Course curriculum

  • 1

    1) Rational Numbers

    • Introduction

    • Introduction - Quiz

    • Standard Form of a Rational Number

    • Standard Form of a Rational Number - Quiz

    • Properties of Rational Numbers

    • Properties of Rational Numbers - Quiz

    • Commutative Property

    • Commutative Property - Quiz

    • Associative Property

    • Associative Property - Quiz

    • Identity & Additive Element

    • Identity & Additive Element - Quiz

    • Distributive Law

    • Distributive Law - Quiz

    • How to plot rational number on a Number line

    • How to plot rational number on a Number line - Quiz

  • 2

    2) Cube and Cube Roots

    • Introduction and Properties

    • Introduction and Properties - Quiz

    • Is a given number a perfect cube?

    • Is a given number a perfect cube - Quiz

    • How to make a perfect square

    • How to make a perfect square - Quiz

    • Cubes and cube roots of rational number and negative integers

    • Cubes and cube roots of rational number and negative integers - Quiz

    • Cube root of product of integers

    • Cube root of product of integers - Quiz

    • Cube and cube root of decimal

    • Cube and cube root of decimal - Quiz

    • Some cube root patterns

    • Some cube root patterns - Quiz

  • 3

    3) Powers & Exponents

    • Introduction

    • Introduction - Quiz

    • Express rational number in exponential form

    • Express rational number in exponential form - Quiz

    • Ist law of exponent

    • 1st law of exponent - Quiz

    • 2nd law of exponents

    • 2nd law of exponents - Quiz

    • 3rd law of exponents

    • 3rd law of exponents - Quiz

    • 4th law of exponent

    • 4th Law of exponent - Quiz

    • 5th law of exponent

    • 5th law of exponents - Quiz

    • 6th law of exponent

    • 6th law of exponents - Quiz

    • Expressing the number in standard form

  • 4

    4) Square Roots

    • Prime Factorization & exponential form

    • Prime Factorization & exponential form - Quiz

    • Important facts for perfect square ending

    • Important facts for perfect square ending - Quiz

    • How to make a number perfect square by multiplying or dividing

    • How to make a number perfect square by multiplying or dividing - Quiz

    • Square Number Pattern

    • Square Number Pattern - Quiz

    • Methods to find square root

    • Methods to find square root - Quiz

    • Square root by repeated subtraction

    • Square root by repeated subtraction - Quiz

    • Long division method

    • Long division method - Quiz

    • What least number should be subtracted to make it a perfect square

    • What least number should be subtracted to make it a perfect square - Quiz

    • Pythagorean Triplet

    • Pythagorean Triplet - Quiz

    • Some interesting patterns

    • Some interesting patterns - Quiz

    • To find the square root of the number in decimal form

    • To find the square root of the number in decimal form - Quiz

  • 5

    5) Understanding Quadrilaterals

    • Introduction

    • Introduction - Quiz

    • Angle Sum Property of Quadrilateral

    • Angle Sum Property of Quadrilateral - Quiz

    • Interior Angle Property related problems

    • Interior Angle Property related problems - Quiz

    • Exterior Angle Property related problems

    • Exterior Angle Property related problems - Quiz

    • Types of Quadrilaterals

    • Types of Quadrilaterals - Quiz

    • Parallelogram Property related problems

    • Parallelogram Property related problems - Quiz

    • Example - Quiz

  • 6

    6) Linear Equation in 1 Variable

    • Introduction to Linear Equation

    • Introduction to Linear Equation - Quiz

    • How to frame linear equation & solve it

    • How to frame linear equation & solve it - Quiz

    • Example 1-3

    • Example 1-3 - Quiz

    • Speed related problems

    • Speed related problems - Quiz

    • Number related problems

    • Number related problems - Quiz

    • Age related problems

    • Age related problems - Quiz

    • Miscellaneous

    • Miscellaneous - Quiz

  • 7

    7) Comparing Quantities Part 1

    • Compound Interest

    • Compound Interest Yearly / Half Yearly

    • Inverse Problems on Compound Interest

    • Application of Compound Interest

  • 8

    8) Comparing Quantities Part 2

    • Percentage

    • Percentage - Quiz

    • Ratio

    • Ratio - Quiz

    • Increase and Decrease in %

    • Increase and Decrease in % - Quiz

    • Marked Price (MP) & Discounts

    • Marked Price (MP) & Discounts - Quiz

    • Profit and Loss

    • Profit and Loss - Quiz

    • Taxes

    • Taxes - Quiz

  • 9

    9) Visualising Solid Shapes

    • Recalling the Solid Shapes

    • Recalling the Solid Shapes - Quiz

    • Properties of 3D Shapes

    • Properties of 3D Shapes - Quiz

    • Views of 3D Shapes

    • Views of 3D Shapes - Quiz

    • Euler’s Formula

    • Euler's Formula - Quiz

    • Using Euler’s Formula

    • Using Euler's Formula - Quiz

  • 10

    10) Introduction to Graphs

    • Introduction

    • Double Line Graph

    • Location of a Point on a Graph

    • Location of Points in a Quadrant

    • Linear Equation Graph

    • Linear Graph of Straight-Line Graph

    • More Drawing for Graphs

    • Some Applications of Graph

  • 11

    11) Direct and Inverse Proportion

    • Ratio

    • Ratio - Quiz

    • Example 1-3

    • Example 1-3 - Quiz

    • Example 1-3

    • Example 1-3 - Quiz

    • Example 1-3

    • Example 1-3 - Quiz

    • Indirect Variation

    • Indirect Variation - Quiz

    • Example 1-2

    • Example 1-2 - Quiz

    • Example 1-2

    • Example 1-2 - Quiz

  • 12

    12) Data Handling

    • Observation and Data

    • Observation and Data - Quiz

    • Bar Graph (Column Graph)

    • Bar Graph (Column Graph) - Quiz

    • Histogram

    • Histogram - Quiz

    • Pie Chart

    • Pie chart - Quiz

    • More Pie Chart Related

    • More Pie Chart Related - Quiz

  • 13

    13) Algebraic Expressions

    • Introduction to Algebraic Expressions

    • Introduction to Algebraic Expressions - Quiz

    • Types of Algebraic Expressions

    • Types of Algebraic Expressions - Quiz

    • Addition of Algebraic Expressions

    • Addition of Algebraic Expressions - Quiz

    • Subtraction of Algebraic Expressions_

    • Subtraction of Algebraic Expressions - Quiz

    • Multiplication of Algebraic Expressions

    • Multiplication of Algebraic Expressions - Quiz

    • Case 2: Multiplication of a Polynomial by a Monomial

    • Case 2: Multiplication of a Polynomial by a Monomial - Quiz

    • Case 3: Multiplication of Two Binomials

    • Case 3: Multiplication of two binomials - Quiz

    • Division of a Monomial by a Monomial

    • Division of a Monomial by a Monomial - Quiz

  • 14

    14) Factorization

    • Intoduction

    • Introduction - Quiz

    • Factorisation by Regrouping Terms

    • Factorisation by Regrouping Terms - Quiz

    • Factorisation Using Algebraic Identities

    • Factorisation Using Algebraic Identities - Quiz

    • Case 2: When the Expression is the Difference of Two Squares

    • Case 2: When the Expression is the Difference of Two Squares - Quiz

    • Case 3

    • Case 3: - Quiz

  • 15

    15) Construction of Quadrilaterals

    • Introduction

    • When Two Diagonals and Three Sides are Given

    • When Two Adjacent Sides and Three Angles are Known

    • When Three Side and Two Included Angles are Given

    • Construction of Special Quadrilaterals

    • Example

    • Example

  • 16

    16) Mensturation Part 1

    • Introduction

    • Quadrilateral

    • Rhombus

    • Trapezium

    • Triangle

    • Parallelogram

    • Area of Path = Area of Rectangle ABCD - Area of Rectangle PQRS

  • 17

    17) Mensturation Part 2

    • Solid Shapes

    • Solid Shapes - Quiz

    • Problems Related to the Surface Area of a Cuboid

    • Problems Related to the Surface Area of a Cuboid - Quiz

    • Cube

    • Cube - Quiz

    • Lateral Surface Area of a Cuboid

    • Lateral Surface Area of a Cuboid - Quiz

    • Surface Area of a Cylinder

    • Surface Area of a Cylinder - Quiz

    • Total Surface Area of Right Circular Cylinder

    • Total Surface Area of Right Circular Cylinder - Quiz

    • Volume

    • Volume - Quiz

    • More Examples on Cylinder

    • More Examples on Cylinder - Quiz

  • 18

    18) Playing with Numbers

    • Generalized Form of Number

    • Generalized Form of Number - Quiz

    • Divisibility Rule by 11

    • Divisibility Rule by 11 - Quiz

    • Divisibility Rules

    • Divisibility Rules - Quiz

    • Divisibility Rule of 4

    • Divisibility Rule of 4 - Quiz

    • Divisibility Rule of 6

    • Divisibility Rule of 6 - Quiz

    • Divisibility Rule of 9

    • Divisibility Rule of 9 - Quiz

    • Finding Digits

    • Finding Digits - Quiz