Page 10 - ICSE Math 8

Detailed Contents

S. No. Chapter Contents
1. Rational Numbers Positive and Negative Rational Numbers, Comparison of Rational Numbers, Properties of
Rational Numbers, Addition and Subtraction of Rational Numbers, Multiplication and Division
of Rational Numbers, Rational Numbers on a Number Line, Rational Numbers Between Two
Given Rational Numbers
2. Exponents and Laws of Exponents of Rational Numbers, Negative Integral Exponents
Powers
3. Squares and Square Square of a Number, Perfect Squares or Square Numbers, Prime Factorization Method,
Roots Properties and Patterns of Perfect Squares, Square Roots, Finding Square Root by Repeated
Subtraction Method, Finding Square Root by Prime Factorization Method, Finding Square
Root by Long Division Method, Square Root of a Fraction, Square Roots of Rational Numbers
in Decimal Form, Approximating the Value of Square Roots by Long Division Method
4. Cubes and Cube Cube of a Natural Number, Properties of Cubes of Natural Numbers, Cube Roots, Cube
Roots Root of a Natural Number, Finding Cube Root by Prime Factorization, Cube Root of a
Negative Perfect Cube, Cube Root of the Product of Integers, Cube Root of a Rational
Number, Patterns in Perfect Cubes
5. Playing with Numbers in Generalized Form, Reversing the Digits—2- and 3-Digit Numbers, Tests of
Numbers Divisibility, Letters for Digits, Number Puzzles and Games
6. Set Theory Set, Representation of Sets, Types of Sets, Cardinal Number of a Set, Subset of a Set,
Operations on Sets, Complement of a Set
7. Percentage Converting a Fraction or a Decimal to Percentage and Vice Versa, Expressing One Quantity
as a Percentage of the Other, Finding Percentage of a Given Quantity, Finding the Number
from a Given Percentage of the Number, Increase or Decrease in Percentage
8. Ratio and Proportion Comparison of Ratios, Dividing a Quantity in a Given Ratio, Continued Ratio, Proportion,
Direct and Inverse Proportions, Rule of Three, Proportional Parts
9. Direct and Inverse Variation, Direct Variation, Inverse Variation, Applications of Direct and Inverse Variations
Variations
10. Profit, Loss, Discount Profit and Loss, Overhead Expenses, Profit% and Loss%, Discount, Tax
and Tax
11. Simple Interest and Simple Interest, Compound Interest, Computation of Compound Interest Using Formulae,
Compound Interest Inverse Problems on Compound Interest, Appreciation, Depreciation
12. Fundamental Algebraic Expression, Polynomial in One Variable, Polynomial in Two or More Variables,
Operations Addition and Subtraction of Algebraic Expressions, Multiplication of Algebraic Expression,
on Algebraic Division of Algebraic Expression, Simplification of Algebraic Expression
Expressions
2
2
2
2
2
2
2
2
13. Algebraic Identities Standard Identities: (a + b) = a + 2ab + b ; (a – b) = a – 2ab + b ; a – b = (a – b)(a + b),
Special Products
14. Factorization Factors, Factorization by Taking Out Common Monomials and Binomials, Factorization
of Algebraic by Regrouping, Factorization of Difference of Squares, Factorization of a Perfect Square
Expressions Trinomial, Factorization of Quadratic Polynomial By Splitting the Middle Term
15. Linear Equations and Linear Equation in One Variable, Solution of Linear Equation, Solving Linear Equations
Inequations in One with Variables on One Side and Numbers on the Other Side, Solving Linear Equations with
Variable Variables on Both Sides (Transposition Method), Solving Equations Reducible to Linear
Equations (Cross-Multiplication Method), Application Linear Equations (Word Problems),
Linear Inequations, Rules for Solving Inequations, Method of Solving Inequations,
Graphical Representation of Solution
16. Understanding Polygon and its Types, Classification of Polygons, Sum of Interior and Exterior Angles of a
Quadrilaterals Polygon, Quadrilaterals, Angle Sum Property of Quadrilaterals, Types of Quadrilaterals