- Set Definition
- Problem-Introduction to Set
- Presentation of a Set
- Set Builder Notation
- Problem-Describing a Set

- Union of Two Sets
- Problem-Union of Two Sets
- Intersection of Set
- Problem-Intersection of Two Sets
- Problem-Difference of Two Sets
- Problem-Union of Three Sets
- Problem-Intersection of Three Sets
- Disjoint Set
- Overlapping Sets
- Problem-Disjoint and Overlapping Sets
- Complement of a Set
- Universal Set
- Problem-Universal Set and Complement of a Set
- Commutative Property of Union of Sets
- Problem-Commutative Property of Union of Sets
- Associative Property of Union of Sets
- Problem-Associative Property of Union of Sets
- Identity Property with Respect to Union
- Commutativity of Intersection
- Problem-Commutative Property of Intersection of Sets
- Associative Property of Intersection of Sets
- Problem-Associative Property of Intersection of Sets
- Identity Property with Respect to Intersection
- Prob-Identity Property with Respect to Intersection
- Difference of Sets
- Prob-Properties Involving Difference of Sets
- Properties Involving Complement of a Set
- Prob-Properties Involving Complement of a Set

- Introduction to Venn Diagram
- Problem-Introduction to Venn Diagram
- Problem-Representing Sets Through Venn Diagrams
- Performing Union of Sets Through Venn Diagram
- Problem-Performing Union of Sets Through Venn Diagram
- Performing Intersection of Sets Through Venn Diagram
- Problem-Performing Intersection of Sets Through Venn Diagram
- Difference of Sets for Overlapping Sets
- Problem-Difference of Two Sets A and B Through Venn Diagram
- Complement of a Set Through Venn Diagram
- Problem-Complement of a Set Through Venn Diagram

- Introduction to Rational Numbers
- Problem-Concept of Rational Numbers
- Representation of Rational Number on a Number Line
- Problem-Representation of Rational Number on a Number Line

- Addition of Two or More Rational Numbers
- Problem-Addition of Two or More Rational Numbers
- Subtraction of Two or More Rational Numbers
- Problem-Subtraction of Two or More Rational Numbers
- Multiplication and Dividing Rational Numbers
- Problem-Multiplication of Rational Numbers
- Division of Rational Numbers
- Problem-Division of Rational Numbers
- Finding Reciprocal of a Rational Number
- Problem-Finding Reciprocal of a Rational Number
- Commutative Law of rational numbers w.r.t addition
- Commutative Law of rational numbers w.r.t multiplication
- Problem-Commutative Property with Respect to Multiplication
- Associative Law
- Associative law of Subtraction and Division
- Distributive Property of Multiplication Over Addition
- Problem-Distributive Property of Multiplication Over Addition
- Distributive Property of Multiplication Over Subtraction
- Problem-Distributive Property of Multiplication Over Subtraction
- Comparison of Rational Numbers Having Same Denominator
- Comparison of Rational Numbers Having Different Denominator
- Problem-Comparison of Rational Numbers Having Different Denominator
- Ordering of Rational Numbers
- Problem-Arranging Rational Numbers in Order

- Percentages, Fractions and Decimals
- Conversion of Decimals to Rational Numbers
- Problem-Conversion of Decimals to Rational Numbers

- Terminating Decimals
- Problem-Terminating Decimals
- Non-terminating Decimals
- Problem-Non-terminating Decimals
- Expressing a Rational Number as a Decimal
- Problem-Expressing a Rational Number as a Decimal
- Rule to Check the Nature of a Given Rational Number
- Problem-Rule to Check the Nature of a Given Rational Number
- Introduction to Approximate Values
- Problem-Introduction to Approximate Values

- Product Law of Exponents of Rational Numbers
- Problem-Product Law of Exponents of Rational Numbers
- Quotient Law of Exponents of Rational Numbers
- Problem-Quotient Law of Exponents of Rational Numbers
- Power Law of Rational Numbers
- Problem-Power Law of Rational Numbers
- Zero and negative Indices
- Problem-Negative Exponent of Rational Numbers

- Squares and Squares Root
- Concept of Prefect Squares
- Test Whether a Number is a Perfect Square or Not
- Problem-Test Whether a Number is a Perfect Square or Not
- The Square of an Even Number is Even
- Problem-The Square of an Even Number is Even
- The Square of a Proper Fraction is Less than Itself
- The Square of a Decimal less than 1 is Less than Itself
- Problem-The Square of a Decimal less than 1 is Less than Itself
- Squares of Natural Numbers
- Introduction to Square Root of Positive Numbers
- Problem-Introduction to Square Root of Positive Numbers
- The Square Root of Numbers Which are Perfect Square

- Square Root of a Natural Number
- Problem-Finding Square Roots By Prime Factorization
- Finding Square Roots of Fractions
- Problem-Finding Square Roots of Fractions
- Finding Square Roots of Decimals
- More on Finding Square Roots of Decimals
- Problem-Finding Square Roots of Decimals
- Finding Square Roots By Division Method
- More on Finding Square Roots By Division Method
- Problem-Finding Square Roots By Division Method
- Find square roots of fractions by division method
- Finding Square Roots of Decimals
- More on Finding Square Roots of Decimals
- Problem-Finding Square Roots of Decimals By Division Method
- Solving Problem Involving Square Root-Problem-1
- Solving Problem Involving Square Root-Problem-2

- Concept of Ratio
- Problem-Concept of Ratio
- Concept of Continued Ratio
- Problem-Concept of Continued Ratio
- Direct Variations
- Problem-Introduction to Direct and Inverse Variation
- Introduction to Proportion
- Problem-Concept of Proportion
- Direct Proportion
- Inverse Proportion
- Problem-Types of Proportion
- Solving Word Problem by Using Unitary Method
- Solving Word Problem by Using Proportion Method
- Solving Problem Involving Direct Proportion
- Solving Problem Involving Inverse Proportion
- Problem-Solving Problem Involving Direct Proportion

- Rate
- Problem-Concept of Rate
- Use of Proportion in Time and Work
- Problem-Use of Proportion in Time and Work
- Solving by Using Proportion in Time and Work-Word Problems1
- Speed and Average Speed
- Relation Between Time and Distance

- Concept of Property Tax
- Problem-Concept of Property Tax
- Problem Related to Tax-p2
- Problem Related to Tax-p3
- Concept of Taxable Area
- Problem-Concept of Taxable Area

- concept of percent profit
- Problem- profit percentage
- Word Problem of Profit
- Problem-Word Problem of Profit
- Concept of Markup
- Problem-Concept of Markup
- Word Problem of Markup
- More on Word Problem of Markup

- Introduction to Algebra
- Problem-Introduction to Algebra
- Introducing Variable & Constant
- Problem-Concepts of Constant and Variables / Literals
- Power or Exponent or Indices of Literal Number
- Problem-Power or Exponent or Indices of Literal Number
- Algebraic Expressions & Algebraic Sentences
- Problem-Introduction to Algebraic Expressions
- Algebraic Terms
- Problem-Algebraic Terms
- Concept of Polynomial and its Degree
- Degree of a polynomial
- Problem-Concept of Polynomial and its Degree
- Coefficients of a Polynomial
- Polynomials in One, Two and More Variables
- Identification of a Monomial, Binomial and Trinomial
- Problem-Identification of a Monomial, Binomial and Trinomial

- Addition of Algebraic Expression
- Equality Property of Rational Expression
- Multiplication of Polynomials
- Multiplication of binomials with trinomials
- Problem-Multiplication of Polynomials-1
- Problem-Multiplication of Polynomials-2
- Vertical Multiplication of Polynomials
- Problem-Vertical Multiplication of Polynomials

- Introduction to Algebraic Identities
- Problem-Introduction to Algebraic Identities
- Product of Binomial with Same First Term
- Problem-Product of Binomial with Same First Term
- Product of Same Binomial
- More on Product of Same Binomial
- Problem-Product of Same Binomial
- Difference of Square of Two Terms
- Problem1-Difference of Square of Two Terms
- Problem2-Difference of Square of Two Terms

- Introduction to Factorization
- Problem-Factorization of Algebraic Expressions
- Factorization by Making Groups
- Problem-Factorization by Making Groups
- Application of Difference of Square of Two Terms
- Problem on Product of Binomial with Same First Term-p1
- Problem on Product of Binomial with Same First Term-p2

- Solution of a Linear Equations
- Problem-Solution of a Linear Equations
- Solving Linear Equation Involving Fractional Coefficients
- Problem-Solving Linear Equation Involving Fractional Coefficients
- Solving Fractional Linear Equations
- Problem-Solving Fractional Linear Equations
- Solving Linear Equation by Collecting Like Terms
- Solving Linear Equation by Using Distributive Law
- Solving Linear Equation by Clearing the Large Co-efficient
- Word Problem-1 of Linear Equation
- Word Problem-2 of Linear Equation

- Finding Unknown Angles Involving Adjacent Angles
- Finding Unknown Angles Involving complementary Angles
- Finding Unknown Angles Involving Supplementary Angles
- Finding Unknown Angles Involving Vertically Opposite Angles
- Finding Unknown Angle of a Triangle