NCERT - CBSE Topic list - Navima

# NCERT – CBSE Topic list

### Numbers

• Numbers up to 10
• Numbers from 11 to 20
• Numbers from 20 to 100
• Ordinal numbers

• Length

### Number operations

• Subtraction of single-digit numbers

### Data Analysis

• Organizing the data: Concept of
counting shapes

• Shapes

### Numbers

• Numbers up to 999
• Place value – 2 digit number
• Numbers in order and pattern
• Number line

• Length
• Volume

### Number operations

• Addition and subtraction of 1 and 2 digit numbers
• Addition and subtraction of numbers 2- digit numbers
• Word problem Addition and subtraction

### Data Analysis

• Organizing data (Concept of gathering
data )

• Shapes

### Numbers

• Numbers up to 1000
• Place value – 3 digit number
• Ordering of numbers
• Greatest and smallest number

### Measurement

• Length
• Volume
• Weight
• Time
• Conversion of measurement units
• Word problems

### Number operations

• Addition and subtraction of numbers up to 3 – digit numbers with
and without carryover
• Multiplication tables
• Multiplication – 1 – digit and 2 – digit, word problems
• Division – 1 digit by 1 digit, 2-digit by 1-digit, word problems
• Mental arithmetic

• Shapes

### Numbers

• Numbers up to 6-digit
• Place value 4 – digit number
• Forming 4 – digit number
• Fraction – Types, comparing fractions

### Measurement

• Length
• Volume
• Time
• Weight
• Conversion of units
• Perimeter

### Number operations

• Addition and subtraction of numbers up to 4- digit numbers
with and without carryover
• Multiplication: 2 – digit and 3 – digit, Word problem
• Division: 2 by 1 digit, word problem

### Data Analysis

• Bar graphs: Observing and interpreting

• Factors
• Multiples

• Shapes
• Symmetry
• Circle
• Patterns

### Numbers

• Read and write numbers beyond 1000
• Comparing numbers and representing on the number line
• Arithmetic operations
• Rounding off and approximation of numbers
• Introduction to negative numbers

### Measurement

• Length and weight
• Time and volume
• Area and perimeter of simple shapes

### Number operations

• Addition and subtraction of numbers up to 4- digit numbers with and without carryover
• Arithmetic operations on large numbers
• Word problem arithmetic operations
• Framing and solving problems from real life contexts involving number operations
• Averages

### Data Analysis

• Bar graph & line graph: Collection and
interpretation of data

### Fractions and decimals

• Basics of fractions and decimals and representing on the number line
• Comparing and conversion of fractions and decimals
• Addition and subtraction of fractions and decimals
• Multiplication and division of fractions and decimals
• Word problems

### Geometry

• Shapes
• Angles and triangles
• Circles
• Nets of basic 3D shapes
• Symmetry

• Factors
• Multiples

### Numbers

• International number system and representing on the number line
• Introducing 6, 7, and 8 – Digit numbers
• Use of estimation and estimation and approximation of numbers
• Comparing and forming numbers

### Mensuration

• Area and perimeter
• Word problems

### Fractions and decimals

• Types of fractions
• Comparing and conversion of fractions and decimals
• Addition and subtraction of fractions and decimals
• Multiplication and division of fractions and decimals
• Word problems

### Data Handling

• Organisation of data
• Pictograph
• Bar graph

### Ratio and proportion

• Introduction to ratio
• Proportion
• Unitary method

### Geometry

• Basic geometrical ideas
• Understanding elementary shapes
• Three – Dimensional shapes
• Symmetry

### Algebra

• Introduction to variable
• Generating algebraic equation
• Operations involving variables
• Evaluation of algebraic expressions

### Numbers

• Integers
• Addition and subtraction of integers
• Multiplication and division of integers
• Rational numbers and representing on the number line
• Comparison of rational numbers
• Addition and subtraction of rational numbers
• Multiplication and division of rational numbers

### Algebra

• Algebraic expressions and simplification
• Using algebraic expressions and operations on algebraic operations
• Simple linear equation

### Fraction and Decimal

• Multiplication and division of fractions and decimals
• Mixed operations and word problems

### Mensuration

• Perimeter and area
• Circle – Circumference and area

### Ratio and proportion

• Ratio
• Applications of ratio in word problems
• Proportion
• Unitary method and comparing quantities

### Data Handling

• Collecting and handling data
• Mean, median, mode, and range of the data
• Bar graphs
• Probability of using the data

### Geometry

• Lines and angles
• Properties and congruence of triangles
• Symmetry
• Visualising solid shapes and construction

### Number System

• Rational numbers
• Exponents
• Square and square roots

### Mensuration

• Area of trapezium and polygon
• Surface area
• Volume of cubes and cuboids
• Surface area and volume of cylinders

### Direct and Inverse variation

• Direct and inverse proportion
• Graphs of Direct and Inverse proportion
• Word problems

### Data Handling

• Histogram, Pie chart, and Line graph
• Probability

### Algebra

• Algebraic expressions
• Addition and subtraction of polynomials
• Multiplication and division of polynomials
• Factorization

### Geometry

• Practical geometry
• Visualising shapes

### Number System

• Irrational numbers
• Representing real number on the number line

### Mensuration

• Area of parallelograms and triangles
• Surface area: Cuboid, Cube, Cylinder, Cone
• Volume of cuboid and cylinder

### Data handling

• Probability
• Word problems

### Statistics

• Introduction
• Graphical representation of data
• Cumulative and relative frequency
• Frequency curve
• Sampling survey

### Algebra

• Polynomials
• Linear equations in two variables

### Geometry

• Coordinate geometry
• Lines and angles
• Triangles
• Pythagoras Theorem
• Circle