- Understanding the concept of numbers, place value, and face value.
- Comparing and ordering numbers.
- Estimating and rounding off numbers.
- Addition, subtraction, multiplication, and division of whole numbers.


- Understanding the concept of zero and its operations.
- Properties of addition and multiplication.
- Word problems involving whole numbers.
- Factors and multiples.


- Factors and multiples.
- Prime and composite numbers.
- Tests of divisibility.
- Finding common factors and multiples.
- Prime factorization.


- Understanding basic geometrical terms like point, line, line segment, ray, etc.
- Introduction to angles, types of angles, and their measurement.
- Properties of different types of quadrilaterals and polygons.
- Understanding the concept of symmetry.


- Identification and properties of different 2-D and 3-D shapes.
- Identification of faces, edges, and vertices of 3-D shapes.
- Comparing and sorting shapes based on their properties.
- Construction of simple 2-D shapes.


- Understanding the concept of positive and negative numbers.
- Addition, subtraction, multiplication, and division of integers.
- Representation of integers on a number line.
- Word problems involving integers.


- Understanding the concept of fractions and their representation.
- Equivalent fractions and simplification of fractions.
- Addition and subtraction of fractions.
- Word problems involving fractions.


- Understanding the concept of decimals and their representation.
- Conversion between fractions and decimals.
- Addition, subtraction, multiplication, and division of decimals.
- Word problems involving decimals.


- Collection and organization of data.
- Representation of data using pictographs, bar graphs, and pie charts.
- Interpretation of data and drawing conclusions.
- Probability and its basic understanding.


- Understanding the concept of perimeter and area of various shapes.
- Measurement of length, mass, and capacity.
- Conversion between different units of measurement.
- Word problems involving measurement.


- Introduction to algebraic expressions.
- Evaluating expressions and simplification.
- Addition and subtraction of algebraic expressions.
- Word problems involving algebraic expressions.

These are some of the important topics covered in the Mathematics NCERT textbook for Class 6. The textbook aims to provide a strong foundation in mathematics, covering essential concepts and skills required for higher classes.