ICSE Class 8 Maths Syllabus
The ICSE (Indian Certificate of Secondary Education) Class 8 Mathematics syllabus provides a comprehensive foundation in key mathematical concepts, preparing students for higher classes. The syllabus is generally structured to cover various branches of mathematics, including arithmetic, algebra, geometry, and statistics. Below is a detailed overview of the ICSE Class 8 Maths syllabus:
1. Number System
- Natural Numbers: Properties of natural numbers, operations on natural numbers, LCM and HCF.
- Integers: Operations on integers, properties, and applications.
- Rational Numbers: Properties of rational numbers, comparison, and operations.
- Irrational Numbers: Introduction to irrational numbers, representation on the number line.
- Real Numbers: Understanding real numbers, operations, and properties.
2. Algebra
- Algebraic Expressions: Addition, subtraction, multiplication, and division of algebraic expressions.
- Factorization: Methods of factorization including grouping, identities, and common factors.
- Linear Equations: Solving linear equations in one variable, applications, and word problems.
- Exponents and Powers: Laws of exponents, application in scientific notation.
3. Commercial Mathematics
- Profit and Loss: Calculating profit, loss, and percentage gain/loss.
- Discount: Understanding discount and calculating discount percentage.
- Simple and Compound Interest: Formulas for simple and compound interest, applications.
4. Mensuration
- Perimeter and Area: Calculation of perimeter and area of plane figures like triangles, rectangles, squares, parallelograms, and circles.
- Volume and Surface Area: Calculation of the volume and surface area of solids like cubes, cuboids, and cylinders.
5. Geometry
- Basic Geometrical Concepts: Points, lines, line segments, rays, and planes.
- Angles: Types of angles, angle relationships, and properties.
- Triangles: Types of triangles, properties, congruence, and construction.
- Quadrilaterals: Types of quadrilaterals, properties, and constructions.
- Circles: Concepts of radius, diameter, chord, and construction of circles.
6. Data Handling
- Statistics: Collection, representation, and interpretation of data using bar graphs, histograms, pie charts, etc.
- Probability: Basic concept of probability, simple events, and their applications.
7. Sets
- Introduction to Sets: Understanding sets, subsets, universal set, Venn diagrams, and set operations like union, intersection, and complement.
8. Ratio and Proportion
- Ratio: Concept of ratio, simplification, and comparison.
- Proportion: Direct and inverse proportion, applications in real-life problems.
9. Co-ordinate Geometry
- Cartesian System: Plotting points on a Cartesian plane, understanding coordinates, and simple applications.
10. Polynomials
- Introduction to Polynomials: Degree of a polynomial, addition, subtraction, multiplication, and division of polynomials.
11. Symmetry
- Line Symmetry: Understanding symmetry, lines of symmetry in different geometrical shapes.
- Rotational Symmetry: Understanding rotational symmetry and its applications.
12. Graphs
- Linear Graphs: Plotting and interpreting linear graphs, understanding slope, and intercept.