Topics
Number System
Number System (Including Estimation and Approximation)
Number System(Consolidating the Sense of Numberness)
Theme 1 : Numbers
Ratio and Proportion
Numbers in Indian and International Systems (With Comparison)
Theme 2 : Ratio, Proportion and Arithmetic Problems
Estimation
Numbers in India and International System (With Comparison)
Natural Numbers and Whole Numbers (Including Number Line and Patterns)
Theme 3 : Algebra
Algebra
Theme 4 : Geometry
Geometry
Place Value
Negative Numbers and Integers
Natural Numbers and Whole Numbers (Including Patterns)
Mensuration
Theme 5 : Mensuration
Sets
Fractions
Data Handling
Negative Numbers and Integers
Theme 6 : Statistics
Decimal Fractions
Number Line
Playing with Numbers (Including H.C.F. and L.C.M.)
HCF and LCM
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
Ratio and Proportion (Including Unitary Method)
Percent (Percentage)
Sets
Ratio
Idea of Speed, Distance and Time
Fundamental Concepts (With operations on Algebraic Expressions)
Proportion (Including Word Problems)
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
Idea of Speed, Distance and Time
Circles
Symmetry
Fundamental Concepts
Constructions
Fundamental Operations (Related to Algebraic Expressions)
Recognition of Solids
Substitution (Including Use of Brackets as Grouping Symbols)
Perimeter and Area of Plane Figures
Framing Algebraic Expressions (Including Evaluation)
Data Handling (Including Mean and Median)
Simple (Linear) Equations (Including Word Problems)
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: 10 minutes
- Introduction
- Definition: Perpendicular Lines
- Real-Life Applications
- Key Points Summary
Maharashtra State Board: Class 6
Introduction
Perpendicular Lines: Two lines are considered perpendicular to each other when they form an angle of 90°.
The concept of perpendicularity is built upon the Right Angle.
A Right Angle is an angle with an exact measure of 90° (ninety degrees).
- Geometric Representation: A right angle is represented in diagrams by a small square (□) placed at the vertex (the point where the two rays or lines meet).
CISCE: Class 6
Definition: Perpendicular Lines
When two lines intersect, and the angle between them is a right angle, then the lines are said to be perpendicular.
In mathematics, the relationship of perpendicularity is denoted by the symbol ⊥.
If Line A and Line B are perpendicular, the relationship is written as AB ⊥ PQ.
CISCE: Class 6
Real-Life Applicatons
-
Notebook Corner: Vertical and horizontal edges meet at 90°.
-
Wooden Planks: Adjacent sides form right angles in a frame.
-
Room Walls: Each wall is perpendicular to the floor.
CISCE: Class 6
Key Points Summary
| Term | Definition | Notation/Symbol | Condition |
| Right Angle | An angle measuring exactly 90°. | □ | 90° |
| Perpendicularity | The relationship between lines that meet at 90°. | ⊥ | Intersection creates a Right Angle |
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