# CBSE class 6th maths syllabus: Detailed Syllabus | Books

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## CBSE Class 6th Syllabus Time Allocation

CBSE has distributed the CBSE Class 6th mathematics syllabus under different sub modules and allotted minimum time limit to each module. These time limits are the directions to schools or teachers that should be followed. In this post, we have provided CBSE class 6th maths syllabus in detailed format along with the Duration to be covered during teaching each topic.

 Topics to be Covered Time  (In Hours) Number System : Knowing our numbers, Playing with numbers, Whole numbers and Number System, Negative numbers and Integers, Fractions and Decimals 60 Algebra : Introduction to Variables and Constants, Introduction to Algebra, Operations on Algebraic Expressions, Linear Equation in One Variable 25 Basic Geometry : Introduction to Geometry, Introduction to a Line, Introduction to an Angle, Constructions, Defining a Triangle and its Components, Defining a Quadrilateral and its components, Defining a Circle and its Components 65 Understanding Elementary Shapes: Open and Closed Figures, Defining a Polygon, Triangle, Quadrilaterals and Types of Quadrilaterals, Identification of 3D Shapes, Elements Of 3D Figures, Nets Of 3D Figures, Symmetry 25 Mensuration : Introduction To Perimeter, Introduction To Area, Units Of Measurements 15 Data Handling: Data, Pictograph, Bar Graph 10

## CBSE class 6th maths syllabus (Detailed)

Detailed syllabus for Class 6th Mathematics is given below. Subject is divided into different modules and sub modules. you can also download the syllabus in the pdf format.

### Number System

#### Knowing our Numbers

• Consolidating the sense of 5 digit numbers, place value of numbers, estimation of numbers to the nearest tens, identifying smaller and larger of the given numbers.
• Defining the concept of place value and extend it to the use of large numbers. Use of connectives <,=,>.
• Basic application of number operations like Word problems on number involving large numbers up to a maximum of 5 digits in the answer after all operations.
• Approximation of large numbers includes an introduction to the sense of largeness and familiarity with large numbers up to 8 digits.

#### Playing with Numbers

• Simplification of brackets, Multiples and factors, divisibility rule of 2, 3, 4, 5, 6, 8, 9, 10, 11. (All these through observing patterns.
• 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 X 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.

#### 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.)

#### Negative Numbers and Integers

• How negative numbers arise, models of negative numbers, connection to daily life, ordering of negative numbers, 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?

#### Fractions and Decimals

• Revision of what a fraction is, Fraction as a part of the whole, Representation of fractions (pictorially and on the 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).
• Review of the idea of a decimal fraction, place value in the context of decimal fraction, interconversion 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

• Introduction to the term variable through patterns and through appropriate word problems and generalizations.
• Introducing algebra through generalizations, patterns. Introduction to an algebraic expression, its terms and coefficients, like and unlike terms.
• Operations on Algebraic Expressions such as Addition and subtraction of algebraic expressions. Value of an algebraic expression.
• Concept of Ratio and Proportion as equality of two ratios.
• Linear Equation in One Variable like Simple direct use of symbols in as variables in one term equations e.g., 5xa=10. Word problems on ratio and proportion using common sense.

### Geometry

• Introduction to Geometry and to Reflect the application of geometry in everyday life.
• Introduction to a Line like Defining a line, line segment and ray. Drawing all of them. Pair of straight lines- intersecting and parallel; perpendicular lines.
• Introducing and Defining an angle, its vertex, arm, interior and exterior. Types of angle: acute angle, obtuse angle, right angle, straight angle, reflex angle, complete angle and zero angle. Measure of angle, Angle bisector.
• Constructing a perpendicular to a given line from a point on the line and outside the line Construction of angles equal to the given angle using compass. Construction of angles of measure 60°,120°,30°,90°,45° using compass.
• Defining a Triangle and its Components like vertices, sides, angles, interior and exterior, altitude and median.
• Defining a Quadrilateral and its components like Sides, vertices, angles, diagonals,adjacent sides and opposite sides (only convex quadrilateral).Interior and exterior of a quadrilateral.
• Defining a Circle and its Components like Center, radius, diameter, arc, sector, chord, segment, semicircle, circumference, interior and exterior. Construction of simple circle.

### Understanding Elementary Shapes (2-D and 3-D)

• Basic concept about Open and Closed Figures. Observe the shapes around. Talk about them in reference to their boundaries. Defining open and closed figures. Interior and exterior of a closed figure.
• Defining a Polygon and its curvilinear and linear boundaries. Introduction to simple polygons, both regular and irregular (up to Octagons).
• Defining a triangle, Classification of triangles on the basis of sides and angles.
• Defining a Quadrilaterals and Types of Quadrilaterals-Trapezium, Parallelogram, Rectangle, Square, Rhombus.
• Identification of 3-D Shapes like Cubes, Cuboids, Cylinder, Sphere, Cone, Prism (triangular), Pyramid (triangular and square); locating them in the surroundings.
• Identifying the Elements of 3D Figures- faces, edges and vertices of 3D figures.
• Creating solids namely cube, cuboids, cylinder, cones and tetrahedrons from their nets.
• Observing and identifying the 2D symmetrical objects for reflection symmetry. Taking mirror images of simple 2D objects. Recognizing symmetry (identifying axes).

### Mensuration

• Introducing perimeter using different shapes. Understanding that shapes of different kinds may have the same perimeter through examples. Perimeter of a rectangle and square as a special rectangle; deducing the formula through patterns and then generalization.
• Introducing the concept of area. Area of a rectangle and a square. Counter examples to different misconceptions related to perimeter and area.
• Basic idea about Units of Measurement. Make sensible estimates of measures using standard units of length, mass and capacity.

### Data handling

• Definition of data, representation of discrete data, collection and organization of data- examples of organizing it in tally bars and a table.
• Definition of Pictograph, need for scaling in pictographs, construction and interpretation.
• Defining the concept of Bar graphs. Construction of bar graphs for a given data and interpretation of bar graphs. Interpretation of tables, lists, charts and graphs.

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