Topics
Number System
Number System(Consolidating the Sense of Numberness)
Theme 1 : Numbers
Number System (Including Estimation and Approximation)
Estimation
Theme 2 : Ratio, Proportion and Arithmetic Problems
Numbers in Indian and International Systems (With Comparison)
Ratio and Proportion
Theme 3 : Algebra
Algebra
Numbers in India and International System (With Comparison)
Natural Numbers and Whole Numbers (Including Number Line and Patterns)
Negative Numbers and Integers
Place Value
Theme 4 : Geometry
Geometry
Sets
Theme 5 : Mensuration
Mensuration
Natural Numbers and Whole Numbers (Including Patterns)
Fractions
Theme 6 : Statistics
Data Handling
Negative Numbers and Integers
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)
Sets
Percent (Percentage)
Ratio
Idea of Speed, Distance and Time
Proportion (Including Word Problems)
Fundamental Concepts (With operations on Algebraic Expressions)
Unitary Method
Framing Algebraic Expressions (Including Substitution and Linear Equations)
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
Constructions
Symmetry
Fundamental Concepts
Fundamental Operations (Related to Algebraic Expressions)
Substitution (Including Use of Brackets as Grouping Symbols)
Recognition of Solids
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
- Definition: Negative Numbers
- Need for Negative Numbers
- Representation of Negative Numbers on the Number Line
- Real-Life Examples
- Key Points Summary
CISCE: Class 6
Definition: Negative Numbers
Negative numbers are numbers less than zero, written with a minus (-) sign in front of them.
CISCE: Class 6
Need for Negative Numbers
When you subtract a smaller number from a larger number, you get a positive result.
For example:
- 15 - 6 = 9 (Positive number)
- 8 - 3 = 5 (Positive number)
- 6 - 2 = 4 (Positive number)
- 45 - 15 = 30 (Positive number)
When you subtract a larger number from a smaller number, the result is negative.
For example:
- 6 - 15 = -9 (Negative result)
- 18 - 38 = -20 (Negative result)
This shows that if a larger number is subtracted from a smaller number, the result is negative.
CISCE: Class 6
Representation of Negative Numbers on the Number Line
Negative numbers are placed to the left of 0 on the number line, which is a visual way of representing numbers lower than zero.
CISCE: Class 6
Real-Life Examples
- Profit and Loss: Profit is positive, while loss is negative.
- Temperature: Below-zero temperatures are negative (e.g., -5°C).
- Height above/below sea level: Heights above sea level are positive, while depths below sea level are negative.
- Directions: Moving south could be represented as negative, while moving north would be positive.
CISCE: Class 6
Key Points Summary
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Every number has an opposite: +5 and –5 are opposites.
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Adding opposites always gives zero: (+5) + (–5) = 0.
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Subtracting a negative number is the same as addition.
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The number line helps us visualize and compare integers.
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In real life, negative numbers represent loss, debt, below zero, etc.
