ICSE Mathematics Class 7 Syllabus

The syllabus consist of six themes - Number System, Ratio and Proportion, Algebra, Geometry, Mensuration, and Data Handling.

Theme 1: Number System

  • 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)
  • Introduction to rational numbers (with representation on number line)
  • Word problems on rational numbers (all operations)
  • Decimal representation of rational numbers
  • Problem solving using operations on rational numbers and decimal fractions
  • Fraction as an operator
  • Reciprocal of a fraction
  • Multiplication and division of decimal fractions
  • Exponents only natural numbers.
  • Laws of exponents (through observing patterns to arrive at generalisation.)
  • Application of laws of exponents in simple daily life problems
  • Revision idea of sets
  • Equal, equivalent, universal sets
  • Cardinal property of sets

Theme 2: Ratio and Proportion

  • Ratio and proportion (revision)
  • Unitary method continued, consolidation, general expression for unitary method
  • Percentage - an introduction.
  • Understanding percentage as a fraction with denominator 100
  • Converting fractions and decimals into percentage and vice-versa.
  • Application to profit and loss (single transaction only)
  • Application to simple interest (time period in complete years).
  • Speed, distance, time

Theme 3: Algebra

  • 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
  • Simple linear equations in one variable (in contextual problems) with two operations.
  • Inequalities and solution of simple inequalities in one variable

Theme 4: Geometry

Understanding shapes

  • Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite)
  • Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles)

Properties of triangles

  • Angle sum property
  • Exterior angle property
  • Pythagoras Theorem (Verification only)

Symmetry

  • Recalling reflection symmetry
  • Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (90°, 120°, 180°)

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.

Congruence

  • Congruence through superimposition
  • Extend congruence to simple geometrical shapes e.g. triangles, circles.
  • Criteria of congruence

Construction

  • Construction of a line parallel to a given line from a point outside it
  • Construction of simple triangles.

Theme 5: 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.

Theme 6: 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
  • 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.