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Class 6
Algebra
Algebraic Expressions
Simplifying Algebraic Expression by Eliminating the Grouping Symbols
Class 6
1.
Knowing Our Numbers
1.1.
Representation of Large Numbers
1.1.1.
Write Large Numbers by Separating the Periods
1.1.1.1.
Write Large Numbers by Separating the Periods (Indian Number System) {India Only}
1.1.1.2.
Write Large Numbers by Separating the Periods (International Number System)
1.1.2.
Write Numerals as Number Names
1.1.2.1.
Write Numerals as Number Names (Indian Number System) {India Only}
1.1.2.2.
Write Numerals as Number Names (International Number System)
1.1.3.
Write Number Names as Numerals
1.1.3.1.
Write Number Names as Numerals (Indian Number System) {India Only}
1.1.3.2.
Write Number Names as Numerals (International Number System)
1.1.4.
Relation Between Different Periods
1.1.4.1.
Relation Between Different Periods (Indian Number System)
1.1.4.2.
Relation Between Different Periods (International Number System)
1.1.5.
Numbers in Expanded Form
1.2.
Successor and Predecessor
1.2.1.
Successor of a Number
1.2.2.
Predecessor of a Number
1.3.
n
Digit Numbers
1.4.
Place of a Digit
1.5.
Compare Large Numbers
1.6.
Operations on Large Numbers
1.6.1.
Word Problem on Addition of Large Numbers
1.6.2.
Word Problem on Subtraction of Large Numbers
1.6.3.
Word Problem on Multiplication of Large Numbers
1.6.4.
Word Problem on Division of Large Numbers
1.6.5.
Word Problem on Mixed Operations
1.7.
Rounding Numbers
1.7.1.
Rounding off numbers
1.7.1.1.
Rounding off to the nearest ten
1.7.1.2.
Rounding off to the nearest hundred
1.7.1.3.
Rounding off to the nearest thousand
1.7.2.
Estimating Sum
1.7.3.
Estimating Difference
1.7.4.
Estimating Products
1.7.5.
Estimating Quotients
1.8.
Roman Numerals
1.8.1.
Introduction to Roman Numerals
1.8.2.
Write Roman Numerals for Hindu-Arabic Numerals
1.8.3.
Write Hindu-Arabic Numerals for Roman Numerals
1.8.4.
Meaningless Roman Numerals
1.8.5.
Compare Roman Numerals
1.8.6.
Operations on Roman Numerals
1.8.7.
Word Problems on Basic Arithmetic Using Roman Numerals
1.9.
Simplification
1.9.1.
Numerical Expressions (DMAS/BODMAS)
2.
Whole Numbers
2.1.
Introduction to Natural Numbers and Whole Numbers
2.2.
Operations on Whole Numbers
2.2.1.
Addition and Subtraction of Whole Numbers
2.2.1.1.
Addition of Whole Numbers
2.2.1.2.
Properties of Addition on Whole Numbers
2.2.1.3.
Solving Magic Square
2.2.1.4.
Subtraction of Whole Numbers
2.2.2.
Multiplication and Division of Whole Numbers
2.2.2.1.
Multiplication of Whole Numbers
2.2.2.2.
Properties of Multiplication of Whole Numbers
2.2.2.3.
Division of Whole Numbers
2.2.2.4.
Properties of Division of Whole Numbers
2.2.3.
Word Problems on Whole Numbers
3.
Playing With Numbers
3.1.
Factors and Multiples of a Number
3.1.1.
Finding Factors of a Number
3.1.2.
Finding Multiples of a Number
3.1.3.
Word Problems on Factors and Multiples
3.1.4.
Properties of Factors and Multiples
3.1.5.
Types of Numbers
3.1.5.1.
Odd and Even Numbers
3.1.5.1.1.
Even numbers
3.1.5.1.2.
Odd numbers
3.1.5.1.3.
Properties of Odd and Even numbers
3.1.5.2.
Prime and Composite Numbers
3.1.5.2.1.
Composite Numbers
3.1.5.2.2.
Prime Numbers
3.1.5.2.3.
Properties of Composite and Prime Numbers
3.1.5.3.
Twin Primes
3.1.5.4.
Prime Triplet
3.1.6.
Co-Primes
3.1.7.
Perfect Numbers
3.2.
Tests of Divisibility
3.2.1.
Test Divisibility by 2
3.2.2.
Test Divisibility by 3
3.2.3.
Test Divisibility by 4
3.2.4.
Test Divisibility by 5
3.2.5.
Test Divisibility by 6
3.2.6.
Test Divisibility by 7
3.2.7.
Test Divisibility by 8
3.2.8.
Test Divisibility by 9
3.2.9.
Test Divisibility by 10
3.2.10.
Test Divisibility by 11
3.3.
Prime Factorization of a Number
3.4.
HCF and LCM
3.4.1.
HCF (Highest Common Factor)
3.4.2.
LCM (Lowest Common Multiple)
3.4.3.
Properties of LCM and HCF
3.4.4.
Word problems on HCF and LCM
4.
Basic Geometrical Ideas
4.1.
Understand the Basic Terms in Geometry (Point, Line, Line Segment, Ray, and Plane)
4.2.
Types of Lines
4.2.1.
Count the Number of Line Segments
4.2.2.
Parallel Lines
4.2.3.
Perpendicular Lines
4.2.4.
Intersecting Lines
4.3.
Collinear and Non-Collinear Points
4.4.
Angle
4.4.1.
Introduction to Angles
4.4.2.
Interior and Exterior of An Angle
4.4.3.
Finding the Number of Angles in the Given Figure
4.5.
Triangles
4.5.1.
Introduction to Triangles
4.5.2.
Congruent Triangles
4.5.3.
Interior and Exterior of a Triangle
4.6.
Quadrilateral
4.6.1.
Introduction to Quadrilaterals
4.6.2.
Convex and Concave Quadrilaterals
4.6.3.
Interior and Exterior of a Quadrilateral
4.7.
Polygon
4.7.1.
Curves
4.7.2.
Understanding Polygons
4.8.
Circle
4.8.1.
Introduction to Circle
4.8.2.
Radius and Diameter of a Circle
4.8.3.
More about Circle
5.
Understanding Elementry Shapes
5.1.
Angle
5.1.1.
Types of an Angles
5.1.2.
Measuring an Angle by a Protractor
5.2.
Triangles
5.2.1.
Types of Triangles by the Lengths of Sides
5.2.2.
Types of Triangles by Angles
5.2.3.
Count the Number of Triangles
5.3.
Quadrilateral
5.3.1.
Special Types of Quadrilateral
5.4.
Three Dimensional (3-D) Shapes
5.4.1.
Identifying 3-D Shapes
5.4.2.
Faces, Edges and Vertices of 3-D Shapes (Cuboid, Cube, Cone, Cylinder, Sphere, Pyramid and Prism)
6.
Integers
6.1.
Introduction to Integers
6.2.
Representation of Integers on a Number Line
6.3.
Successor and Predecessor of an Integer
6.4.
Comparing Integers
6.5.
Absolute Value of an Integer
6.6.
Operations on Integers
6.6.1.
Addition and Subtraction of Integers
6.6.1.1.
Addition of Integers
6.6.1.2.
Addition of Integers on the Number Line
6.6.1.3.
Properties of Addition of Integers
6.6.1.4.
Subtraction of Integers
6.6.1.5.
Subtraction of Integers on the Number Line
6.6.1.6.
Properties of Subtraction of Integers
6.6.2.
Mixed Operations on Integers
6.6.3.
Word Problems on Integers
7.
Fractions
7.1.
Fraction and Fractional numbers
7.2.
Fractions on a Number Line
7.3.
Fraction as a Part of a Collection
7.4.
Fractional Part of a Collection
7.5.
Identifying Like and Unlike Fractions
7.6.
Unit Fraction
7.7.
Proper, Improper and Mixed Fractions
7.7.1.
Understand the Meaning of Proper, Improper and Mixed Fractions
7.7.2.
Convert Improper Fractions to Mixed Fractions
7.7.3.
Convert Mixed Fractions to Improper Fractions
7.8.
Equivalent Fractions
7.9.
Simplest Form of a Fraction
7.10.
Comparing Fractions
7.10.1.
Comparing Like Fractions
7.10.2.
Comparing Fractions with Same Numerator
7.10.3.
Comparing Unlike Fractions
7.11.
Operations on Fractions
7.11.1.
Addition of Fractions
7.11.1.1.
Addition of Like Fractions
7.11.1.2.
Addition of Unlike Fractions
7.11.1.3.
Addition of Mixed Fractions
7.11.1.4.
Word Problems on Addition of Fractions
7.11.2.
Subtraction of Fractions
7.11.2.1.
Subtraction of Like Fractions
7.11.2.2.
Subtraction of Unlike Fractions
7.11.2.3.
Subtraction of Mixed Fractions
7.11.2.4.
Word Problems on Subtraction of Fractions
7.11.3.
Addition and Subtraction of Fractions
7.11.3.1.
Simplify Expressions Involving Addition and Subtraction
7.11.3.2.
Word Problems on Addition and Subtraction of Fractions
8.
Decimals
8.1.
Introduction And Reading a Decimal Number
8.2.
Place Value Chart
8.3.
Expanded Form of Decimal Numbers
8.4.
Like, Unlike And Equivalent Decimals
8.5.
Ordering And Comparing Decimals
8.6.
Relate Decimals and Fractions
8.6.1.
Convert Decimals to Fractions
8.6.2.
Convert Fractions to Decimals
8.6.3.
Conversion of Metric Units using Decimals
8.7.
Addition and Subtraction of Decimals
8.7.1.
Addition of Decimals
8.7.2.
Subtraction of Decimals
8.7.3.
Mixed Operations on Decimals: Addition and Subtraction
8.7.4.
Word Problems on Addition and Subtraction of Decimals
9.
Data Handling
9.1.
Introduction and Tabular Representation of Data
9.2.
Pictographs
9.2.1.
Introduction and Drawing Pictographs
9.2.2.
Interpreting Pictographs
9.3.
Bar graphs
9.3.1.
Drawing Bar Graphs
9.3.2.
Interpreting Bar Graphs
10.
Mensuration
10.1.
Area of a Figure Composed of Unit Squares
10.2.
Perimeter of a Figure Composed of Unit Squares
10.3.
Perimeter of a Triangle
10.4.
Perimeter of Polygons
10.5.
Area and Perimeter of a Rectangle
10.6.
Area and Perimeter of a Square
11.
Algebra
11.1.
Algebraic Expressions
11.1.1.
Operations on Literals and Numbers
11.1.2.
Variables and Constants
11.1.3.
Powers of a Literal And Coefficients of an Algebraic Expression
12.
Ratio And Proportion
12.1.
Ratio
12.1.1.
Equivalent Ratio
12.1.2.
Ratio and its Simplest Form
12.1.3.
Ratio of Two Quantities by Converting Them in Same Units
12.1.4.
Comparison of Ratios
12.2.
Proportion
12.2.1.
The Condition for the Given Numbers/Ratios to be in Proportion
12.2.2.
Find the Unknown Variable When Three/Four Numbers are in Proportion
12.3.
Word Problems On Ratio And Proportion
12.4.
Unitary Method
13.
Symmetry
13.1.
Linear Symmetry Around Us
13.2.
Linear Symmetry in Geometric Figures and Alphabets
14.
Practical Geometry
14.1.
The Circle
14.1.1.
Construction of a Circle When Its Radius is Known
14.2.
A Line Segment
14.2.1.
Construction of a Line Segment of a Given Length
14.2.2.
Constructing a Copy of a Given Line Segment
14.3.
Perpendiculars
14.3.1.
Perpendicular to a Line Through a Point on It
14.3.2.
Perpendicular Bisector of a Line Segment
14.4.
Angles
14.4.1.
Constructing an Angle of a Given Measure
14.4.2.
Constructing a Copy of an Angle of Unknown Measure
14.4.3.
Bisector of an Angle
14.4.4.
Angles of Special Measures
Class 6 NCERT (CBSE and ICSE)
Simplifying Algebraic Expression by Eliminating the Grouping Symbols
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