Algebra
Master equations, inequalities, and functions. The foundation of modern mathematics.
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Explore the beauty of numbers, shapes, and patterns. Whether you're a beginner or looking to advance, we have resources for you.
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Geometry
Discover shapes, sizes, and the properties of space. Visual learning at its best.
Learn GeometryCalculus
Understand change and motion. Limits, derivatives, and integrals explained simply.
Learn CalculusStatistics
Analyze data, understand trends, and make predictions. Essential for data science.
Learn StatisticsFeatured Lesson: The Pythagorean Theorem
In a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
a² + b² = c²
Example: If one side is 3 and the other is 4, what is the hypotenuse?
- a = 3, b = 4
- 3² + 4² = c²
- 9 + 16 = 25
- c = √25 = 5
a
b
c
Quick Formulas
| Shape/Concept | Formula | Notes |
|---|---|---|
| Area of Circle | A = πr² | r is the radius |
| Area of Triangle | A = ½bh | b is base, h is height |
| Quadratic Formula | x = (-b ± √(b² - 4ac)) / 2a | For ax² + bx + c = 0 |
| Volume of Sphere | V = 4/3πr³ | r is the radius |
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Key Terms Glossary
Variable
A symbol, usually a letter (like x or y), used to represent an unknown number in an expression or equation.
Integer
A whole number (not a fractional number) that can be positive, negative, or zero.
Polynomial
An expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.
Derivative
A measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity.
Probability
The branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Study Tips for Success
Practice Daily
Math is a skill like playing an instrument. Regular practice helps reinforce concepts and improve speed.
Understand, Don't Memorize
Focus on understanding the 'why' behind formulas. This makes it easier to apply them to new problems.
Show Your Work
Writing down steps helps you track your thought process and makes it easier to find mistakes.
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