Comprehensive Learning Tool for 9th & 10th Grade Students | Master Algebra, Geometry, Trigonometry & Calculus

Interactive Learning
Curriculum Aligned
Visual Explanations
Problem Solving

Algebra Tools

Quadratic Equation Solver

Solve quadratic equations of the form ax² + bx + c = 0

Solution:

Enter values and click solve

Linear Equation Plotter

Graph linear equations in the form y = mx + c

Polynomial Expansion

Expand expressions like (a + b)², (a + b)³, etc.

Expansion:

a² + 2ab + b²

Geometry Tools

Pythagorean Theorem

Calculate the missing side of a right triangle

Result:

Hypotenuse c = 5.00

Area Calculator

Calculate area of various geometric shapes

Area:

7.50 square units

Volume Calculator

Calculate volume of 3D shapes

Volume:

125.00 cubic units

Trigonometry Tools

Trigonometry Calculator

Calculate sin, cos, tan and their inverses

Result:

sin(45°) = 0.7071

Right Triangle Solver

Solve for missing sides or angles in a right triangle

Solution:

Hypotenuse: 5.00
Angles: 36.87°, 53.13°, 90°

Unit Circle Explorer

Visualize trigonometric functions on the unit circle

Calculus Basics

Derivative Calculator

Find the derivative of a function

Result:

f'(x) = 2x

Slope at a Point

Find the slope of a function at a specific point

Result:

Slope at x = 3 is 6

Integral Calculator

Find the integral of a function

Result:

∫2x dx = x² + C

Essential Math Formulas

Algebra Formulas

(a + b)² = a² + 2ab + b²
(a - b)² = a² - 2ab + b²
a² - b² = (a + b)(a - b)
Quadratic Formula: x = [-b ± √(b² - 4ac)] / 2a

Geometry Formulas

Pythagoras: c² = a² + b²
Circle Area: A = πr²
Circle Circumference: C = 2πr
Triangle Area: A = ½ × base × height

Trigonometry Formulas

sin²θ + cos²θ = 1
tanθ = sinθ / cosθ
sin(A+B) = sinA cosB + cosA sinB
cos(A+B) = cosA cosB - sinA sinB

Calculus Formulas

d/dx (xⁿ) = nxⁿ⁻¹
∫ xⁿ dx = (xⁿ⁺¹)/(n+1) + C, n ≠ -1
d/dx (sin x) = cos x
d/dx (cos x) = -sin x