ICSE Class 6 Mathematics introduces the students to a wide range of mathematical topics. Understanding these topics are very much important to understand the higher level concepts in class 7.

The ICSE 6 mathematics syllabus is designed in such a way that the students will get acquainted with all the basic and important topics of mathematics.

Below is the ICSE Class 6 Mathematics Syllabus:

**Number System:**

- Consolidating the sense of numberness up to 5 digits, size, estimation of numbers, identifying smaller, larger, etc.
- Place Value
- Indian Number System and International Number System. Comparison of International number system and Indian Number System.
- Properties of numbers (Associative, commutative, distributive, multiplicative identity, additive identity)
- Number Line .
- Use of negative numbers.
- Connection of negative numbers in daily life.
- Representation of negative numbers in number line.
- Ordering of negative numbers.
- Addition and subtraction of integers.
- Identification of integers on the number line.
- Idea of sets
- Representation of sets
- Cardinality of sets.
- Representation of fractions.
- Fraction as a division.
- Proper, improper and mixed fractions.
- Equivalent Fractions.
- Operations on fractions.
- Word problems involving addition and subtraction of decimals.
- Simplification of brackets
- HCF and LCM, prime factorization and division method for LCM and HCF, the property LCM * HCF = product of two numbers.

(i)**Numbers:**

(ii)**Natural numbers and Whole numbers:**

(iii) **Negative Numbers and Integers: **

(iv) **Sets**

(v) **Fractions**

(vi) **Playing with numbers**

**Ratio and Proportion**

- Difference between Ratio and Fraction.
- Concept of Ratio.
- Unitary method.
- Word problems based on proportions and ratio.
- Introduction to speed and problems based on speed, time and distance.

**Algebra**

- Introduction to constants, variable and unknown through patterns through appropriate word problems and generalisations
- Introduction to algebraic terms like: expressions, literal numbers, coefficient, factors, polynomials degree, like and unlike terms.
- Framing algebraic expressions.
- Evaluation of algebraic expressions by substituting a value for the variable.
- Linear equation in one variable

**Geometry**

- Line, line segment, ray.
- Open and closed figures.
- Exterior and interior of closed figure.
- Linear and Curvilinear boundaries.
- Angle – Arm, vertex, exterior and interior.
- Triangle – Sides, angles, vertices, interior and exterior, altitude and median
- Quadrilaterals – Vertices, sides, diagonals, angles, diagonals, adjacent sides and opposite sides, interior and exterior of a quadrilateral.
- Circle – Radius, Centre, diameter, sector, arc, segment, chord, circumference, semicircle, exterior and interior.
- Measure of Line Segment, angles.
- Pair of lines – Intersecting and perpendicular lines, Parallel lines.
- Angles – Acute, obtuse, right, straight, complete, reflex and zero angle.
- Classification of triangles on the basis of sides and angles.
- Types of quadrilaterals – Trapezium, parallelogram, rectangle, rhombus, square.
- Identification of 3-D shapes: Cuboids, Cubes, Cylinder, Sphere, Cone, Prism.
- Elements of #D figures.
- Observation and identification of 2-D symmetrical objects for reflection symmetry.
- Operation of reflection.
- Perpendicular bisector
- Drawing of a line segment.
- Construction of angles by using protractor.
- Angle equal to given angle.
- Construction of circle.

(i) **Basic geometrical ideas **

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

(iii) **Symmetry: (reflection)**

(iv) **Constructions (using Straight edge Scale, protractor, compasses )**

**Mensuration**

- Introduction to area and concept of perimeter.
- General understanding of perimeter using many shapes.
- Concept of area, Area of a rectangle and a square.
- Conversion of units : (Mass, time, money, and capacity) from a smaller to larger and vice versa.
- Perimeter of a rectangle – and its special case a square.
- Deducing the formula of a the perimeter for a rectangle and then a square through pattern and generalisation.

**Data Handling**

- Collection of data to examine a hypothesis
- Mean and median of data not having more than ten observations.
- Construction of bar graphs for given data interpreting bar graphs.

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