Mathematics VI

Knowing Our Numbers
13 Topics
Introduction to Numbers
Ordering and Comparing Numbers
Making the Smallest and Largest Numbers and Shifting of Digits in a Number
Large Numbers and Their Expansion
Reading Large Numbers
Introducing Operations
Operations on Large Numbers
Introducing Rounding
Estimation
Estimating to the Nearest Hundreds and Thousands
Estimating the Sum, Difference and Product
Using Brackets
Roman Numerals
Whole Numbers
5 Topics
Introducing Whole Numbers, Predecessor and Successor
Operations Using Number Line
Closure, Commutative and Associative Property of Whole Numbers
Distributive and Identity Property of Whole Numbers
Patterns in Whole Numbers
Playing With Numbers
13 Topics
Introducing Factors
Introducing Multiples
Properties of Factors and Multiples
Prime and Composite Numbers
Even and Odd Numbers
Divisibility of a Number by 2,5 and 10
Divisibility of a Number by 3,6 and 9
Divisibility of a Number by 4,7,8 and 11
Properties of Divisibility
Common Factors
Common Multiples
Prime Factorisation
HCF & LCM
Basic Geometrical Ideas
 6 Topics
Introduction to Geometry
Point and Lines
Curves and Polygons
Angles and Triangles
Quadrilaterals
Circles
Understanding Elementary Shapes
 8 Topics
Measuring Line Segments
Right and Straight Angles
Acute, Obtuse and Reflex Angles
Measuring Angles
Classification of Triangles
Classification of Quadrilaterals
Polygons
3-D Solids
Integers
 3 Topics
Introduction to Integers and Ordering Integers
Addition of Integers
Subtraction of Integers
Fractions
 7 Topics
Introduction to Fractions
Fractions on a Number Line and Types of Fraction
Conversion of Mixed Fractions into Improper Fractions and Vice-Versa
Equivalent Fractions and The Simplest Form of a Fraction
Comparing Fractions
Adding and Subtracting Fractions
Adding and Subtracting Mixed Fractions
Decimals
 6 Topics
Introduction to Decimals
Hundredths and Comparing Decimals
Using Decimals in Daily Life
Like and Unlike Decimals
Addition of Decimals
Subtraction of Decimals
Data Handling
 7 Topics
Introduction to Data Handling
Organisation of Data
Interpreting Pictograph
Drawing Pictograph
Introduction to Bar Graphs
Interpreting Bar Graphs
Constructing Bar Graphs
Mensuration
 8 Topics
Introduction to Perimeter
Perimeter of a Rectangle
Perimeter of Regular Shapes
Introduction to Area
Area of a Rectangle
Area of a Square
Area of Composite Figures
Solving Problems on the Applications of Area
Algebra
 6 Topics
Introduction to Algebra
Operations on Literals and Numbers
Rules from Arithmetic
Word Problems
Introduction of Equations
Solution of an Equation
Ratio and Proportion
 6 Topics
Introduction To Ratio
Applications of Ratio
Comparison of Ratios
Equivalent Ratios
Proportion
Unitary Method
Symmetry
 9 Topics
Introduction To Symmetry
Construction of Symmetrical Figures
Alphabet Symmetry
Questions Based on Symmetry
Symmetry of Some Figures
Symmetry of Triangles
Symmetry of Quadrilaterals
Symmetry of Regular and Irregular Polygons
Rotational Symmetry
Practical Geometry
 19 Topics
Tools Used in Construction: Ruler
Tools Used in Construction: Compass
Tools Used in Construction: Divider
Tools Used in Construction: Set Squares and Protractor
Constructing Angles using Set Squares
Construction of a Circle when its Radius is known
Construction of a Line Segment of a Given Length
Construction of a Line Segment of a Given Length-II
Constructing a Copy of a Given Line Segment Using Ruler and Compasses
Constructing Perpendicular to a Line Through a Point on it-I
Constructing Perpendicular to a Line through a Point on it-II
Constructing Perpendicular to a Line Through a Point Not on it-I
Constructing Perpendicular to a Line Through a Point Not on it-II
The Perpendicular Bisector of a Line Segment
Constructing Angles Using a Protractor
Constructing a Copy of An Angle of Unknown Measure
Bisector of an Angle
Constructing Angles of And
Constructing Angles of Some Special Measures
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Playing With Numbers

Mathematics VI Playing With Numbers

In this chapter we will deal with multiples, factors, divisibility of a number, common factors, common multiples, HCF and LCM.

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