Central Board of Secondary Education (CBSE) has released the latest CBSE Class 9 Mathematics Syllabus 2022-23 for the next CBSE Board Exam. All important topics related to CBSE Class 9 Maths Syllabus 2022-23 are discussed in this blog post. We provide a high-quality PDF of the CBSE Mathematics Syllabus 2022-23 Class 9. Use the below direct link to download CBSE Class 9 Mathematics Syllabus 2022-23 PDf. Read the article till the end for complete details about CBSE Class 9 Mathematics Syllabus 2022-23.
Students of Class 9 must go through this latest CBSE Maths Syllabus thoroughly. Students of Class 9 CBSE Board can download the latest CBSE Class 9 Mathematics Syllabus 2022-23 through the official website of CBSE at cbseacademic.nic.in or the Direct link is given below in the article.
The CBSE Syllabus of Mathematics subject has been changing from time to time according to the growth of the subject and the emerging needs of society. The present revised curriculum has been designed as per the National Curriculum Framework 2005 and the guidelines laid down in the Focus Group on Teaching of Mathematics, to meet the emerging needs of all categories of students. More emphasis is placed on the applications of various concepts to motivate the teacher to connect the subjects to real-life problems and other subject areas.
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The main objective of the curriculum at the secondary level is to enhance the ability of the students to employ mathematics to solve the problems of daily life and to study the subject as a separate subject. It is expected that students will acquire the ability to solve problems using algebraic methods and apply knowledge of simple trigonometry to solve problems of heights and distances. Experimenting with numbers and forms of geometry, formulating hypotheses, and verifying them with further observations is an inherent part of learning mathematics at this stage. Proposed
Courses include the study of number systems, algebra, geometry, trigonometry, mensuration, statistics, graphing and coordinate geometry, etc.
Mathematics should be taught through activities that may include the use of concrete materials, models, patterns, charts, pictures, posters, games, puzzles, and experiments.
CBSE Class 9 Mathematics Syllabus 2022-23 Course Structure
|VI||Statistics and Probability||06|
CBSE Class 9 Maths Syllabus 2022-23 in Details
Unit I: Number System
Chapter 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 root 2, root 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 (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.)
Unit II: Algebra
Polynomials (26) Periods
Definition of a polynomial in one variable, with examples and counterexamples. 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:
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.
Unit III: Coordinate Geometry
Coordinate Geometry (7) Periods
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.
Unit IV: Geometry
Chapter 1: Introduction to Euclid’s Geometry
History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomena into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates, and theorems. The five postulates of Euclid. Showing the relationship
between axiom and theorem, for example:
(Axiom) 1. Given two distinct points, there exists one and only one line through them. (Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.
Chapter 2: Lines and Angles (15) Periods
- (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.
- (Prove) If two lines intersect, vertically opposite angles are equal.
- (Motivate) Lines that are parallel to a given line are parallel.
Chapter 3: Triangles (22) Periods
- (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle
is equal to any two sides and the included angle of the other triangle (SAS Congruence).
- (Prove) Two triangles are congruent if any two angles and the included side of one triangle is
equal to any two angles and the included side of the other triangle (ASA Congruence).
- (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
- (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)
- (Prove) The angles opposite to equal sides of a triangle are equal.
- (Motivate) The sides opposite to equal angles of a triangle are equal.
Chapter 4: Quadrilaterals (13) Periods
- (Prove) The diagonal divides a parallelogram into two congruent triangles.
- (Motivate) In a parallelogram opposite sides are equal, and conversely.
- (Motivate) In a parallelogram opposite angles are equal, and conversely.
- (Motivate) A quadrilateral is a parallelogram if a pair of opposite sides are parallel and equal.
- (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
- (Motivate) In a triangle, the line segment joining the midpoints of any two sides is parallel to the third side, and in half of it and (motivate) its converse.
Chapter 5: Circles (17) Periods
- (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
- (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line is drawn through the center of a circle to bisect a chord is perpendicular to the chord.
- (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.
- (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
- (Motivate) Angles in the same segment of a circle are equal.
- (Motivate) If a line segment joining two points subtends an equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.
- (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180°.
Unit V: Mensuration
Chapter I: Areas (5) Periods
Area of a triangle using Heron’s formula (without proof)
Chapter 2: Surface Areas and Volumes (17) Periods
Surface areas and volumes of spheres (including hemispheres) and right circular cones.
Unit VI: Statistics and Probability
Statistics: Bar graphs, histograms (with varying base lengths), and frequency polygons.
CBSE Class 9 Mathematics Question Paper Design 2022-23
|Typology of Questions||Total Marks||% Weightage |
|Remembering: Exhibit memory of previously learned material by|
recalling facts, terms, basic concepts, and answers.
Understanding: Demonstrate understanding of facts and ideas by
organizing, comparing, translating, interpreting, giving descriptions,
and stating the main ideas.
|Applying: Solve problems to new situations by applying acquired|
knowledge, facts, techniques, and rules in a different way.
|Analyzing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support|
Evaluating: Present and defend opinions by making judgments about information, the validity of ideas, or the quality of work based on a set of criteria.
Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions
Internal Assessment of CBSE Class 9 Maths Syllabus 2022-23
- Pen Paper Test and Multiple Assessment (5+5) 10 Marks
- Portfolio 05 Marks
- Lab Practical (Lab activities to be done from the prescribed books) 05 Marks
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