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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