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.

ICSE Class 6 English syllabus

ICSE Class 6 English Syllabus – Prose

1. Old Tirumala
2. Clever Jadhoji
3. The White House Circus
4. Across Three Millennia
5. In a Tunnel
6. Uncle Podger Hangs A Picture
7. Goodbye Party For Miss Pushpa T.S
8. The Black Beauty

ICSE Class 6 English Syllabus – Poems

1. Mother To Son
2. The Old Brown Horse
3. The Way Through The Woods
4. The Railway Junction
5. In The Bazaars Of Hyderabad

ICSE Class 6 English Syllabus – Grammar

1. Types of Sentences
2. Articles
3. Conjunctions
4. Idiomatic Phrases
5. Comprehension Questions
6. Nouns
7. Subjects and Predicates
8. Adjectives
9. Prepositions
10. Direct and Indirect Objects
11. Verbs and Objects

The syllabus of ICSE Class 5 Social Studies

The syllabus of ICSE Class 5 Social Studies 

1. Evolution of Mankind
2. The Constitution of India – Basic Features
3. The Earth – Its Geographical Features
4. India – A Diverse Country
5. The Environment – Major Concerns
6. Natural Resources
7. Major Occupations in India

The syllabus of ICSE Class 5 MATHEMATICS

The syllabus of ICSE Class 5 MATHEMATICS

Chapter 1: Numbers
Chapter 2: Number Operations
Chapter 3: Fractions and Decimals
Chapter 4: Playing with Numbers (Factors and Multiples)
Chapter 5: Introduction to Negative Numbers
Chapter 6: Geometry
Chapter 7: Measurement
Chapter 8: Introduction to Percentage
Chapter 9: Data Handling
Chapter 10: Patterns

The syllabus of ICSE Class 5 SCIENCE

The syllabus of ICSE Class 5 SCIENCE

1. Human Body: The Circulatory System
2. Human Body: The Skeletal System
3. Food and Health
4. Pollination
5. Plant Reproduction
6. Solids, Liquids and Gases
7. Interdependence in Living Beings-Plants and Animals
8. Sound and Noise
9. Work and Energy
10. Light and Shadows
11. Simple Machines
12. Cleanliness and Hygiene

TYPES OF RELATIONS

EMPTY RELATIONS - An empty relation is a type of relation, there is no relation between any object / element of sets. Empty relation is also called void relation.
Therefore, R =  ɸ 
EXAMPLE - A = Set of all student of boys school
R = {(a, b) ; a and b are sisters}.
UNIVERSAL - A relation R in a set A is called universal relation if each element of set A is related to every element of A. Universal Relation is also called full relation.
Therefore, R = A❌A.
EXAMPLE -  R = {(a, b) : a and b is greater than 2 feet}.
IDENTITY - A relation R in a set A is called identity relation if every element of set A is related to itself only.
Therefore, R = I {(a,a) belongs to A}.
INVERSE - Let R be a relation from set A to set B.
Therefore R belongs to A❌B.
The relation R-1 is called inverse relation, if relation from set B to A is denoted by R-1 = {(b, a) : a and b belongs to R}.
EXAMPLE - R = {(1, 2), (2,3)}
R-1 = {(2,1), (3,2)}.
REFLEXIVE - If every element of set A maps to itself.
for every a ∈ A, (a, a) ∈ R.
SYMMETRIC - A relation R in a set A is said to be symmetric if (a,b) ∈ R then (b,a) ∈ R.
TRANSITIVE - A relation in a set A is said to be transitive, if 
(a,b) ∈ R , (b, c) ∈ R , then (a, c) ∈ R.
EQUIVALENCE - A relation is said to be equivalence relation if it is reflexive, symmetric and transitive relation.
EXAMPLE - If we throw two dices A and B and note down all the possible outcome.
Define, a relation; R = {(a, b) : a ∈ R , b ∈ R}
we find that {(1,1), (2, 2), (3, 3), (4, 4),......} ∈ R (Reflexive)
If {(a,b) = (1,2) ∈ R} then {(B,A) = (2,1)} ( Symmetric)
IF {(a,b) = (1, 2) ∈ R }, {(b,c) = (2,3) ∈ R } 
then  {(a,c ) = (1,3)  ∈ R } (Transitive ).

Definition of relation with example.

RELATIONS - A relation between two sets in a collection of ordered pair containing one object from each set, if the object x take from first set and object y take from second set then obtained ordered pair (x, y) is in relation. The sets must not be empty.
In other words, A connection between two or more sets is a relation. 
NOTE - Functions are type of relation.

EXAMPLE - Given example we can see objects of  first set is related to objects of second set.
Here, 
R = {( -1, 1), (1, 1), (7, 49), (.5, .49)}.