**Description:**

*ICSE Mathematics*, a carefully planned
series for Classes 6 to 8, conforms to the latest curriculum of the Council for
the Indian School Certificate Examinations (CISCE).The series aims at creating
an environment where students see mathematics as something to talk about, to
communicate, to discuss among them and to use it in daily life.

**Features of the series:**

- In-text
Exercises given after every section of a chapter to reinforce the concepts
learnt
*Maths
Info *for
additional information and *Try These* for hands-on practice are given
throughout the chapters- At
*A
Glance *at the end of each chapter to summarize the concepts learnt *Mental
Maths, Practice Time *and *Think Smart* to consolidate the
concepts learnt in each chapter- Unit-wise
*Self-Testing Exercises *and *Question Bank* compiled at the end of
the book *Concepts’
Glimpse *and *Formula* *Sheet* provided at the end of
the book for a quick recall- Life
skills-based questions given either throughout the chapter or at the end of
Practice Time
*Subject
Integration *introduced to help students understand the
application of mathematics in other subjects and various fields*Activities
*integrated
throughout the book to strengthen the concepts learnt

**Additional Teacher’s Support **

**Teacher’s Manual** • Lesson plan • Solutions
of selected questions • Worksheets with answers

**Digital Support (www.vivadigital.in)** •
Flip book Test generator • Solutions of selected questions • Worksheets with
answers • Test generator • Lesson plan

**Download Teacher’s Support material on www.vivadigital.in**

**Contents:**

__Unit 1: Number System__

**Chapter 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

**Chapter 2. Exponents and Powers** •
Laws of Exponents of Rational Numbers, Negative Integral Exponents

**Chapter 3. Squares and Square Roots** •
Square of a Number, Perfect Squares or Square Numbers, Prime Factorization
Method, 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

**Chapter 4. Cubes and Cube Roots** •
Cube of a Natural Number, Properties of Cubes of Natural Numbers, Cube Roots,
Cube 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

**Chapter 5. Playing with Numbers** •
Numbers in Generalized Form, Reversing the Digits—2- and 3-Digit Numbers, Tests
of Divisibility, Letters for Digits, Number Puzzles and Games

**Chapter 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

__Unit 2: Ratio, Proportion
and Arithmetical Problems__

**Chapter 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

**Chapter 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

**Chapter 9. Direct and Inverse Variations **•
Variation, Direct Variation, Inverse Variation, Applications of Direct and
Inverse Variations

**Chapter 10. Profit, Loss, Discount and Tax **•
Profit and Loss, Overhead Expenses, Profit% and Loss%, Discount, Tax

**Chapter 11. Simple Interest and Compound Interest** •
Simple Interest, Compound Interest, Computation of Compound Interest Using
Formulae, Inverse Problems on Compound Interest, Appreciation, Depreciation

__Unit 3: Algebra__

**Chapter 12. Fundamental Operations on Algebraic
Expressions** • Algebraic Expression, Polynomial in One Variable,
Polynomial in Two or More Variables, Addition and Subtraction of Algebraic
Expressions, Multiplication of Algebraic Expression, Division of Algebraic
Expression, Simplification of Algebraic Expression

**Chapter 13. Algebraic Identities** •
Standard Identities: (a + b)^{2} = a^{2} + 2ab + b^{2};
(a – b)^{2} = a^{2} – 2ab + b^{2}; a^{2} – b^{2}
= (a – b)(a + b), Special Products

**Chapter 14. Factorization of Algebraic Expressions** •
Factors, Factorization by Taking Out Common Monomials and Binomials,
Factorization by Regrouping, Factorization of Difference of Squares,
Factorization of a Perfect Square Trinomial, Factorization of Quadratic
Polynomial By Splitting the Middle Term

**Chapter 15. Linear Equations and Inequations in One
Variable** • Linear Equation in One Variable, Solution of Linear
Equation, Solving Linear Equations with Variables on One Side and Numbers on
the Other Side, Solving Linear Equations with 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

__Unit 4: Geometry__

**Chapter 16. Understanding Quadrilaterals** •
Polygon and its Types, Classification of Polygons, Sum of Interior and Exterior
Angles of a Polygon, Quadrilaterals, Angle Sum Property of Quadrilaterals,
Types of Quadrilaterals

**Chapter 17. Construction of Quadrilaterals** •
Construction of Quadrilaterals: Required Conditions, Construction of a
Quadrilateral Given 4 Sides and a Diagonal, Construction of a Quadrilateral
Given 3 Sides and 2 Diagonals, Construction of a Quadrilateral Given 4 Sides
and an Angle, Construction of a Quadrilateral Given 3 Sides and 2 Included
Angles, Construction of a Quadrilateral Given 3 angles and 2 Sides,
Construction of Some Special Quadrilaterals

**Chapter 18. Three-dimensional Figures** •
Polyhedron, Prism and Pyramid, Visualization of 3D shapes Through Nets, Nested
or Combined Solids, Views of 3D Shapes

**Chapter 19. Symmetry, Reflection and Rotation** •
Symmetry, Reflection, Rotation, Rotational Symmetry

**Chapter 20. Circles** • Circle, Angle
Subtended by an Arc, Angles in a Semicircle

__Unit 5: Mensuration__

**Chapter 21. Perimeter and Area of Plane Figures **•
Area and Perimeter of a Rectangle, Area and Perimeter of a Square, Area of a
Triangle, Area of a Parallelogram, Area of a Trapezium, Area of a Polygon, Area
of a Circle

**Chapter 22. Volume and Surface Area of Solids** •
Volume of Solids, Surface Area of Solids, Cylinder, Volume of a Cylinder

__Unit 6: Data Handling__

**Chapter 23. Graphical Representation of Data** • Presentation
of Data, Frequency Distribution, Construction of a Grouped Frequency
Distribution, Bar Graph (or Column Graph), Pie Chart

**Chapter 24. Probability** • Theoretical
Approach to Probability, Tossing One, Two or Three Coins, Throwing a Die Twice,
Deck of Playing cards, Theoretical Probability

* *

*Self-Testing Exercises *

*Concepts’ Glimpse *

*Formula Sheet *

*Question Bank *

*Subject Integration *

*Answers *

**About the Authors:**

**Monicaa Abhijit**, with teaching experience
of over 25 years, is currently teaching in St. Thomas School, New Delhi.

**Ajay Kumar**, with teaching experience
of over 15 years, is currently heading the Mathematics Department in St. Mary’s
School, New Delhi.

**Target Audience:**

Students
of ICSE Class 8.