Periods)
- Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
- Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and, conversely, viz., every point on the number line represents a unique real number.
- Definition of nth root of a real number.
- Rationalization (with precise meaning) of real numbers of the type (and their combinations) where x and y are natural numbers and a and b are integers.
- Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing the learner to arrive at the general laws.)
2
Unit II: Algebra
1. Polynomials (26 Periods)
Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial, and zero polynomial. Degree of a polynomial. Constant, linear, quadratic, and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠0 where a, b, and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall algebraic expressions and identities. Verification of identities:
2. Linear Equations in Two Variables (16 Periods)
Recall linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0. Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.
Course Instructor
Shruti Koli
It's well-organized and simple to use. Lesson themes are fascinating, and genuine student writing samples will stimulate pupils. Some well-designed slideshows are included as supplemental content.
Ravikant Sharma
The instructor was extremely well-informed and eloquent. This was my first experience taking a lesson remotely, and I appreciated how, although being in a class with other people, the real physical location was private, peaceful, and conducive to studying!
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- Course videos and readings
- Graded quizzes and assignments
- Shareable Certificate upon completion
Frequently Asked Questions
All classes will be offered only through the app/web version (app link).
This batch is for students
All lectures will be recorded.
The course cost given is an annual charge. It is a one-time fee.
Go to Batch>select subject>you can only view the dates of the preceding seven days.
If you wish to see previous lectures, select the "Previous courses / classroom materials" option >You will find all of the subjects there; simply click on your topic to get the videos and notes.
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