Syllabus class 9 Maths

CLASS IX CBSE MATHS COURSE STRUCTURE (2025-26)

COURSE STRUCTURE CLASS – IX
Units	Unit Name	Marks
I	NUMBER SYSTEMS	10
II	ALGEBRA	20
III	COORDINATE GEOMETRY	04
IV	GEOMETRY	27
V	MENSURATION	13
VI	STATISTICS	06
TOTAL		80

CLASS IX – UNIT-WISE COMPETENCIES

S. No.	Content	Competencies
UNIT I: NUMBER SYSTEMS
1.	REAL NUMBERS	• Develops understanding of real numbers and their properties • Differentiates rational and irrational numbers
2.	Number Representation	• Represents rational/irrational numbers on number line • Performs operations on real numbers
3.	Irrational Numbers	• Understands existence of √2, √3 etc. • Explains real number representation
4.	Rationalization	• Rationalizes expressions like 1/(a+b√x) • Applies laws of exponents

S. No.	Content	Competencies
UNIT II: ALGEBRA
1.	POLYNOMIALS	• Defines and classifies polynomials • Applies Remainder and Factor theorems
2.	Factorization	• Factors quadratic and cubic polynomials • Verifies algebraic identities
3.	LINEAR EQUATIONS	• Solves linear equations in two variables • Visualizes solutions graphically

S. No.	Content	Competencies
UNIT III: COORDINATE GEOMETRY
1.	Cartesian Plane	• Understands coordinate system • Describes spatial relationships

S. No.	Content	Competencies
UNIT IV: GEOMETRY
1.	Euclid’s Geometry	• Understands axioms and postulates • Applies Euclid’s geometry concepts
2.	Lines and Angles	• Proves angle relationships • Solves parallel line problems
3.	Triangles	• Applies congruence criteria • Solves triangle problems
4.	Quadrilaterals	• Understands parallelogram properties • Solves quadrilateral problems
5.	Circles	• Proves circle theorems • Solves circle geometry problems

S. No.	Content	Competencies
UNIT V: MENSURATION
1.	AREAS	• Applies Heron’s formula • Calculates triangle areas
2.	SURFACE AREAS & VOLUMES	• Calculates surface areas/volumes • Solves 3D shape problems

S. No.	Content	Competencies
UNIT VI: STATISTICS
1.	STATISTICS	• Creates bar graphs and histograms • Interprets frequency polygons

QUESTION PAPER DESIGN – CLASS IX (2025-26)

MATHEMATICS QUESTION PAPER DESIGN Time: 3 Hrs. \| Max. Marks: 80
S. No.	Typology of Questions	Marks & Weightage
1.	Remembering & Understanding	43 Marks (54%)
2.	Applying	19 Marks (24%)
3.	Analysing, Evaluating & Creating	18 Marks (22%)
TOTAL		80 Marks (100%)

INTERNAL ASSESSMENT – 20 MARKS
Pen Paper Test & Multiple Assessment	10 Marks
Portfolio	05 Marks
Lab Practical (Prescribed books activities)	05 Marks
GRAND TOTAL (Theory + Internal)	100 Marks