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Class 7
Integers
Operations on Integers
Mixed Operations of Integers
Class 7
1.
Integers
1.1.
Introduction to Integers
1.2.
Representation of Integers on a Number Line
1.3.
Successor and Predecessor of an Integer
1.4.
Comparing Integers
1.5.
Absolute Value of an Integer
1.6.
Operations on Integers
1.6.1.
Addition and Subtraction of Integers
1.6.1.1.
Addition of Integers
1.6.1.2.
Addition of Integers on the Number Line
1.6.1.3.
Properties of Addition of Integers
1.6.1.4.
Subtraction of Integers
1.6.1.5.
Subtraction of Integers on the Number Line
1.6.1.6.
Properties of Subtraction of Integers
1.6.2.
Multiplication and Division of Integers
1.6.2.1.
Multiplication of Integers
1.6.2.2.
Properties of Multiplication of Integers
1.6.2.3.
Division of Integers
1.6.2.4.
Properties of Division of Integers
1.6.3.
Mixed Operations of Integers
1.6.4.
Word Problems on Integers
2.
Fractions and Decimals
2.1.
Fractions
2.1.1.
Identifying Like and Unlike Fractions
2.1.2.
Unit Fraction
2.1.3.
Proper, Improper and Mixed Fractions
2.1.3.1.
Understand Proper, Improper and Mixed Fractions
2.1.3.2.
Convert Improper Fractions to Mixed Fractions
2.1.3.3.
Convert Mixed Fractions to Improper Fractions
2.1.4.
Equivalent Fractions
2.1.5.
Simplest Form of a Fraction
2.1.6.
Comparing Fractions
2.1.6.1.
Comparing Like Fractions
2.1.6.2.
Comparing Fractions with Same Numerator
2.1.6.3.
Comparing Unlike Fractions
2.1.7.
Operations on Fractions
2.1.7.1.
Addition of Fractions
2.1.7.1.1.
Addition of Like Fractions
2.1.7.1.2.
Addition of Unlike Fractions
2.1.7.1.3.
Addition of Mixed Fractions
2.1.7.2.
Subtraction of Fractions
2.1.7.2.1.
Subtraction of Like Fractions
2.1.7.2.2.
Subtraction of Unlike Fractions
2.1.7.2.3.
Subtraction of Mixed Fractions
2.1.7.3.
Simplify Expressions involving Addition and Subtraction
2.1.7.4.
Multiplication of Fractions
2.1.7.4.1.
Simplify Expressions involving Multiplication
2.1.7.4.2.
Use of 'OF'
2.1.7.5.
Division of Fractions
2.1.7.5.1.
Reciprocal of a Fraction
2.1.7.5.2.
Simplify Expressions involving Division
2.1.7.6.
Simplification by Using Operations
2.1.7.7.
Word Problems on Fractions
2.1.7.7.1.
Word Problems on Addition of Fractions
2.1.7.7.2.
Word Problems on Subtraction of Fractions
2.1.7.7.3.
Word Problems on Addition and Subtraction of Fractions
2.1.7.7.4.
Word Problems on Multiplication of Fractions
2.1.7.7.5.
Word Problems on Division of Fractions
2.2.
Decimals
2.2.1.
Introduction to Decimals
2.2.2.
Reading a Decimal Number
2.2.3.
Place Value Chart
2.2.4.
Expanded Form of Decimal Numbers
2.2.5.
Like and Unlike Decimals
2.2.6.
Equivalent Decimals
2.2.7.
Comparing Decimals
2.2.8.
Ordering Decimals
2.2.9.
Relate Decimals and Fractions
2.2.9.1.
Convert Decimals to Fractions
2.2.9.1.1.
Convert Decimals to Proper Fractions
2.2.9.1.2.
Convert Decimals to improper Fractions
2.2.9.1.3.
Convert Decimals to Mixed Fractions
2.2.9.2.
Convert Fractions to Decimals
2.2.9.2.1.
Convert Fractions with Denominators as Powers of 10 to Decimals
2.2.9.2.2.
Convert Any Fractions to Decimals
2.2.10.
Conversion of Metric Units Using Decimals
2.2.11.
Addition and Subtraction of Decimals
2.2.11.1.
Addition of Decimals
2.2.11.2.
Subtraction of Decimals
2.2.11.3.
Mixed Operations on Decimals: Addition and Subtraction
2.2.11.4.
Word Problems on Addition and Subtraction of Decimals
2.2.12.
Multiplication and Division of Decimals
2.2.12.1.
Multiplication of Decimals
2.2.12.1.1.
Multiplication of a Decimal by 10, 100, 1000 etc
2.2.12.1.2.
Multiplication of a Decimal by a Whole Number
2.2.12.1.3.
Multiplication of Two/Three Decimals
2.2.12.1.4.
Word Problems on Multiplication of Decimals
2.2.12.2.
Division of Decimals
2.2.12.2.1.
Division of a Decimal by 10, 100, 1000 etc
2.2.12.2.2.
Division of a Decimal by a Multiple of 10, 100, 1000 etc
2.2.12.2.3.
Division of a Decimal by a Whole Number
2.2.12.2.4.
Division of a Decimal by a Decimal
2.2.12.2.5.
Division of a Whole Number by a Decimal
2.2.12.2.6.
Word Problems on Division of a Decimal
2.2.12.3.
Mixed Operations on Decimals
3.
Data Handling
3.1.
Tabular Representation of Data
3.2.
Mean, Median, and Mode
3.2.1.
Mean
3.2.2.
Median
3.2.3.
Mode
3.3.
Bar Graphs
3.3.1.
Drawing Bar Graphs
3.3.2.
Interpreting Bar Graphs
3.4.
Probability
4.
Simple Equations
4.1.
Solving Linear Equations by the Method of Transposition
4.2.
Word Problems Based on Linear Equations
5.
Lines and Angles
5.1.
Types of Angles
5.1.1.
Complementary and Supplementary Angles
5.1.2.
Linear Pair of Angles
5.1.3.
Vertically Opposite Angles
5.1.4.
Angles Around a Point
5.2.
Angles Formed when a Transversal Cuts Two Parallel Lines
6.
The Triangle and its Properties
6.1.
Triangles
6.1.1.
Classification of Triangles by the Length of the Sides
6.1.2.
Classification of Triangles by the Angles
6.2.
Properties of a Triangle
6.2.1.
Angle Sum Property of a Triangle
6.2.2.
Exterior Angle Property of a Triangle
6.2.3.
Triangle Inequality
6.2.4.
Pythagoras' Theorem
7.
Congruence of Triangles
7.1.
Understanding the Meaning
7.2.
Congruence of Triangles
8.
Comparing Quantities
8.1.
Ratio
8.1.1.
Equivalent Ratio
8.1.2.
Ratio in the Simplest Form
8.1.3.
Ratio of Two Quantities by Converting Them in Same Units
8.1.4.
Comparison of Ratios
8.1.5.
Miscellaneous on Ratio
8.2.
Unitary Method
8.2.1.
Problems on Direct Variation
8.2.2.
Problems on Inverse Variation
8.3.
Percentage
8.3.1.
Conversions
8.3.1.1.
Convert a Fraction into Percentage
8.3.1.2.
Convert a Percentage into Fraction
8.3.1.3.
Convert Percentage into a Ratio
8.3.1.4.
Convert a Ratio into Percentage
8.3.1.5.
Convert Percentage into Decimal form
8.3.1.6.
Convert Decimal into Percentage
8.3.2.
Percentage of a Quantity
8.3.3.
Solving Expressions involving Percentages
8.3.4.
Word Problems on Percentage
8.4.
Profit and Loss
8.4.1.
Terms Related to Profit and Loss
8.4.2.
Problems on Finding the Gain/Loss and Gain%/Loss%
8.4.3.
Problems on Finding the SP of the Article
8.4.4.
Problems on Finding the CP of the Article
8.4.5.
Problems on Finding the Number of Articles
8.5.
Simple Interest
8.5.1.
Problems on Calculating the Simple Interest
8.5.2.
Problems on Calculating the Rate Percent
8.5.3.
Problems on Calculating Time Period
8.5.4.
Problems on Calculating the Principal
9.
Rational Numbers
9.1.
Understanding Rational Numbers
9.2.
Standard Form of a Rational Number
9.3.
Equivalent Rational Numbers
9.4.
Comparison of Rational Numbers
9.5.
Representation of Rational Numbers on the Real Line
9.6.
Addition and Subtraction of Rational Numbers
9.6.1.
Addition of Rational Numbers
9.6.2.
Additive Inverse of a Rational Number
9.6.3.
Subtraction of Rational Numbers
9.7.
Multiplication and Division of Rational Numbers
9.7.1.
Multiplication Of Rational Numbers
9.7.2.
Reciprocal of Rational Number
9.8.
Division Of Rational Numbers
9.9.
Rational Numbers Lying Between Two Rational Numbers
9.10.
Simplifying Rational Numbers
9.11.
Word Problems on Rational Numbers
10.
Practical Geometry
10.1.
Construction of a Line Parallel to a Given Line
10.2.
Construction of a Triangle
10.2.1.
Constructing a Triangle When its Three Sides are Known
10.2.2.
Constructing a Triangle When Two Sides and Angle Between Them are Known
10.2.3.
Constructing a Triangle When Two Angles and Side Included Between are Known
10.2.4.
Constructing a Right-Angled Triangle When One Leg and Hypotenuse are Known
11.
Perimeter and Area
11.1.
Standard Units of Area
11.2.
Area and Perimeter of a Square
11.3.
Area and Perimeter of a Rectangle
11.4.
Area of 4 Walls of a Room
11.5.
Area between Two Rectangles
11.6.
Area and Perimeter of Triangles
11.7.
Area and Perimeter of Parallelogram and Rhombus
11.8.
Circumference and Area of a Circle
11.9.
Area Enclosed Between Two Different Shapes
12.
Algebraic Expressions
12.1.
Variables and Constants
12.2.
Types of Algebraic Expressions
12.3.
Operations on Algebraic Expressions
12.3.1.
Addition of Algebraic Expressions
12.3.2.
Subtraction of Algebraic Expressions
12.3.3.
Addition and Subtraction of Algebraic Expressions
12.3.4.
Multiplication of Algebraic Expressions
12.3.4.1.
Multiplication of Monomials
12.3.4.2.
Multiplication of a Monomial and a Binomial
12.3.4.3.
Multiplication of two Binomials
13.
Exponents and Powers
13.1.
Introduction to Exponents
13.2.
Exponent of a Rational Number
13.3.
Express Rational Numbers in Exponential Form
13.4.
Solving Expressions Involving Exponents
13.5.
Laws of Exponents
13.6.
Word Problems on Exponents
13.7.
Finding the Unknown from the Given Exponential Equation
13.8.
Standard Form of Large Numbers
13.9.
Standard Form of Small Numbers
13.10.
Expanded Form of Large Numbers
14.
Symmetry
14.1.
Linear Symmetry
14.1.1.
Linear Symmetry Around Us
14.1.2.
Linear Symmetry in Geometric Figures
14.1.3.
Linear Symmetry in Alphabets
14.2.
Rotational Symmetry
14.2.1.
Rotational Symmetry in Figures and Alphabets
15.
Visualising Solid Shapes
15.1.
Identifying 3-D Shapes
15.2.
Faces, Edges and Vertices of 3-D Shapes (Cuboid, Cube, Cone, Cylinder, and Sphere)
15.3.
Net of a 3-D Shape
Class 7 NCERT (CBSE and ICSE)
Mixed Operations of Integers
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