List of lessons for Freshman
ALGEBRA > POLYNOMIALS
Polynomial, Its Degree, And Types
Learn the definition of constant and zero polynomials. What are different types of polynomial based on terms & degree? Practice with examples & worksheets.
Table of contents
- Variable
- Constant
- Algebraic Expression
- Definition of polynomial
- Degree of polynomial
- What are the types?
- Constant Polynomial
- Zero Polynomial
Rupinder Kaur
Jul 13, 2026
ALGEBRA > EQUATIONS
Roots And The Discriminant Of A Quadratic Equation
What is the standard form & discriminant of a quadratic equation? How to find roots using factorization, completing the square & quadratic formula methods.
Table of contents
- Quadratic equation
- Standard form
- Roots
-
Methods to solve
- Factorization method
- Completing the square method
- Quadratic formula method
Rupinder Kaur
Jul 14, 2026
TRIGONOMETRY > BASICS
Trigonometric Ratios With Formulas And Calculations
Learn basics and calculations of trigonometric ratios of acute angles in a right-angled triangle. Easy method to remember t-ratios in trigonometry.
Table of contents
- Right angled triangle
- Trigonometric ratios
- Calculations of trigonometric ratios
- Multiplication of trigonometric ratios
- Memorize trigonometric ratios
Desh Bandhu
Jul 26, 2026
GEOMETRY > GEOMETRY THEOREMS
Pythagoras Theorem's Statement, History And Real Life Applications
What is the statement of Pythagoras theorem? How is it used to solve the shortest distance & ladder length problems? Know about its history & applications.
Table of contents
- History
- Statement
- Real life applications
- Ladder length problem
- The shortest distance problem
Desh Bandhu
Aug 18, 2026
2D Shapes
ALGEBRA > POLYNOMIALS
Sum And Product Of Zeros Of Quadratic, Cubic & Biquadratic Polynomials
Learn the formulas to find the sum & products of zeros of quadratic, cubic, & biquadratic polynomials. Practice by solving questions from free worksheets.
Table of contents
- Sum and product of zeros of quadratic
- Sum and product of zeros of cubic
- Sum and product of zeros of biquadratic
Rupinder Kaur
Aug 18, 2026
STATISTICS & PROBABILITY > DATA HANDLING
Data Handling, Presentation and Interpretation
Learn basics of data handling. How to present & interpret data on charts. Learn the steps to draw pictographs, bar graphs, pie charts and line graphs.
Table of contents
- Presentation of data
- Pictograph
- Bar graph (Column graph)
- Double bar graph
- Histogram
- Pie Graph or Pie Chart
- Line graph
Rupinder Kaur
Aug 18, 2026
ALGEBRA > EXPONENTS
Laws of Exponents And The Rule To Write The Standard Index Form
What are the common rules of exponents? Learn & practice how to convert short & long numbers to the scientific notations using examples & free worksheets.
Table of contents
- Exponents
-
Laws of exponents
- When same bases are multiplied
- When same bases are divided
- When exponent is 0
- Power of a power
- Product of bases with same exponents
- Division of bases with same exponents
- What is the standard index form?
-
How to write standard index form?
- If number less than 1
- If number lies from 1 to 10
- If number greater than 10
Rupinder Kaur
Aug 18, 2026
ALGEBRA > EQUATIONS
Linear Equation And The Three Methods To Find The Root
What is a linear equation and how to simplify? Learn and practice the trial, systematic, and transportation methods with examples and free worksheets.
Table of contents
- Equation
- Linear equation
-
Methods to solve linear equation
- Trail and error method
- Systematic method
- Transposition method
Rupinder Kaur
Aug 18, 2026
ARITHMETIC > INTEREST
Simple And Compound Interest With Real Life Examples
What are the differences between simple and compound interest? Learn how to calculate the amount and rate of interest on the principal with examples.
Table of contents
- Real life examples of interest
- Principal
- Interest
- Amount
- Simple interest
- Compound interest
- Compound and simple interest difference
Rupinder Kaur
Aug 18, 2026
ARITHMETIC > NUMBER PATTERN
Pascal's Triangle Construction With Properties Of Rows & Diagonals
Learn steps to build a Pascal's Triangle? What are the properties of the numbers on its rows and diagonals? Learn in a simple and easy way with diagrams.
Table of contents
- How to construct Pascal's triangle
- Number pattern on the diagonals
- Properties of sums of numbers on rows
Rupinder Kaur
Aug 18, 2026
Numbers
THINGS TO REMEMBER > FORMULAS
Download And Print List Of Algebraic Identities
Download a list of important algebraic identities in Algebra. Print PDF sheets of helpful identities and ready to remember lists for exams.
Table of contents
- Important Algebraic Identities
Desh Bandhu
Aug 18, 2026
THINGS TO REMEMBER > FORMULAS
Download And Print Area And Perimeter Formulas Of 2-Dimensional Shapes
Download and print PDF sheets of list of formulas of the area & perimeter of 2-dimensional shapes in geometry. A Helpful summary to keep handy for exams.
Table of contents
- Important area formulas of 2D shapes
- Perimeter formulas of 2D shapes
Rupinder Kaur
Aug 18, 2026
2D Shapes Area Perimeter
THINGS TO REMEMBER > FORMULAS
Download And Print List Of Surface Area And Volume Formulas
Download formulas of surface areas and volumes of 3-dimensional shapes of geometry. Print PDF sheets of helpful and ready to remember list for exams.
Table of contents
- Important surface area formulas
- Important total surface area formulae
- Important volume formulas
Rupinder Kaur
Aug 18, 2026
Area Perimeter
ALGEBRA > POLYNOMIALS
Plotting Of Zeros Of Linear, Quadratic And Cubic Polynomials
Understand the geometrical meaning of zeros of linear, quadratic, & cubic polynomials. Learn the definition and steps to sketch & plot zeros on the graph.
Table of contents
- What are zeros of a polynomial?
- Definition
- Geometrical meaning
- Plot the zeros of linear polynomial
- Plot the zeros of quadratic polynomial
- Plot the zeros of cubic polynomial
- Plot the zeros of biquadratic polynomial
Rupinder Kaur
Aug 18, 2026
Coordinate Geometry
ARITHMETIC > NUMBER SYSTEM
Types of Numbers Used in Math With Examples
Get the list of types of numbers in arithmetic with their definitions and simple examples to understand. Practice & solve questions using free worksheets.
Table of contents
- Natural number
- Whole number
- Integers
- Rational numbers
- Irrational numbers
- Real number
- Imaginary number
- Complex number
- More types of numbers
- Additive inverse of a number
Rupinder Kaur
Aug 18, 2026
Numbers Rounding off
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