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: 10 minutes
- Introduction
- Variables and Literals
- Common Signs and Symbols
- Understanding Algebraic Language
- Real-Life Application
- Key Points Summary
CISCE: Class 6
Introduction
Algebra is like generalised arithmetic. Instead of only numbers, we use letters—called variables—to stand for unknown or changing values.
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Example of arithmetic: 5, –8, 0.64
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Examples of algebraic expressions: 7x, 3x – 2, 5a + b
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Analogy: Think of each letter (x, y, a) as a “mystery box” whose contents you don’t yet know.
CISCE: Class 6
Variables and Literals
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Variables (a, b, x, y, z): Letters whose values can change.
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Literals: Another name for variables.
CISCE: Class 6
Common Signs and Symbols
| Symbol | Name | Meaning |
|---|---|---|
| + | plus | add |
| – | minus | subtract |
| × | times | multiply |
| ÷ | divided by | divide |
| = | equals | the same as |
| ≠ | not equal to | different from |
| < | less than | smaller than |
| > | greater than | larger than |
| ≤ | less than or equal to | not more than |
| ≥ | greater than or equal to | not less than |
| ∴ | therefore | so |
| ∵ | because | since |
| ⇒ | implies | shows that |
CISCE: Class 6
Understanding Algebraic Language
| Algebraic Form | Statement |
|---|---|
| (i) x + y = 3 | x plus y is equal to 3, or the sum of x and y is equal to 3. |
| (ii) p - 5 = x | p minus 5 is equal to x, or p decreased by 5 is equal to x. |
| (iii) 5x > 7 | 5 multiplied by x is greater than 7, or the product of 5 and x is greater than 7. |
| (iv) 8/y < 3 | 8 divided by y is less than 3. |
CISCE: Class 6
Real-Life Application
1.Imagine you have a box with x chocolates. Your friend gives you 4 more. Now you have 8 chocolates.
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Write as: x + 4 = 8
2. Shopping Bills
If each pen costs ₹x and you buy 5 pens, the total cost is 5x rupees.
If you have ₹50 and spend ₹x on snacks, you have 50 – x rupees left.
CISCE: Class 6
Key Points Summary
- Algebra uses letters (variables) instead of only numbers.
- Variables are like mystery bags.
- Learn symbols: +, –, ×, ÷, =, <, >.
- Translate between word statements and algebraic expressions.
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