Page 14 - ICSE Math 6

Detailed Contents

S. No. Chapter Contents
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)
2. Natural Numbers and Natural Numbers and Whole Numbers, Addition, Subtraction and Multiplication
Whole Numbers of Whole Numbers on a Number Line, Properties of Whole Numbers, Division
Algorithm
3. Negative Numbers and Need for Negative Numbers, Connection of Negative Numbers in Daily Life,
Integers Integers and their Representation on a Number Line, Ordering of Integers,
Absolute Value of an Integer, Addition and Subtraction of integers
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
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
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
7. Set Theory Idea of Sets, Representation of Sets, Types of Sets: Finite, Infinite and Empty,
Cardinality of a Set
8. Ratio, Proportion and Ratio, Difference between Fraction and Ratio, Simplification of Ratio, Dividing
Unitary Method a Quantity in a Given Ratio, Comparison of Ratios, Proportion, Unitary Method
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
10. Speed, Distance and Speed, Units of Speed, Conversion of Units of Speed
Time
11. Fundamental Concepts Constants and Variables, Matchstick Patterns, Use of Variables, Terms
of Algebra (Constant, Like, Unlike), Coefficient, Algebraic Expressions, Monomials,
Binomial and Trinomial, Polynomial
12. Operations on Addition, Subtraction and Multiplication of Algebraic Expressions, Use
Algebraic Expressions of Brackets as Grouping Symbols, Evaluation of Algebraic Expressions by
Substituting a Value for the Variable
13. Linear Equations in To Write a Given Statement in Algebraic Form, To Write a Statement for a
One Variable given Algebraic Form, Transposition of Terms of an Equation, Solution of an
Equation, Solving Linear Equations in One Variable, Word Problems
14. Fundamental Concepts Introduction to Geometry, Point, Line, Line Segment, Ray, Plane and Space,
of Geometry 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