# CBSE Class 9 Maths Syllabus 2023 For Term 1 & Term 2 | Download PDF

CBSE Syllabus For Class 9 Maths: The old CBSE Class 9 Maths Syllabus may be compared to the updated syllabus to see how the major chapters and topics have been separated to create separate Term 1 and Term 2 syllabi. We’ve included the CBSE Syllabus for Class 9 Maths here, which you can also download in PDF format. In order to earn good grades in all of their period examinations and the Class 9 Maths annual examination, students must analyze the entire syllabus and plan the best strategy for the next academic session.

## CBSE Class 9 Maths Syllabus 2023 For Term 1 & Term 2

From the link below, students can get the most latest CBSE Class 9 Syllabus for the academic year 2023. They can also look through the pdf to see what they should study from the syllabus subjects.

Download CBSE Class 9 Maths Syllabus 2023 For Term 1 & Term 2

### CBSE Syllabus for Class 9 Maths 2023 Course Structure for First Term

 Units Unit Name Marks I Number System 08 II Algebra 05 III Coordinate Geometry 04 IV Geometry 13 V Mensuration 04 VI Statistics & Probability 06 Total 40 Internal Assessment 10 Grand Total 50

CBSE Class 9 Maths Internal Assessment for Term 1

• Periodic Tests: 3 Marks
• Multiple Assessments: 2 Marks
• Portfolio: 2 Marks
• Student Enrichment Activities-practical Work: 3 Marks
• Total Marks: 10 Marks

### CBSE Syllabus for Class 9 Maths 2023 Course Structure for Second Term

 Units Unit Name Marks I Algebra (cont.) 12 II Geometry (cont.) 15 III Mensuration (cont.) 09 IV Statistics & Probability (cont.) 04 Total 40 Internal Assessment 10 Grand Total 50

CBSE Class 9 Maths Internal Assessment for Term 2

Periodic Tests: 3 Marks

Multiple Assessments: 2 Marks

Portfolio: 2 Marks

Student Enrichment Activities-practical Work: 3 Marks

Total Marks: 10 Marks

## Detailed CBSE Class 9 Maths Syllabus 2023 For Term 1 & Term 2

### CBSE Syllabus For Class 9 Maths UNIT I: NUMBER SYSTEMS

1. REAL NUMBERS (16 Periods)

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Representation of terminating / non-terminating recurring decimals on the number line through successive magnification. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as, 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.

3. Definition of the nth root of a real number.

4. 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.

5. 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.)

### CBSE Syllabus For Class 9 Maths UNIT II: ALGEBRA

1. POLYNOMIALS (23 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:

and their use in the factorization of polynomials.

2. LINEAR EQUATIONS IN TWO VARIABLES (14 Periods)

Recall linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of 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. Graph of linear equations in two variables. Examples are problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously.

### CBSE Syllabus For Class 9 Maths UNIT III: COORDINATE GEOMETRY

COORDINATE GEOMETRY (6 Periods)

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, and plotting points in the plane.

### CBSE Syllabus For Class 9 Maths UNIT IV: GEOMETRY

1. INTRODUCTION TO EUCLID’S GEOMETRY (Not for assessment) (6 Periods)

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. Equivalent versions of the fifth postulate. 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.

2. LINES AND ANGLES (13 Periods)

1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.

2. (Prove) If two lines intersect, vertically opposite angles are equal.

3. (Motivate) Results on corresponding angles, alternate angles, and interior angles when a transversal intersects two parallel lines.

4. (Motivate) Lines that are parallel to a given line are parallel.

5. (Prove) The sum of the angles of a triangle is 1800.

6. (Motivate) If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.

3. TRIANGLES (20 Periods)

1. (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).

2. (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).

3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to the three sides of the other triangle (SSS Congruence).

4. (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)

5. (Prove) The angles opposite to equal sides of a triangle are equal. 6. (Motivate) The sides opposite to equal angles of a triangle are equal.

7. (Motivate) Triangle inequalities and the relation between ‘angle and facing side’ inequalities in triangles.

1. (Prove) The diagonal divides a parallelogram into two congruent triangles.

2. (Motivate) In a parallelogram opposite sides are equal, and conversely.

3. (Motivate) In a parallelogram opposite angles are equal, and conversely.

4. (Motivate) A quadrilateral is a parallelogram if a pair of opposite sides are parallel and equal.

5. (Motivate) In a parallelogram, the diagonals bisect each other conversely.

6. (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.

5. AREA (7 Periods)

Review the concept of area and recall the area of a rectangle.

1. (Prove) Parallelograms on the same base and between the same parallels have equal area.

2. (Motivate) Triangles on the same base (or equal bases) and between the same parallels are equal in area.

6. CIRCLES (15 Periods)

Through examples, arrive at a definition of a circle and related concepts-radius, circumference, diameter, chord, arc, secant, sector, segment, and subtended angle.

1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.

2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.

3. (Motivate) There is one and only one circle passing through three given non-collinear points.

4. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.

5. (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.

6. (Motivate) Angles in the same segment of a circle are equal.

7. (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.

8. (Motivate) The sum of either of the pair of opposite angles of a cyclic quadrilateral is 180° and its converse.

7. CONSTRUCTIONS (10 Periods)

1. Construction of bisectors of line segments and angles of measure 60o, 90o, 45o, etc., equilateral triangles.

2. Construction of a triangle given its base, sum/difference of the other two sides, and one base angle.

3. Construction of a triangle of given perimeter and base angles.

### CBSE Syllabus For Class 9 Maths UNIT V: MENSURATION

1. AREAS (4 Periods)

Area of a triangle using Heron’s formula (without proof) and its application in finding the area of a quadrilateral.

2. SURFACE AREAS AND VOLUMES (12 Periods)

Surface areas and volumes of cubes, cuboids, spheres (including hemispheres), and right circular cylinders/cones.

### CBSE Syllabus For Class 9 Maths UNIT VI: STATISTICS & PROBABILITY

1. STATISTICS (13 Periods)

Introduction to Statistics: Collection of data, presentation of data — tabular form, ungrouped / grouped, bar graphs, histograms (with varying base lengths), frequency polygons. Mean, median, and mode of ungrouped data.

2. PROBABILITY (9 Periods)

History, Repeated experiments, and observed frequency approach to probability. The focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real-life situations, and from examples used in the chapter on statistics).

## CBSE Class 9 Mathematics Question Paper Design For Term 1 & Term 2

CLASS – IX (2023)

Time: 3 Hrs. Max. Marks: 80

 INTERNAL ASSESSMENT 20 Marks 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

## CBSE Class 9 Maths PRESCRIBED BOOKS

1. Mathematics – Textbook for class IX – NCERT Publication

2. Guidelines for Mathematics Laboratory in Schools, class IX – CBSE Publication

3. Laboratory Manual – Mathematics, secondary stage – NCERT Publication

4. Mathematics exemplar problems for class IX, NCERT publication.

We have covered the detailed guide on CBSE Syllabus For Class 9 Maths 2023 PDF. Feel Free to ask any Questions Related to CBSE Class 9 in the comment section below.

## FAQs on CBSE Syllabus For Class 9 Maths 2023 For Term 1 & Term 2

### How many units are there in CBSE Syllabus For Class 9 Maths?

There are six units in CBSE Syllabus For Class 9 Maths.

### What are the units in CBSE Syllabus For Class 9 Maths?

I) NUMBER SYSTEMS, II) ALGEBRA, III) COORDINATE GEOMETRY, IV) GEOMETRY, V) MENSURATION, VI) STATISTICS & PROBABILITY

You can download the CBSE Syllabus For Class 9 Maths from the above blog.

### What are the important units in CBSE Syllabus For Class 9 Maths?

While all the units are important in Class 9 mathematics, special attention should be given to algebra and geometry.

### Is NCERT enough for class 9 maths?

Yes, NCERT is sufficient for class 9. For more practice, you can read from RD Sharma.