C. Math || Class 8 || BLE
The Class 8 Mathematics syllabus covers important topics from sets, number systems, arithmetic, algebra, geometry, mensuration, coordinates, transformation, bearing, and statistics. The syllabus is designed to develop students' mathematical understanding, logical reasoning, calculation skills, and problem-solving abilities.
The course consists of 21 chapters, starting from Set and Whole Numbers and progressing through Rational and Irrational Numbers, Ratio and Proportion, Profit and Loss, Unitary Method, Simple Interest, Area and Volume, Indices, Algebraic Expression, Algebraic Fraction, Equation and Graph, Lines and Angles, Plane Figures, Congruency and Similarity, Solid Objects, Coordinates, Tessellation, Transformation, Bearing and Scale Drawing, and Statistics.
Chapter-wise Syllabus : The major topics include disjoint and overlapping sets, subsets, binary and quinary number systems, conversion between number systems, irrational numbers, scientific notation, ratio and proportion, profit and loss, discount, direct and indirect variation, simple interest, area and volume of different plane figures, laws of indices, factorization, HCF and LCM of algebraic expressions, algebraic fractions, simultaneous equations, quadratic equations, lines and angles, properties and construction of plane figures, polygons, congruency and similarity, solid objects, coordinates, tessellation, transformation, bearing and scale drawing, and statistics.
Chapter 1 : Set
Chapter 2 : Whole Numbers
Chapter 3 : Rational and Irrational Numbers
Chapter 4 : Ratio and Proportion
Chapter 5 : Profit and Loss
Chapter 6 : Unitary Method
Chapter 7 : Simple Interest
Chapter 8 : Area and Volume
Chapter 9 : Indices
Chapter 10 : Algebraic Expression
Chapter 11 : Algebraic Fraction
Chapter 12 : Equation and Graph
Chapter 13 : Lines and Angles
Chapter 14 : Plane Figures
Chapter 15 : Congruency and Similarity
Chapter 16 : Solid Objects
Chapter 17 : Coordinates
Chapter 18 : Tessellation
Chapter 19 : Transformation
Chapter 20 : Bearing and Scale Drawing
Chapter 21 : Statistics
Syllabus in Details
1. Set :
- Disjoint and Overlapping sets
- Subset
2. Whole Numbers:
- Binary Number System - Introduction
- Binary Number System and its expansion
- Conversion from Decimal System to Binary
- Conversion from Binary to Decimal Number System
- Quinary Number System - Introduction
- Quinary Number System and its expansion
- Conversion from Decimal Number System into quinary number
- Conversion from Quinary
3. Rational and Irrational Numbers:
- Irrational Number
- Scientific Notation of Numbers
- Simplification of Numbers with Scientific Notations
4. Ratio and Proportion:
- Ratio
- Proportion
5. Profit and Loss:
- Discount Amount
- Selling Price
- Marked Price
- Percentage
- C.P.
6. Unitary Method:
- Application of Direct Variation
- Application of Indirect Variation
7. Simple Interest:
- Simple Interest - Yearly and Half Yearly
- A = P+I
- S.I. = PTR/100
8. Area and Volume:
- Area of Triangles and Quadrilaterals
- Area of Equilateral Triangle
- Area of Right-angled Triangle
- Area of Isosceles Triangle
- Area of a Parallelogram
- Area of a Rhombus
- Area of a Trapezium
- Area of Quadrilateral
- Area of Circle
9. Indices:
- Laws of Indices
10. Algebraic Expression:
- Factorization by taking common factor and grouping the terms.
- Factorization of the expression of the form (a² - b² ).
- Factorization of trinomial expression reducible to perfect square.
- Factorization of the expression of the form ax² + bx + c
- HCF of algebraic expression
- LCM of algebraic expression
11. Algebraic Fraction:
- Algebraic fraction
- Addition and subtraction of Algebraic fraction having same denominator
- Addition and subtraction of Algebraic fraction having different denominator
- Multiplication and Division of Algebraic expression
12. Equation and Graph:
- Simultaneous equations with two variables.
- Solving quadratic equations by factorization method.
13. Lines and Angles:
- Straight line and transversal
- Parallel lines and transversal
- Relation: When two parallel lines are transversed by a transversal, then the corresponding angles are equal.
14. Plane Figures:
- Identification and verification of the properties of triangle.
- The sum of three interior angles of a triangle is 180°.
- All the angles of an equilateral triangle are equal so each angle of equilateral triangle is 60°.
- The base angles of an isosceles triangle are equal.
- The base angle of right angle isosceles triangles are equal and each is 45°.
- The diagonal of rhombus bisect each other at right angle.
- The diagonals of rhombus bisect the vertical angles
- A quadrilateral having two pairs of equal adjacent sides is a kite. The longer diagonal bisects the other at right angle. The angles between the non - equal sides are equal.
- The longer diagonal of a kite bisects the shorter diagonal at right angle.
- A quadrilateral having a pair of parallel sides is called Trapezium.
- The sum of co-interior angles on each of non-parallel side is 180°.So, a pair of a opposite sides in trapezium is parallel.
- Construction of rectangle
- Construction of a square
- Construction of a Parallelogram
- Regular polygon
- Measurement of interior angles of regular polygon:::The sum of interior angles is ( n-2)180° and each angle of regular polygon is (n-2)/n * 180°
- Measurement of exterior angles of regular polygon::: The sum of exterior angles is
- What do you mean by marked price? [1] Ans. Marked price is the price written or labelled on an article before giving any discount.
- Find the marked price of the mobile. [1] Ans. Rs. 39,000
- If Binita bought the mobile at 20% discount, what is the profit or loss percentage of the shopkeeper? [2] Ans. 4%
- If marked price is represented by MP and discount by D, write the formula to find the selling price.[1]Ans. S.P. = M.P. -D
- How much discount was provided on the laptop?[1] Ans. Rs. 120,000
- If the store made a profit of Rs. 5,000, express the profit in percentage.[2] Ans. 4.35%
See Also
- BLE || O. Math Syllabus || Class 8 || New : 2083
- C. Math Syllabus || SEE || Class 10 || New : 2083
- O. Math Syllabus || SEE || Class 10 || New : 2083