CBSE Syllabus for Class 6 Mathematics 2024-25

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Latest CBSE Syllabus for Class 6 Mathematics 2024-25

The CBSE Class 6 Mathematics syllabus for the 2024-2025 academic year, based on the updated curriculum from cbse.nic.in, is designed to build a strong foundation in key mathematical concepts. This syllabus covers important topics such as numbers, fractions, geometry, measurement, and basic algebra, aimed at enhancing students' problem-solving and critical thinking skills. The latest syllabus is available for free download in PDF format, offering easy access to students and educators. By following this syllabus, students can effectively prepare for their exams and strengthen their understanding of mathematics, ensuring academic success in the subject.

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CBSE Syllabus Class 6 Mathematics

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Latest CBSE Syllabus for Class 6 Mathematics

CBSE Academics Unit - Curriculum Syllabus

The CBSE Class 6 Mathematics syllabus for the 2024-2025 academic year is carefully crafted by the Central Board of Secondary Education (CBSE) through its specialized academic unit. Published on cbse.nic.in, the syllabus outlines a comprehensive list of topics and chapters designed to build a solid foundation in mathematics. Key subjects include numbers, fractions, geometry, measurement, and basic algebra, aimed at enhancing students' mathematical reasoning and problem-solving skills. CBSE question papers for Class 6 are based on this syllabus, ensuring alignment with the prescribed curriculum. This structured approach helps students prepare effectively for their exams and gain a strong understanding of core mathematical concepts.

CBSE Syllabus category

Secondary School Curriculum (class 9 and class 10)
Senior School Curriculum (class 11 and class 12)
Vocational Courses (Class 11 and class 12)

Course Structure for Class-VI

Number System (60 hrs)

(i). Knowing our Numbers:

Consolidating the sense of number ness up to 5 digits, Size, estimation of numbers, identifying smaller, larger, etc. Place value (recapitulation and extension), connectives: use of symbols =, >, < <,>and use of brackets, word problems on number operations involving large numbers up to a maximum of 5 digits in the answer after all operations. This would include conversions of units of length & mass (from the larger to the smaller units), estimation of outcome of number operations. Introduction to a sense of the largeness of, and initial familiarity with, large numbers up to 8 digits and approximation of large numbers)

(ii). Playing with Numbers:

Simplification of brackets, Multiples and factors, divisibility rule of 2, 3, 4, 5, 6, 8, 9, 10, and 11. (All these through observing patterns. Children would be helped in deducing some and then asked to derive some that are a combination of the basic patterns of divisibility.) Even/odd and prime/composite numbers, Co-prime numbers, prime factorization, every number can be written as products of prime factors. HCF and LCM, prime factorization and division method for HCF and LCM, the property LCM × HCF = product of two numbers. All this is to be embedded in contexts that bring out the significance and provide motivation to the child for learning these ideas.

(iii). Whole numbers

Natural numbers, whole numbers, properties of numbers (commutative, associative, distributive, additive identity, multiplicative identity), number line. Seeing patterns, identifying and formulating rules to be done by children. (As familiarity with algebra grows, the child can express the generic pattern.)

(iv). Negative Numbers and Integers

How negative numbers arise, models of negative numbers, connection to daily life, ordering of negative numbers, and representation of negative numbers on number line. Children to see patterns identify and formulate rules. What are integers, identification of integers on the number line, operation of addition and subtraction of integers, showing the operations on the number line (addition of negative integer reduces the value of the number) comparison of integers, ordering of integers.

(v). Fractions: Revision of what a fraction is, Fraction as a part of whole, Representation of fractions (pictorially and on number line), fraction as a division, proper, improper & mixed fractions, equivalent fractions, comparison of fractions, addition and subtraction of fractions (Avoid large and complicated unnecessary tasks). (Moving towards abstraction in fractions) Review of the idea of a decimal fraction, place value in the context of decimal fraction, inter conversion of fractions and decimal fractions (avoid recurring decimals at this stage), word Problems involving addition and subtraction of decimals (two operations together on money, mass, length and temperature)

Algebra (15 hrs.)

INTRODUCTION TO ALGEBRA

Introduction to variable through patterns and through appropriate word problems and generalizations (example 5 × 1 = 5 etc.)
Generate such patterns with more examples.
Introduction to unknowns through examples with simple contexts (single operations)

Ratio and Proportion (15 hrs.)

Concept of Ratio
Proportion as equality of two ratios
Unitary method (with only direct variation implied)
Word problems

Geometry (65 hrs.)

(i). Basic geometrical ideas (2 -D):

Introduction to geometry. Its linkage with and reflection in everyday experience.

Line, line segment, ray.

Open and closed figures.

Interior and exterior of closed figures.

Curvilinear and linear boundaries

Angle — Vertex, arm, interior and exterior,

Triangle — vertices, sides, angles, interior and exterior, altitude and median

Quadrilateral — Sides, vertices, angles, diagonals, adjacent sides and opposite sides (only convex quadrilateral are to be discussed), interior and exterior of a quadrilateral.

Circle — Centre, radius, diameter, arc, sector, chord, segment, semicircle, circumference, interior and exterior.

(i). Understanding Elementary

Shapes (2-D and 3-D):

Measure of Line segment
Measure of angles
Pair of lines – Intersecting and perpendicular lines – Parallel lines
Types of angles- acute, obtuse, right, straight, reflex, complete and zero angle
Classification of triangles (on the basis of sides, and of angles)
Types of quadrilaterals – Trapezium, parallelogram, rectangle, square, rhombus.
Simple polygons (introduction) (Up to octagons regulars as well as non-regular).
Identification of 3-D shapes: Cubes, Cuboids, cylinder, sphere, cone, prism (triangular), pyramid (triangular and square) Identification and locating in the surroundings
Elements of 3-D figures. (Faces, Edges and vertices)
Nets for cube, cuboids, cylinders, cones and tetrahedrons.

(iii).Symmetry: (reflection)

Observation and identification of 2-D symmetrical objects for reflection symmetry
Operation of reflection (taking mirror images) of simple 2-D objects
Recognizing reflection symmetry (identifying axes)

(iv).Constructions (using Straight edge Scale, protractor, compasses) • Drawing of a line segment

Construction of circle
Perpendicular bisector
Construction of angles (using protractor)
Angle 60°, 120° (Using Compasses)
Angle bisector- making angles of 30°, 45°, 90° etc. (using compasses)
Angle equal to a given angle (using compass)
Drawing a line perpendicular to a given line from a point a) on the line b) outside the line.