 # ICSE Class 6 Maths Syllabus

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 Maths syllabus is designed in such a way that the students will get acquainted with all the basic and important topics of Mathematics.

Given below is the ICSE Class 6 Mathematics Syllabus:

### Number System:

1. 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).
2. Natural numbers and Whole numbers:
• Natural numbers.
• Whole numbers.
• Properties of numbers (commutative, associative, distributive, additive identity, multiplicative identity).
• Number line.
3. Fractions
• Revision of Fractions, proper, improper and mixed fractions by activity only (no sums to be set from this topic)
• Equivalent fractions.
• Comparison of fractions.
• Operations on fractions (Avoid large and complicated unnecessary tasks). (Moving towards abstraction in fractions).
• Addition and Subtraction of like and unlike fractions, day to day application problems using fractions.
• Word problems involving addition and subtraction of decimals (two operations together on money, mass, length and temperature).
4. Playing with numbers
• Simplification of brackets.
• Multiples and factors, (Revision of the prime factorisation by tree method and division method to be done in class but no problems to be set for evaluation from these.)
• HCF and LCM, prime factorization and division method for HCF and LCM, the property LCM × HCF = product of two numbers.

### Ratio and Proportion

1. Difference between Ratio and Fraction.
2. Concept of Ratio.
3. Proportion as equality of two ratios.
4. Word problems on ratio and proportions. (Only simple daily life problems to be included).
5. Idea of percent as fraction with 100 as denominator.
6. Idea of speed and simple daily life problems related to speed, time and distance.

### Algebra

1. Introduction to constants, variable and unknown through patterns through appropriate word problems and generalisations
2. Introduction to algebraic terms like expressions, literal numbers, coefficient, factors, polynomials degree, like and unlike terms.
3. Terminology associated with algebra – like literal numbers, terms, expressions, factor, coefficient, polynomials, degree, like and unlike terms.
4. Framing algebraic expressions.
5. Evaluation of algebraic expressions by substituting a value for the variable. (Operations on algebraic expressions not required).
6. Introduction to linear equation in one variable.

### Geometry

1. 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 closed figure.
• Curvilinear and linear 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.
2. 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, complete, reflex and zero angles.
• 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 3-D figures.
3. Constructions (using Straight edge Scale, protractor, compasses )
• Drawing of a line segment.
• Perpendicular bisector
• Construction of angles by using a protractor.
• Angle 60°, 120° (Using Compasses)
• Construction of circle.

### Mensuration

1. Concept of perimeter and introduction to area
2. Concept of area, Area of a rectangle and a square
3. Conversion of units (Mass, time, money, and capacity) from smaller to larger and vice-versa. (Only relevant conversions e.g., milli, centi, m/l/g, kilo to be included)
4. Counter examples to different misconceptions related to perimeter and area (Only discussion in class, no problems or assessments to be done)
5. 3 D Figures – Cubes and cuboids
6. Introduction of Volume

### Data Handling

1. Collection of data to examine a hypothesis
2. Collection and organisation of data – examples of organising it in tally bars and a table.
3. Construction of bar graphs for given data interpreting bar graphs.
4. Mean of data not having more than ten observations

Visit BYJU’S for detailed syllabus of each and every subject, along with interactive videos of the concepts given in it. At BYJU’S, we also provide ICSE and ISC sample papers and previous year question papers.