1. Knowing Our Numbers

• Introduction
• Comparing Numbers
  • How many numbers can you make?
  • Shifting digits
  • Introducing 10,000
  • Revisiting place value
  • Introducing 1,00,000
  • Larger numbers
  • An aid in reading and writing large numbers
• Large Numbers in Practice
  • Estimation
  • Estimating to the nearest tens by rounding off
  • Estimating to the nearest hundreds by rounding off
  • Estimating to the nearest thousands by rounding off
  • Estimating outcomes of number situations
  • To estimate sum or difference
  • To estimate products
• Using Brackets
  • Expanding brackets
• Roman Numerals

2. Whole Number

• Introduction
• Whole Numbers
• The Number Line
• Properties of Whole Numbers
• Patterns in Whole Numbers

3. Playing With Numbers

• Introduction
• Factors and Multiples
• Prime and Composite Numbers
• Tests for Divisibility of Numbers
• Common Factors and Common Multiples
• Some More Divisibility Rules
• Prime Factorisation
• Highest Common Factor
• Lowest Common Multiple
• Some Problems on HCF and LCM

4. Basic Geometrical Ideas

• Introduction
• Point
• A-Line Segment
• A-Line
• Intersecting Lines
• Parallel Lines
• Ray
• Curves
• Polygons
• Angles
• Triangles
• Quadrilaterals
• Circles

5. Understanding Elementary Shapes 

• Introduction
• Measuring Line Segments
• Angles – ‘Right’ and ‘Straight’
• Angles – ‘Acute’, ‘Obtuse’ and ‘Reflex’
• Measuring Angles
• Perpendicular Lines
• Classification of Triangles
• Quadrilaterals
• Polygons
• Three Dimensional Shapes

 6. Integers 

• Introduction
  • Tag me with a sign
• Integers
  • Representation of integers on a number line
  • Ordering of integers
• Addition of Integers
  • Addition of integers on a number line
• Subtraction of Integers with the help of a Number Line

7. Fractions 

• Introduction
• A Fraction
• Fraction on the Number Line
• Proper Fractions
• Improper and Mixed Fractions
• Equivalent Fractions
• Simplest Form of a Fraction
• Like Fractions
• Comparing Fractions
  • Comparing like fractions
  • Comparing unlike fractions
• Addition and Subtraction of Fractions
  • Adding or subtracting like fractions
  • Adding and subtracting fractions

8.  Decimals 

• Introduction
• Tenths
• Hundredths
• Comparing Decimals
• Using Decimals
  • Money
  • Length
  • Weight
• Addition of Numbers with Decimals
• Subtraction of Decimals

9.  Data Handling

• Introduction
• Recording Data
• Organization of Data
• Pictograph
• Interpretation of a Pictograph
• Drawing a Pictograph
• A Bar Graph
  • Interpretation of a bar graph
  • Drawing a bar graph

10. Mensuration

• Introduction
• Perimeter
  • Perimeter of a rectangle
  • Perimeter of regular shapes
• Area
  • Area of a rectangle
  • Area of a square

11. Algebra

• Introduction
• Matchstick Patterns
• The Idea of a Variable
• More Matchstick Patterns
• More Examples of Variables
• Use of Variables in Common Rules
• Expressions with Variables
• Using Expressions Practically
• What is an Equation?
• Solution of an Equation

12. Ratio And Proportion

• Introduction
• Ratio
• Proportion
• Unitary Method

13. Symmetry

• Introduction
• Making Symmetric Figures: Ink-blot Devils
• Figures with Two Lines of Symmetry
• Figures with Multiple (more than two) Lines of Symmetry
• Reflection and Symmetry

14. Practical Geometry

• Introduction
• The Circle
• A Line Segment
• Perpendiculars
• Perpendicular to a line through a point on it
• Perpendicular to a line through a point not on it
• The perpendicular bisector of a line segment
• Angles
• Constructing an angle of a given measure
• Constructing a copy of an angle of unknown measure
• Bisector of an angle
• Angles of special measures