S. NO | CHAPTERS NAME | TOPICS COVERED |
1 | Rational Numbers | (1) Properties of Rational Numbers (2) Commutativity (3) Associativity (4) Negative of a number (5) Reciprocal (6) Distributivity of multiplication over addition for rational numbers (7) Representation of Rational Numbers on the Number Line (8) Rational Numbers between Two Rational Numbers |
2 | Linear Equations in One Variable | (1) Solving Equations that have Linear Expressions on one Side and Numbers on the Other Side (2) Solving Equations having the Variable on besides (3) Applications (4) Reducing Equations to Simpler Form (5) Equations Reducible to the Linear Form |
3 | Understanding Quadrilaterals | (1) Polygons (2) Sum of the Measures of the Exterior Angles of a Polygon (3) Kinds of Quadrilaterals (4) Parallelogram (5) A rectangle (6) A square |
4 | Practical Geometry | (1) Constructing a Quadrilateral When two diagonals and three sides are given (2) Some Special Cases |
5 | Data Handling | (1) Looking for Information (2) Organising Data (3) Grouping Data (4) Circle Graph or Pie Chart (5) Chance and Probability |
6 | Squares and Square Roots | (1) Properties of Square Numbers (2) Finding the Square of a Number (3) Pythagorean triplets (4) Square Roots (5) Finding square root through prime factorization (6) Square Roots of Decimals (7) Estimating Square Root |
7 | Cubes and Cube Roots | (1) Cubes (2) Cube Roots (3) Cube root of a cube number |
8 | Comparing Quantities | (1) Ratios and Percentages (2) Finding the Increase or Decrease in percent (3) Finding Discounts (4) Prices Related to Buying and Selling (Profit and Loss) (5) Sales Tax/Value Added Tax/Goods and Services Tax (6) Compound Interest (7) Deducing a Formula for Compound Interest (8) Rate Compounded Annually or Half Yearly (Semi-Annually) (9) Applications of Compound Interest Formula |
9 | Algebraic Expressions and Identities | (1) Terms (2) Factors and Coefficients (3) Monomials (4) Binomials and Polynomials (5) Like and Unlike Terms (6) Addition and Subtraction of Algebraic Expressions (7) Multiplication of Algebraic Expressions: (8) What is an Identity (9) Standard Identities (10) Applying Identities |
10 | Visualizing Solid Shapes | (1) Views of 3D-Shapes (2) Mapping Space Around Us (3) Faces (4) Edges and Vertices |
11 | Mensuration | (1) Area of Trapezium (2) Area of a General Quadrilateral, Area of a Polygon (3) Solid Shapes, Cuboid, Cube, Cylinders, Volume of Cube, Cuboid and Cylinder, Volume and Capacity |
12 | Exponents and Powers | (1) Powers with Negative Exponents (2) Laws of Exponents (3) Use of Exponents to Express Small Numbers in Standard Form |
13 | Direct and Inverse Proportions | (1) Direct Proportion (2) Inverse Proportion |
14 | Factorization | (1) What is Factorisation (2) Division of Algebraic Expressions (3) Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial) |
15 | Introduction to Graphs | (1) A Bar graph (2) A Pie graph (or a circle graph) (3) A histogram (4) A line graph (5) Linear Graphs |
16 | Playing with Numbers | (1) Numbers in General Form (2) Games with Numbers (3) Letters for Digits, Tests of Divisibility |