# Mathematics

## Topic

1.Rational Numbers

- 1.1 Introduction
- 1.2 Properties of Rational Numbers
- 1.3 Representation of Rational Numbers on the Number Line
- 1.4 Rational Numbers between Two Rational Numbers

2. Linear Equations in One Variable

- 2.1 Introduction
- 2.2 Solving Equations which have Linear Expressions on one Side and Numbers on the other Side
- 2.3 Some Applications
- 2.4 Solving Equations having the Variable on both Sides
- 2.5 Some More Applications
- 2.6 Reducing Equations to Simpler Form
- 2.7 Equations Reducible to the Linear Form

3. Understanding Quadrilaterals

- 3.1 Introduction
- 3.2 Polygons
- 3.3 Sum of the Measures of the Exterior Angles of a Polygon
- 3.4 Kinds of Quadrilaterals
- 3.5 Some Special Parallelograms

4.Practical Geometry

- 4.1 Introduction
- 4.2 Constructing a Quadrilateral
- 4.3 Some Special Cases

5 Data Handling

- 5.1 Looking for Information
- 5.2 Organising Data
- 5.3 Grouping Data
- 5.4 Circle Graph or Pie Chart
- 5.5 Chance and Probability

6. Squares and Square Roots

- 6.1 Introduction
- 6.2 Properties of Square Numbers
- 6.3 Some More Interesting Patterns
- 6.4 Finding the Square of a Number
- 6.5 Square Roots
- 6.6 Square Roots of Decimals
- 6.7 Estimating Square Root

7. Cube and Cube Roots

- 7.1 Introduction
- 7.2 Cubes
- 7.3 Cube Roots

8. Comparing Quantities

- 8.1 Recalling Ratios and Percentages
- 8.2 Finding the Increase or Decrease Per cent
- 8.3 Finding Discounts
- 8.4 Prices Related to Buying and Selling (Profit and Loss)
- 8.5 Sales Tax/Value Added Tax/Goods and Services Tax
- 8.6 Compound Interest
- 8.7 Deducing a Formula for Compound Interest
- 8.8 Rate Compounded Annually or Half Yearly (Semi Annually
- 8.9 Applications of Compound Interest Formula

9. Algebraic Expressions and Identities

- 9.1 What are Expressions?
- 9.2 Terms, Factors and Coefficients
- 9.3 Monomials, Binomials and Polynomials
- 9.4 Like and Unlike Terms
- 9.5 Addition and Subtraction of Algebraic Expressions
- 9.6 Multiplication of Algebraic Expressions: Introduction
- 9.7 Multiplying a Monomial by a Monomial
- 9.8 Multiplying a Monomial by a Polynomial
- 9.9 Multiplying a Polynomial by a Polynomial
- 9.10 What is an Identity?
- 9.11 Standard Identities
- 9.12 Applying Identities

10. Visualising Solid Shapes

- 10.1 Introduction
- 10.2 Views of 3D-Shapes
- 10.3 Mapping Space Around Us
- 10.4 Faces, Edges and Vertices

11. Mensuration

- 11.1 Introduction
- 11.2 Let us Recall
- 11.2 Let us Recall
- 11.4 Area of a General Quadrilateral
- 11.5Area of a Polygon
- 11.6 Solid Shapes
- 11.7 Surface Area of Cube, Cuboid and Cylinder
- 11.8 Volume of Cube, Cuboid and Cylinder
- 11.9 Volume and Capacity

12. Exponents and Powers

- 12.1 Introduction
- 12.2 Powers with Negative Exponents
- 12.3 Laws of Exponents
- 12.4 Use of Exponents to Express Small Numbers in Standard Form

13. Direct and Inverse Proportions

- 13.1 Introduction
- 13.2 Direct Proportion
- 13.3 Inverse Proportio

14. Factorisation

- 6.1 The Moon
- 6.2 Stars and constellations
- 6.3 Planets and the solar system
- 6.4 More about the solar system

15. Introduction to Graphs

- 6.1 The Moon
- 6.2 Stars and constellations
- 6.3 Planets and the solar system
- 6.4 More about the solar system

16. Playing with Numbers

- 6.1 The Moon
- 6.2 Stars and constellations
- 6.3 Planets and the solar system
- 6.4 More about the solar system