**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. Numbers** • Numeral, Numeration and
Hindu-Arabic System of Numeration, Face Value and Place Value, Indian and
International Place Value Charts, Expanded Form of a Number, Comparison and
Formation of Numbers, Operations on Large Numbers, Estimation (in Sum,
Difference, Product and Quotient)

**Chapter 2. Natural Numbers and Whole Numbers **•
Natural Numbers and Whole Numbers, Addition, Subtraction and Multiplication of
Whole Numbers on a Number Line, Properties of Whole Numbers, Division Algorithm

**Chapter 3. Negative Numbers and Integers **•
Need for Negative Numbers, Connection of Negative Numbers in Daily Life,
Integers and their Representation on a Number Line, Ordering of Integers,
Absolute Value of an Integer, Addition and Subtraction of integers

**Chapter 4. Playing with Numbers **•
Simplification of Brackets, Factors and Multiples, Types of Numbers (Even, Odd,
Prime, Composite), Sieve of Eratosthenes, Divisibility Tests of 2, 3, 4, 5, 6,
8, 9, 10 and 11, Common Factors and Common Multiples, Co-prime Numbers, Prime
Factorization, Highest Common Factor (HCF), Lowest Common Multiple (LCM),
Relation between HCF and LCM of Two Numbers

**Chapter 5. Fractions** • Fraction as
Division, Types of Fractions (Proper, Improper, Mixed and Equivalent), Like and
Unlike Fractions, Simplest Form of Fractions, Conversion of Fractions (Mixed to
Improper and vice versa, Unlike to Like), Fractions on the Number Line,
Comparison of Fractions, Operations on Fractions and Word Problems

**Chapter 6. Decimals** • Decimals, Decimal
Fractions, Decimal Notation, Like and Unlike Decimals, Equivalent Decimals,
Decimals on Number Line, Comparison of Decimals, Conversion of Fractions into
Decimals, Conversion of Decimals into Fractions, Operations on Decimals and
Word Problems

**Chapter 7. Set Theory **• Idea of Sets,
Representation of Sets, Types of Sets: Finite, Infinite and Empty, Cardinality
of a Set

__Unit 2: Ratio, Proportion
and Arithmetical Problems__** **

**Chapter 8. Ratio, Proportion and Unitary Method **•
Ratio, Difference between Fraction and Ratio, Simplification of Ratio, Dividing
a Quantity in a Given Ratio, Comparison of Ratios, Proportion, Unitary Method

**Chapter 9. Percentage** • Percentage,
Expressing One Quantity as a Percentage of the Other, Finding Percentage of a
given Quantity, Finding the Number from its Given Percentage, Applications of
Percentage

**Chapter 10. Speed, Distance and Time** •
Speed, Units of Speed, Conversion of Units of Speed

__Unit 3: Algebra__** **

**Chapter 11. Fundamental Concepts of Algebra **•
Constants and Variables, Matchstick Patterns, Use of Variables, Terms
(Constant, Like, Unlike), Coefficient, Algebraic Expressions, Monomials,
Binomial and Trinomial, Polynomial

**Chapter 12. Operations on Algebraic Expressions** •
Addition, Subtraction and Multiplication of Algebraic Expressions, Use of
Brackets as Grouping Symbols, Evaluation of Algebraic Expressions by
Substituting a Value for the Variable

**Chapter 13. Linear Equations in One Variable** • To
Write a Given Statement in Algebraic Form, To Write a Statement for a given
Algebraic Form, Transposition of Terms of an Equation, Solution of an Equation,
Solving Linear Equations in One Variable, Word Problems

__Unit 4: Geometry__** **

**Chapter 14. Fundamental Concepts of Geometry **•
Introduction to Geometry, Point, Line, Line Segment, Ray, Plane and Space,
Parallel, Intersecting and Perpendicular Lines, Perpendicular Bisector, Open
and Closed Figures, Interior, Exterior and Boundary of Closed Figures,
Curvilinear and Linear Boundaries, Collinear and Non-collinear Points,
Concurrent and Non-concurrent Lines

**Chapter 15. Angles **• Angle–Vertex, Arm,
Naming, Interior and Exterior, Magnitude, Types of Angles, Special Angles,
Special Pairs of Angles, Measurement of a Line Segment, Measurement of an
Angle, Construction of an Angle using Protractor

**Chapter 16. Constructions** •
Construction of Line Segments, Construction of Perpendicular Bisectors of Line
Segments, Construction of Bisectors of Angles, Construction of Angles (60°,
120°, 90°, 30°, 45°, 135°), Construction of Angle Equal to a Given Angle,
Construction of Perpendicular to a Line

**Chapter 17. Triangles and Quadrilaterals** •
Polygon and Types of Polygon, Triangle—Sides, Vertices, Interior and Exterior,
Angles, Median and Altitude of a Triangle, Classification of Triangles,
Quadrilateral—Sides, Vertices, Angles, Adjacent and Opposite Sides, Adjacent
and Opposite Angles, Diagonal, Interior and Exterior, Types of Quadrilaterals

**Chapter 18. Circles** • Circle—Centre,
Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference,
Interior and Exterior, Construction of Circles

**Chapter 19. Three-dimensional Shapes** •
Classification of Objects: 1D, 2D and 3D, Elements of a 3D Shape - Faces, Edges
and Vertices, 3D Shapes: Cube, Cuboid, Cylinder, Cone, Sphere, Prism, Pyramid,
Nets of 3D Shapes, Visualizing Solid Objects

**Chapter 20. Symmetry** • Symmetry and line
of Symmetry, Reflection and Symmetry, To Construct a Point Symmetric to a Given
Point with Respect to a Line, To Construct a Line with Respect to which Two
Given Points are Symmetric

** **

__Unit 5: Mensuration__** **

**Chapter 21. Perimeter and Area **•
Concept of Perimeter, Perimeter of a Rectangle, Square and Triangle, Different
Shapes with the Same Perimeter, Area of a Square and a Rectangle (Using a
Squared Paper), Conversion of Units

** **

__Unit 6: Data Handling__** **

**Chapter 22. Data Handling **•
Data: Collection and Organization, Interpreting and Constructing Pictographs,
Interpreting and Constructing Bar Graphs, Measures of Central Tendencies: Mean
and Median

* *

*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 6.