#### Topics

##### Number System

##### Sets

##### Number System(Consolidating the Sense of Numberness)

##### Estimation

##### Numbers in India and International System (With Comparison)

##### Place Value

##### Natural Numbers and Whole Numbers (Including Patterns)

##### Negative Numbers and Integers

- Negative and Positive Numbers
- Need for Negative Numbers
- Connection of Negative Numbers in Daily Life
- Representation of Negative Numbers on Number Line
- Ordering of Negative Numbers, Integers.
- Representation of Integers on the Number Line
- Operation of Addition and Subtraction of Integers
- Addition of Integers
- Comparison of Integers
- Concept for Ordering of Integers

##### Number Line

##### HCF and LCM

##### Playing with Numbers

##### Ratio and Proportion

##### Ratio

##### Proportion (Including Word Problems)

##### Unitary Method

##### Fractions

- Concept of Fractions
- Concept of Fraction as a Part of Whole
- Representation of Fractions (Pictorially and on Number Line).
- Concept for Fraction as a Division.
- Concept of Proper Fractions
- Concept for Equivalent Fractions
- Concept of Fractions
- Operations on Fractions (Avoid Large and Complicated Unnecessary Tasks). (Moving Towards Abstraction in Fractions).

##### Decimal Fractions

##### Percent (Percentage)

##### Idea of Speed, Distance and Time

##### Algebra

##### Fundamental Concepts

##### Fundamental Operations (Related to Algebraic Expressions)

##### Substitution (Including Use of Brackets as Grouping Symbols)

##### Framing Algebraic Expressions (Including Evaluation)

##### Simple (Linear) Equations (Including Word Problems)

##### Geometry

##### Fundamental Concepts

- Concepts of Fundamental (Geometry)
- Concept for Basic Geometrical Ideas (2 -d)
- Concept for Linkage with and Reflection in Everyday Experiences.
- Concept of Line
- Concept for Open and Closed Figures.
- Concept for Interior and Exterior of Closed Figures.
- Curvilinear and Linear Boundaries
- Concept of Angle - Arms, Vertex, Interior and Exterior Region

##### Angles (With Their Types)

##### Properties of Angles and Lines (Including Parallel Lines)

##### Triangles (Including Types, Properties and Constructions)

##### Quadrilateral

##### Polygons

##### The Circle

##### Revision Exercise Symmetry (Including Constructions on Symmetry)

- Concept of Revision Exercise Symmetry (Including Constructions on Symmetry)
- Concept of Reflection Symmetry
- Concept of Observation and Identification of 2-d Symmetrical Objects for Reflection Symmetry.
- Operation of Reflection (Taking Mirror Images) of Simple 2-d Objects
- Recognising Reflection Symmetry (Identifying Axes).

##### Recognition of Solids

- Concept of Recognition of Solids
- Identification of 3-d Shapes: Cubes, Cuboids, Cylinder, Sphere, Cone, Prism (Triangular and Square), Pyramid (Triangular and Square)
- Identification and Locating in the Surroundings.
- Faces, Edges and Vertices
- Nets for Building 3-d Shapes - Cube, Cuboids, Cylinders, Cones, Pyramid, and Prism
- Faces, Edges and Vertices

##### Mensuration

##### Perimeter and Area of Plane Figures

- Concept of Perimeter
- Concept of Perimeter
- Shapes of Different Kinds with the Same Perimeter.
- Concept of Area
- Conversion of Units (Mass, Time, Money, and Capacity) from to Smaller to Larger and Vice-versa
- Counter Examples to Different Misconcepts Related to Perimeter and Area.
- Perimeter of a Rectangle
- Deducing the Formula of the Perimeter for a Rectangle and Then a Square Through Pattern and Generalisation.

##### Data Handling

##### Data Handling (Including Pictograph and Bar Graph)

##### Mean and Median

## Definition

**Even Number: **A number with 0, 2, 4, 6, 8 at the one's place is an even number.

**Odd Number:** A number with 1, 3, 5, 7, 9 at the one's place is an odd number.

## Notes

**Even and Odd number:**

**1. Even Numbers:**

- A number with 0, 2, 4, 6, 8 at the one's place is an even number.
- So, 350, 4862, 59246 are even numbers.

**2. Odd Numbers:**

- A number with 1, 3, 5, 7, 9 at the one's place is an odd number.
- The numbers 457, 2359, 8231 are all odd.

**3. Facts about odd and even numbers:**

- The sum of three odd numbers is an odd number. Example, 3 + 5 + 7 = 15, i.e., odd.
- The sum of two odd numbers and one even number is even. Example, 3 + 5 + 6 = 14, i.e., even.
- The product of three odd numbers is odd. Example, 3 × 5 × 7 = 105, i.e., odd.
- If an even number is divided by 2, the quotient is always even. Example, 4 ÷ 2 = 2, i.e., even.
- Prime numbers are both even and odd. 2 is the smallest prime number which is even. Every prime number except 2 is odd.
- The sum of the two prime numbers is both even and odd. Example, 2 + 3 = 5, i.e., odd.
- 2 is the only even prime number.
- All even numbers are composite numbers except 2 is a prime number.
- The product of two even numbers is always even. Example, 2 × 4 = 8, i.e., even.

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