ICSE Class 6 Maths Syllabus

 ICSE Class 6 Maths Syllabus

1. Number System:
   1. Numbers:
      1. Consolidating the sense of numbers up to 5 digits, size, estimation of numbers, identifying smaller, larger, etc.
      2. Place Value
      3. Indian Number System and International Number System. Comparison of the International number system and Indian Number System.
   2. Natural numbers and Whole numbers:
      1. Properties of numbers (Associative, commutative, distributive, multiplicative identity, additive identity)
      2. Number Line.
   3. Negative Numbers and Integers:
      1. Use of negative numbers.
      2. Connection of negative numbers in daily life.
      3. Representation of negative numbers in the number line.
      4. Ordering of negative numbers.
      5. Addition and subtraction of integers.
      6. Identification of integers on the number line.
   4. Sets
      1. Idea of sets
      2. Representation of sets
      3. The cardinality of sets.
   5. Fractions
      1. Representation of fractions.
      2. Fraction as a division.
      3. Proper, improper and mixed fractions.
      4. Equivalent Fractions.
      5. Operations on fractions.
      1. Word problems involving addition and subtraction of decimals.
   6. Playing with numbers
      1. Simplification of brackets
      2. HCF and LCM, prime factorization and division method for LCM and HCF, the property LCM * HCF = product of two numbers.
2. Ratio and Proportion
   1. Difference between Ratio and Fraction.
   2. Concept of Ratio.
   3. Unitary method.
   4. Word problems based on proportions and ratio.
   5. Introduction to speed and problems based on speed, time and distance.
3. 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. Framing algebraic expressions.
   4. Evaluation of algebraic expressions by substituting a value for the variable.
   5. Linear equation in one variable
4. Geometry
   1. Basic geometrical ideas
      1. Line, line segment, ray.
      2. Open and closed figures.
      3. Exterior and interior of a closed figure.
      4. Linear and Curvilinear boundaries.
      5. Angle – Arm, vertex, exterior and interior.
      6. Triangle – Sides, angles, vertices, interior and exterior, altitude and median
      7. Quadrilaterals – Vertices, sides, diagonals, angles, diagonals, adjacent sides and opposite sides, interior and exterior of a quadrilateral.
      8. Circle – Radius, Centre, diameter, sector, arc, segment, chord, circumference, semicircle, exterior and interior.
   2. Understanding Elementary Shapes (2-D and 3-D)
      1. Measure of Line Segment, angles.
      2. Pair of lines – Intersecting and perpendicular lines, Parallel lines.
      3. Angles – Acute, obtuse, right, straight, complete, reflex and zero angles.
      4. Classification of triangles on the basis of sides and angles.
      5. Types of quadrilaterals – Trapezium, parallelogram, rectangle, rhombus, square.
      6. Identification of 3-D shapes: Cuboids, Cubes, Cylinder, Sphere, Cone, Prism.
      7. Elements of #D figures.
   3. Symmetry: (reflection)
      1. Observation and identification of 2-D symmetrical objects for reflection symmetry.
      2. Operation of reflection.
   4. Constructions (using Straight edge Scale, protractor, compasses )
      1. Perpendicular bisector
      2. Drawing of a line segment.
      3. Construction of angles by using a protractor.
      4. An angle equal to the given angle.
      5. Construction of circle.
5. Mensuration
   1. Introduction to area and concept of perimeter.
   2. General understanding of perimeter using many shapes.
   3. Concept of area, Area of a rectangle and a square.
   4. Conversion of units : (Mass, time, money, and capacity) from a smaller to larger and vice versa.
   5. The perimeter of a rectangle – and its special case a square.
   6. Deducing the formula of the perimeter for a rectangle and then a square through pattern and generalisation.
6. Data Handling
   1. Collection of data to examine a hypothesis
   2. Mean and median of data not having more than ten observations.
   3. Construction of bar graphs for given data interpreting bar graphs.