Mathematics VIII

Rational Numbers
16 Topics
Recalling Rational Numbers
Closure Property of Rational Numbers Part 1
Closure Property of Rational Numbers Part 2
Commutative Property of Rational Numbers Part 1
Commutative Property of Rational Numbers Part 2
Associativity of Rational Numbers Part 1
Associativity of Rational Numbers Part 2
Associativity of Rational Numbers Part 3
Associativity of Rational Numbers Part 4
Problems Based on Properties of Rational Numbers
The Role of Zero, One and Negative of a Rational Number
Reciprocal of a Rational Number and Distributivity of Multiplication over Addition for Rational Numbers
Representation of Rational Numbers on the Number Line
Finding Rational Numbers Between Two Rational Numbers Part 1
Finding Rational Numbers Between Two Rational Numbers Part 2
Finding Rational Numbers Between Two Rational Numbers Part 3
Linear Equations in One Variable
9 Topics
Introduction to Linear Equations
Rules to Solve a Linear Equation
Solving Equations which have Linear Expressions on one side and numbers on the other side
Solving Equations Involving Fractions
Applications of Linear Equations Part 1
Applications of Linear Equations Part 2
Applications of Linear Equations Part 3
Applications of Linear Equations Part 4
Equations Reducible to the Linear Form
Understanding Quadrilaterals
14 Topics
Introduction to Polygons
Classification of Polygons
Angle Sum Property of a Quadrilateral
Sum of Exterior Angles of a Polygon
Problem Based on Angle Sum Property of a Quadrilateral
Problem Based on Exterior Angles of a Polygon
Trapezium
Introduction to Kites
Properties of Kite
Introduction to Parallelograms
Properties of Parallelograms
Rhombus
Rectangle
Square
Practical Geometry
 5 Topics
Constructing a Quadrilateral when the Lengths of Four Sides and a Diagonal are Given
Constructing a Quadrilateral when the Lengths of Three Sides and Two Diagonals are Given
Constructing a Quadrilateral When Two Adjacent Sides and Three Angles are Known
Constructing a Quadrilateral When Three sides and Two included Angles are Given
Constructing a Quadrilateral: Special Case
Data Handling
 7 Topics
Recalling Pictographs
Recalling Bar Graphs
Organising Data
Grouping Data
Histogram
Pie Chart
Chance and Probability
Squares and Square Roots
 14 Topics
Recalling Square Numbers
Checking Whether a Given Natural Number is a Perfect Square or Not
Properties of Square Numbers Part 1
Properties of Square Numbers Part 2
Patterns
Finding the Square of a Number Part 1
Finding the Square of a Number Part 2
Pythagorean Triplets
Square Roots and Their Properties
Finding Square Root Through Repeated Subtraction
Finding the Square Root of a Perfect Square by Prime Factorization
Word Problems
Finding Square Root by Division Method
Square Roots of Decimals
Cubes and Cube Roots
 4 Topics
Introduction to Cube Numbers
Checking Whether a Natural Number is a Perfect Cube or Not
Properties of Cubes of Natural Numbers
Finding the Cube of a Two-digit Number using the Column Method
Comparing Quantities
 13 Topics
Revising Ratios
Revising Percentages
Increase and Decrease Per cent
Discount
Cost price, Selling price, Profit per cent and Loss per cent
Sales Tax/Value Added Tax
Introduction to Compound Interest
Deducing the Formula for Calculating Compound Interest
Some Particular Cases
Problem Based on Compound Interest
Applications of Compound Interest Formula Part 1
Applications of Compound Interest Formula Part 2
Applications of Compound Interest Formula Part 3
Algebraic Expressions and Identities
 9 Topics
Introduction to Algebra
Addition of Algebraic Expressions
Subtraction of Algebraic Expressions
Multiplication of Algebraic Expressions Part 1
Multiplication of Algebraic Expressions Part 2
Identities
Applying Identities Part 1
Applying Identities Part 2
Applying Identities Part 3
Visualising Solid Shapes
 2 Topics
Introduction To Solid Shapes
Views of an object
Mensuration
 12 Topics
Recalling Areas and Perimeters of Plane Figures
Area and Perimeter of Compound Shapes
Deriving the Formula for the Area of a Trapezium
Area of a General Quadrilateral
Area of a Rhombus
Problem Based on the Area of a Trapezium
Surface Area of a Cuboid
Surface Area of a Cube
Problems Based on Surface Area of Cube and Cuboid
Volume of Cuboid
Volume of Cube
Volume of Cylinder
Exponents and Powers
 5 Topics
Powers with Negative Exponents
Laws of Exponents Part 1
Laws of Exponents Part 2
Laws of Exponents Part 3
Problem Based on Exponents
Direct and Inverse Proportions
 5 Topics
Direct and Inverse Proportions Part 1
Direct and Inverse Proportions Part 2
Direct and Inverse Proportions Part 3
Direct and Inverse Proportions Part 4
Direct and Inverse Proportions Part 5
Factorization
 7 Topics
Factors
Common Factors
Greatest Common Factor
Method of Common Factors
Factorisation by Regrouping the Terms
Division of a Monomial by Another Monomial
Division of a Polynomial by a Monomial
Introduction to Graphs
 5 Topics
Exercise 15.1, Introduction to Graphs Part 1
Exercise 15.1, Introduction to Graphs Part 2
Exercise 15.1, Introduction to Graphs Part 3
Solve the Sums Exercise 15.2
Solve the Sums Exercise 15.3
Playing with Numbers
 5 Topics
Introduction to Playing with Numbers
Numbers in General Form
Games with Numbers
Letters for Digits
Tests of Divisibility
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Rational Numbers

Mathematics VIII Rational Numbers

In this chapter we will learn about Operations on rational numbers, Representation of rational number as a decimal, Associative and Distributive Properties of Rational Numbers, Closure and Commutative Properties of Rational Numbers

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