# ICSE Syllabus Class 6 Maths

## ICSE Class 6 Mathematics Syllabus

Mathematics is the science that deals with the logic of quantity, shape and arrangement. We use Mathematics in everything we do and all around us. Everything in our daily life, including mobile technology, software, computers, ancient and modern architecture, art, engineering, money, and even sports, is built on it. Mathematics promotes logical thinking and mental rigour and is a useful method for developing mental discipline. Additionally, comprehending Mathematics is essential for learning other academic disciplines like Physics, Social studies, music, and art. Power of reasoning, inventiveness, abstract or spatial thinking, critical thinking, problem-solving abilities, and even excellent communication skills are some of the attributes that Mathematics fosters. Learning Mathematics makes life easier by enabling you to make wiser decisions in daily life.

Extramarks is an online learning platform that provides the most reliable study materials for students from grades 1 to 12. Additionally, it aids in the acquisition of new knowledge and abilities. ICSE Class 6 Mathematics syllabus is available for the students on the Extramarks website.

## ICSE Class 6 Mathematics Syllabus 2023-2024

ICSE Class 6 Mathematics syllabus is an outline or summary of a subject. Class 6 Mathematics ICSE syllabus covers portions of topics in a subject. Students can learn more about the course’s objectives, justification, direction, and requirements for success in the subject from the 6th ICSE Mathematics syllabus. Mentioned below are ICSE Class 6 Mathematics syllabus.

 ICSE Class 6 Mathematics Syllabus Unit No. Topics 1. Number System 2. Ratio and Proportion 3. Algebra 4. Geometry 5. Mensuration 6. Data Handling

### Contents of ICSE Class 6 Mathematics Syllabus

Unit 1. Number System

Numbers

• Consolidating the sense and format of different numbers up to five digits, estimation of numbers, identifying smaller, larger numbers, etc.
• Place value
• Operations and word problems on number operations involving large numbers – Conversions of different units of length and mass (from the smaller to the larger units and vice versa).
• Estimation of the outcome of various number related operations.
• Introduction to very large format of numbers upto 8 digits. Familiarity and approximation with large numbers
• Study of numbers in International and Indian Systems and their comparison.

Natural numbers and Whole numbers

• Natural numbers.
• Whole numbers.
• Properties of numbers ( associative, commutative, distributive, multiplicative identity, additive identity).
• Identifying number patterns and formulating rules for operations on numbers.
• Number line.

Negative Numbers and Integers

• Need for negative numbers.
• Connection of negative numbers in daily life.
• Representation of negative numbers on the number line and order of negative numbers, Integers.
• Identification of integers on the number line
• Operation of addition and subtraction of integers
• Addition of integers and subtraction of integers on the number line
• Comparison of integers and ordering of integers.

Sets

• The idea of sets.
• Representation of sets.
• Types of sets: Finite or infinite and empty.
• The cardinality of a set.

Fractions

• Revision of fraction.
• Fractions 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
• Operations on fractions
• Understanding of working of decimal fractions.
• Place value in the context of a decimal fraction.
• Interconversion of fractions and decimal fractions.
• Word problems involve addition and subtraction of decimals (two operations on money, mass, length and temperature).

Playing with numbers

• Simplification of different forms of brackets.
• Factors and Multiples.
• Rule of divisibility for 2, 3, 4, 5, 6, 8, 9, 10, 11.
• Prime & Composite numbers.
• Even and odd number study.
• Other topics around prime factorisation, co-prime numbers, every number is product of its prime factors.
• HCF and LCM, prime factorisation and division method for HCF and LCM.

Unit 2. Ratio and Proportion

• Difference between Ratio and Fraction.
• Concept of Ratio.
• Proportion as the equality of two ratios.
• Unitary method (only with direct variation implied).
• Word problems on ratio and proportions.
• The idea of percent as a fraction with 100 as a denominator
• The idea of speed and simple daily life problems related to time, speed and distance.

Unit 3. Algebra

• Introduction to constants, variables and unknowns through patterns through appropriate word problems and generalisations.
• Generate such patterns with more examples and generalisations.
• Introduction to unknowns using examples of single operations.
• Terminology associated with algebra- literal numbers, terms, factors, expressions, coefficient, degree, polynomials.
• Framing algebraic expressions.
• Like and unlike terms.
• Evaluation of various algebraic expressions by substituting a value for the given variable.
• Introduction to a linear equation in one variable.

Unit 4. Geometry

Basic geometrical ideas (2-D)

• Introduction to geometry.
• Line, line segment, and ray.
• Different forms of interior and exterior closed figure.
• Open and closed figures.
• Linear boundaries, Curvilinear boundaries
• Triangle – angles, vertices, sides, exterior and interior angles, altitude and median.
• Angle – Arm, vertex, exterior and interior.
• Quadrilaterals – Aspects of sides, angles,vertices, diagonals, adjacent sides and opposite sides, interior and exterior of a quadrilateral.
• Circle – Centre, diameter, radius, arc, chord, sector, segment, circumference, semicircle, interior and exterior.

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

• The measure of Line Segment,
• The measure of angles.
• Pair of lines – Perpendicular lines and intersecting lines, Parallel lines.
• Types of Angles – Acute, obtuse, right, reflex, straight, complete and zero angles.
• Classification of triangles based on sides and angles.
• Types of quadrilaterals – Rectagle, square, trapezium, parallelogram, rhombus.
• Identification of 3-D shapes: Cubes, Cuboids, cylinders, spheres, cones, prism (triangular and square), pyramid (triangular and square), Identification and location in the surroundings.
• Elements of 3-D figures. (Faces, Edges and vertices).
• Nets for cubes, cuboids, cones, cylinders, and tetrahedrons.

Constructions (reflection)

• Study of 2-D symmetrical objects for reflection symmetry.
• Understanding of reflection (taking mirror images) of simple 2-D objects.
• Recognising reflection symmetry (identifying axes).

Constructions using Straight edge Scale, protractor, compasses

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

Unit 5. Mensuration

• Concept of perimeter and introduction to the area
• Introduction and a general understanding of perimeter using many shapes.
• Shapes of different kinds with the same perimeter.
• Area concepts and area of a rectangle and a square
• Conversion of units (Mass, money, time and capacity) from smaller to larger and vice-versa
• Counterexamples to different misconceptions related to perimeter and area.
• The perimeter of a rectangle and its special case – a square.
• Deduction of a formula of the perimeter for a rectangle and square through pattern and generalisation.

Unit 6. Data Handling

• Collection of data to examine a hypothesis
• Collecting and organising data – examples of organising it in tally format bars and a table.
• Pictograph – Need for scaling in pictographs interpretation & construction of pictograph
• Mean of data having at most ten observations.
• Construction of different bar graphs for given data interpreting bar graphs.

### ICSE Class 6 Mathematics Syllabus & Study Materials 2023-2024

ICSE Class 6 Mathematics syllabus contains six chapters. ICSE Class 6 Mathematics syllabus includes various topics such as Number System, Ratio and Proportion, Algebra, Geometry, Mensuration, and Data Handling. Learning ICSE Class 6 Mathematics syllabus will enhance your base for higher classes. Students can get the ICSE Class 6 Mathematics syllabus whenever they need it via the Extramarks website.

Apart from ICSE Class 6 Mathematics syllabus, Extramarks also provide various comprehensive materials such as ICSE Solutions, ISC & ICSE Syllabus, ICSE sample question papers, ICSE revision notes, ICSE important questions and ICSE question papers.

Students can click on the links that are given below to access some of these resources:

### Benefits of knowing the ICSE Class 6 Mathematics Syllabus

• ICSE Class 6 Mathematics syllabus also prepares the students to expect, learn and understand complex concepts.
• The best syllabi include a warm greeting to the class, a declaration of the student’s mastery of the material, a statement of the instructor’s commitment to their achievement, and a demystification of the subject matter. Instead of being punitive and unwelcoming, the syllabus language should be supportive and hospitable.
• ICSE Class 6 Mathematics syllabus contains some important concepts which serve as the base for the Mathematics that will be learnt in the higher classes.
• Consider the ICSE Class 6 Mathematics syllabus as useful road maps leading you through the ICSE class 6 examination. Just as you would check a map or directions for different crossings along your trip, scan the syllabus before every session to see what readings are expected and to gain a feel of the day’s theme.
• The ICSE Class 6 Mathematics syllabus has been updated using the most recent ISC and ICSE curriculum.
• Additionally, ICSE Class 6 Mathematics syllabus serves as a field outline for students to refer to long after they have completed their course.
• At the end of reading ICSE Class 6 Mathematics syllabus, you will come to know about the following details to be on a syllabus generally: Goals for learning, what the class will teach or what the students will learn and Why are these goals the most crucial ones in terms of knowledge and skills for the subject.

## ICSE Mathematics Class 6 Syllabus

The syllabus consist of six themes – Number System, Ratio and Proportion, Algebra, Geometry, Mensuration, and Data Handling.

### Theme 1: Number System

Numbers

• Consolidating the sense of numberness up to 5 digits, size, estimation of numbers, identifying smaller, larger, etc.
• Place value (recapitulation and extension)
• Operations on large numbers.
• Word problems on number operations involving large numbers – 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.
• Numbers in Indian and International Systems and their comparison.

Natural numbers and Whole numbers

• Natural numbers.
• Whole numbers.
• Properties of numbers (commutative, associative, distributive, additive identity, multiplicative identity).
• Number line.
• Seeing patterns, identifying and formulating rules for operations on numbers.

Negative Numbers and Integers

• Need for negative numbers.
• Connection of negative numbers in daily life.
• Representation of negative numbers on number line.
• Ordering of negative numbers, Integers.
• Identification of integers on the number line.
• Operation of addition and subtraction of integers.
• Addition and subtraction of integers on the number line.
• Comparison of integers.
• Ordering of integers.

Sets

• Idea of sets.
• Representation of sets.
• Types of sets: Finite/infinite and empty.
• Cardinality of a set.

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.
• Operations on 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)

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. 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 factorisation, 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.

### Theme 2: Ratio and Proportion

• Difference between fraction and ratio.
• Concept of Ratio.
• Proportion as equality of two ratios.
• Unitary method (with only direct variation implied).
• Word problems on ratio and proportions.
• Idea of percent as fraction with 100 as denominator.
• Idea of speed and simple daily life problems related to speed, time and distance.

### Theme 3: Algebra

• Introduction to constants, variable and unknown through patterns and through appropriate word problems and generalisations (For example 1+3=22, 1+3+5=32, 1+3+5+7=42 , sum of first n odd numbers = n2.).
• Generate such patterns with more examples and generalisation.
• Introduction to unknowns through examples with simple contexts (single operations)
• Terminology associated with algebra – like literal numbers, terms, expressions, factor, coefficient, polynomials, degree, like and unlike terms.
• Framing algebraic expressions.
• Evaluation of algebraic expressions by substituting a value for the variable.
• Introduction to linear equation in one variable.

### Theme 4: Geometry

Basic geometrical ideas (2-D)

• Introduction to geometry. Its linkage with and reflection in everyday experiences.
• 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.

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) (Upto octagons regulars as well as non-regular).
• Identification of 3-D shapes: Cubes, Cuboids, cylinder, sphere, cone, prism (triangular and square), 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.

Symmetry (Reflection)

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

Constructions (using Straight edge Scale, protractor, compasses)

• Drawing of a line segment.
• 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.
• Construction of circle.

### Theme 5: Mensuration

• Concept of perimeter and introduction to area
• Introduction and general understanding of perimeter using many shapes.
• Shapes of different kinds with the same perimeter.
• Concept of area, Area of a rectangle and a square
• Conversion of units (Mass, time, money, and capacity) from to smaller to larger and vice-versa
• Counter examples to different misconceptions related to perimeter and area.
• Perimeter of a rectangle – and its special case – a square.
• Deducing the formula of the perimeter for a rectangle and then a square through pattern and generalisation.

### Theme 6: Data Handling

• Collection of data to examine a hypothesis
• Collection and organisation of data – examples of organising it in tally bars and a table.
• Pictograph – Need for scaling in pictographs interpretation & construction of pictograph
• Construction of bar graphs for given data interpreting bar graphs.
• Mean and median of data not having more than ten observations.

## 1. What outcomes will I get by learning ICSE Class 6 mathematics?

ICSE Class 6 Mathematics is the subject where you can learn new concepts which will be useful in the upcoming grades, but here you will have a few new concepts which will be useful till the end of your life.

## 2. Why should I learn Algebra in ICSE Class 6 Mathematics syllabus?

An “algebra” is a higher Mathematics structure that consists of a class of objects and a set of rules for combining them. Variables are used in a generalised form of Mathematics to represent unknown quantities. Its goal is to resolve algebraic equations or equation systems. Gaussian elimination and the quadratic formula are two examples of such solutions. Higher algebraic structures share two key features with basic algebraic structures. A finite number of steps are required for computations, and abstract symbols representing more abstract objects are used in calculations. All elementary algebra is covered in higher algebra, along with group theory, ring theory, field theory, manifolds, and vectors.

## 3. Do I use Geometry in daily life?

Yes. Due to its use in everyday life, Geometry is one of the most important areas of Mathematics. According to legend, the Greek phrase “Geo-metron,” which means measuring and geo, respectively, is where geometry got its name. Studying 2D and 3D shapes is useful not just in the classroom but also in everyday life, art, and science. The simplest aspects of daily life, such as having a scan, producing an image or animated film, building and decorating a home, etc., are all impacted by geometry. The benefits of geometry for improving one’s life are endless.

## 4. Why should I prefer ICSE instead of CBSE?

The Central Board of Secondary Education is also referred to as CBSE, while the Indian Certificate of Secondary Education is referred to as ICSE. Both Boards have unique educational strategies, academic achievements, and other traits. The main distinction between ICSE and CBSE is that the CBSE syllabus focuses more on theoretical subjects, while the ICSE syllabus focuses on practical knowledge.