Topics
Number System
Number System(Consolidating the Sense of Numberness)
Number System (Including Estimation and Approximation)
Theme 1 : Numbers
Estimation
Numbers in Indian and International Systems (With Comparison)
Theme 2 : Ratio, Proportion and Arithmetic Problems
Ratio and Proportion
Numbers in India and International System (With Comparison)
Theme 3 : Algebra
Natural Numbers and Whole Numbers (Including Number Line and Patterns)
Algebra
Negative Numbers and Integers
Place Value
Theme 4 : Geometry
Geometry
Theme 5 : Mensuration
Mensuration
Natural Numbers and Whole Numbers (Including Patterns)
Sets
Data Handling
Negative Numbers and Integers
Theme 6 : Statistics
Fractions
Number Line
Decimal Fractions
Playing with Numbers (Including H.C.F. and L.C.M.)
HCF and LCM
Ratio and Proportion (Including Unitary Method)
Playing with Numbers
- Simplification of Brackets
- Finding Factors Using Rectangular Arrangements and Division
- Factors and Common Factors
- Multiples and Common Multiples
- Concept of Even and Odd Number
- Tests for Divisibility of Numbers
- Divisibility by 2
- Divisibility by 4
- Divisibility by 8
- Divisibility by 3
- Divisibility by 6
- Divisibility by 9
- Divisibility by 5
- Divisibility by 11
Percent (Percentage)
Sets
Idea of Speed, Distance and Time
Ratio
Proportion (Including Word Problems)
Fundamental Concepts (With operations on Algebraic Expressions)
Framing Algebraic Expressions (Including Substitution and Linear Equations)
Unitary Method
Fundamental Concepts (Including Angles and their Properties)
Fractions
- Concept of Fraction
- Types of Fractions
- Concept of Proper and Improper Fractions
- Concept of Mixed Fractions
- Like and Unlike Fraction
- Concept of Equivalent Fractions
- Conversion between Improper and Mixed fraction
- Conversion between Unlike and Like Fractions
- Simplest Form of a Fractions
- Comparing Fractions
- Addition of Fraction
- Subtraction of Fraction
- Multiplication of Fraction
- Division of Fractions
- Using Operator 'Of' with Multiplication and Division
- BODMAS Rule
- Problems Based on Fraction
Triangles (Including Types and Properties of Triangles)
Decimal Fractions
Percent (Percentage)
Quadrilaterals
Circles
Idea of Speed, Distance and Time
Constructions
Symmetry
Fundamental Concepts
Fundamental Operations (Related to Algebraic Expressions)
Recognition of Solids
Substitution (Including Use of Brackets as Grouping Symbols)
Framing Algebraic Expressions (Including Evaluation)
Perimeter and Area of Plane Figures
Simple (Linear) Equations (Including Word Problems)
Data Handling (Including Mean and Median)
Fundamental Concepts
Angles (With Their Types)
Properties of Angles and Lines (Including Parallel Lines)
Triangles (Including Types, Properties and Constructions)
Quadrilateral
Polygons
The Circle
Symmetry (Including Constructions on Symmetry)
Recognition of Solids
Perimeter and Area of Plane Figures
Data Handling (Including Pictograph and Bar Graph)
Mean and Median
Estimated time: 16 minutes
- Introduction
- Dimensions of Shapes
- The Three Main Views
- Common 3D Shapes
- Key Points Summary
CISCE: Class 6
Introduction
Geometry is the study of shapes, sizes, and space. Everything we see and interact with, from the lines on a road to the room we are sitting in, can be described using dimensions.
Understanding dimensions (1D, 2D, and 3D) is the foundation of geometry and helps us describe the physical world accurately, which is essential for architects, engineers, and designers.
CISCE: Class 6
Dimensions of Shapes
| Dimension Type | What It Represents | Examples | Number of Dimensions |
|---|---|---|---|
| 1D (One-Dimensional) | Length only | A straight line drawn on paper | 1 |
| 2D (Two-Dimensional) | Length + Breadth | A rectangle, circle, or square on paper | 2 |
| 3D (Three-Dimensional) | Length + Breadth + Height | A cube, ball, or cylinder in real space | 3 |
CISCE: Class 6
The Three Main Views
| View | What You See | Example with a Box |
|---|---|---|
| Top View |  |
You see a rectangle (length × breadth) |
| Front View |  |
You see a rectangle (length × height) |
| Side View |  |
You see a rectangle (breadth × height) |
CISCE: Class 6
Common 3D Shapes
| Shape | Example | Description |
|---|---|---|
|
Cube |
Dice, Ice cube | All edges are equal. |
|
Cuboid |
Book, Box | Opposite faces are equal rectangles. |
|
Cylinder |
Tin can, Pipe | Has two circular faces and one curved surface. |
|
Sphere |
Ball, Globe | Perfectly round; every point is at the same distance from the centre. |
|
Cone |
Ice-cream cone, Party hat | Has a circular base and one curved surface meeting at a point (apex). |
|
Prism |
Tent, Toblerone bar | Has two identical polygonal faces joined by rectangles. |
|
Pyramid |
Egyptian pyramid, Roofs | Has one polygonal base and triangular faces meeting at a vertex. |
CISCE: Class 6
Key Points Summary
-
3D shapes have three dimensions: length, breadth, and height
-
Every 3D shape has faces (flat surfaces), edges (lines), and vertices (corners)
-
The same object looks different from different angles (top, front, side views)
-
Common 3D shapes: Cube, Cuboid, Cylinder, Sphere, Cone, Pyramid, Prism
