Rational Numbers

  • Properties of rational numbers
  • Representation of rational numbers on line number
  • Rational number between two rational numbers

Linear Equation in One Variable

  • Solving linear equations having variable on one side
  • Application of linear equations
  • Solving linear equations having variable on both sides
  • Some more application of linear equations
  • Reducing equations to simpler form

Practical Geometry

  • Constructing a quadrilateral: when the length of four side and diagonal are given
  • When two diagonals and three sides are given
  • When two adjacent sides and three angles are known
  • When three side and two included angles are given
  • Some special cases : Square
  • Some special cases : Rhombus

Data Handling

  • Looking for information
  • Organizing data, Grouping data
  • Circle graph or pie charts
  • Chance and probability

Squares and Square Roots

  • Square of a number
  • Finding Square root of a number by repeated subtraction
  • Finding Square root of a number by prime factorization method
  • Finding Square root of a number by long division method
  • Square root of decimals
  • Estimation of square root

Cubes and Cube Roots

  • Cubes
  • Cube roots
  • Cube root of a cube number

Comparing Quantities

  • Recalling ratio and percentage, finding the increase or decrease percentage, finding discount, Prices related to buying and selling, Sales tax/ value added tax
  • Compound Interest, Deducing formula for compound interest, Rate compounded half yearly
  • Application of compound interest

Visualizing Solid Shapes

  • Views of 3D shapes
  • Mapping shapes around us
  • Faces, Edges and vertices

Exponents and Powers

  • Numbers with negative and positive exponents
  • Law of exponents, use of exponents to express very small and very big numbers

Direct and Inverse Proportions

  • Direct proportion
  • Inverse Proportion

Factorization

  • What is Factorization? method of common factors Factorization by regrouping terms
  • Factorisation using identities
  • Division of algebraic expression

Introduction to Graphs

  • Bar graphs, pie graph and line graph
  • Linear graphs
  • Applications of linear graphs

Playing with Numbers

  • Numbers in general form, reversing the digits of number
  • Letters for digits
  • Test for divisibility by 2,3
  • Test for divisibility by 5, 9, 10