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Mathematics Class 7 ICSE CISCE Topics and Syllabus

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Topics with syllabus and resources

100.00 Number System
101.00 Integers
  • Multiplication and division of integers
  • Properties of operations on integers: Commutativity, associativity, existence of identity and inverse and distributivity
  • Problem solving using operations on integers
  • Solution of word problems involving integers (all operations)
102.00 Rational Numbers
  • Introduction to rational numbers (withrepresentation on numberline)
  • Word problems onrational numbers (alloperations)
  • Decimal representation of rational numbers
  • Problem solving using operations on rational numbers and decimal fractions
103.00 Fractions (Including Problems)
104.00 Decimal Fractions (Decimals)
105.00 Exponents (Including Laws of Exponents)
  • Exponents only natural numbers.
  • Laws of exponents (through observing patterns to arrive at generalisation.)
  • Application of laws of exponents in simple daily life problems.
200.00 Commercial Arithmetic
201.00 Ratio and Proportion (Including Sharing in a Ratio)
202.00 Unitary Method (Including Time and Work)
  • Unitary method continued, consolidation, general expression for unitary method .
  • Speed, distance, time
203.00 Percent and Percentage
  • Percentage- an introduction.
  • Understanding percentage as a fraction with denominator 100
  • Converting fractions and decimals into percentage and vice-versa.
204.00 Profit, Loss and Discount
205.00 Simple Interest
  • Application to simple interest (time period in complete years).
300.00 Algebra
301.00 Fundamental Concepts (Including Fundamental Operations)
  • Terms related to algebra like constants, variable, terms, coefficient of terms, like and unlike terms, etc.
  • Generate algebraic expressions.
  • Performs operations (addition and subtraction) on algebraic expressions with integral coefficients only.
302.00 Simple Linear Equations (Including Word Problems)
  • Simple linear equations in one variable (in contextual problems) with two operations.
  • Inequalities and solution of simple inequalities in one variable
303.00 Set Concepts (Some Simple Divisions by Vedic Method)
  • Revision idea of sets
  • Equal, equivalent, universal sets
  • Cardinal property of sets
400.00 Geometry
401.00 Lines and Angles (Including Construction of Angles)

Understanding shapes:-

  •             Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite).
  •             Properties of parallel lines with transversal (alternate, corresponding, interior, exterior   angles).     
  •             Construction of a line parallel to a given line from a point outside it .
402.00 Triangles

Properties of triangles:-

  • Angle sum property
  • Exterior angle property
  • Construction of simple triangles.
403.00 Pythagoras Theorem
  • Pythagoras Theorem (Verification only)
404.00 Symmetry (Including Reflection and Rotation)


  • Recalling reflection symmetry
  • Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900, 1200, 1800)
405.00 Recognition of Solids (Representing 3-d in 2-d)

Representing 3-D in 2-D :-

  •  Identification and counting of vertices, edges, faces, nets (for cubes cuboids,   and cylinders, cones).
  •  Mapping the space around approximately through visual estimation.
406.00 Congruency: Congruent Triangles

 Congruence :- 

  • Congruence through superimposition
  • Extend congruence to simple geometrical shapes e.g. triangles, circles.
  • Criteria of congruence
407.00 Mensuration
  • Revision of perimeter and Idea of Circumference of Circle
  • Area
  • Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, rings and combined figures.
500.00 Data Handling (Statistics)
501.00 Data Handling
  • Collection and organisation of data – choosing the data to collect for a hypothesis testing
  • Mean, median and mode of ungrouped data – understanding what they represent
  • Constructing and interpreting bar graphs
502.00 Probability

Feel of probability using data through experiments. Notion of chance in events like tossing coins, dice etc. Tabulating and counting occurrences of 1 through 6 in a number of throws. Comparing the observation with that for a coin. Observing strings of throws, notion of randomness.


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