Mathematics Learning Platform

Master Math
From First Principles

Explore Algebra, Geometry, and Trigonometry through clear diagrams, clean formulas, and structured lessons designed to build real understanding.

Explore Topics Access Portal →
Algebra → Geometry → Trigonometry →
Curriculum
Three Core Topics

From solving equations to measuring angles, each topic builds on the last to give you a complete mathematical foundation.

x²
Algebra
Variables & Equations
Learn to solve linear and quadratic equations, work with expressions, and understand functions and their graphs.
ax² + bx + c = 0 y = mx + b f(x) = xⁿ
Geometry
Shapes & Space
Explore properties of triangles, circles, polygons and solids. Master area, perimeter, volume and angle relationships.
A = πr² a² + b² = c² V = ⁴⁄₃πr³
Trigonometry
Angles & Waves
Understand sine, cosine and tangent. Apply trig ratios to right triangles and explore periodic functions and identities.
sin²θ + cos²θ = 1 tan θ = sin/cos SOH CAH TOA
Visual Reference
Key Diagrams

Visual representations of the most important concepts across all three topics.

Unit Circle
(cos θ, sin θ) θ 1 x y I II III IV
Quadratic Function y = ax² + bx + c
vertex x₁ x₂ x y y = ax² + bx + c
Right Triangle — Pythagorean Theorem
b (base) a c (hyp) θ a² + b² = c² sin θ = a/c | cos θ = b/c | tan θ = a/b
Sine & Cosine Waves
1 -1 T = 2π sin(x) cos(x)
Circle — Key Measurements
d = 2r r arc A = πr² C = 2πr Sector area = ½r²θ
Linear Function y = mx + b
run rise b (y-int) m = rise/run x y
Quick Reference
Essential Formulas

The most important formulas across all three topics, ready to reference at a glance.

Algebra
Quadratic Formula
x = (−b ± √(b²−4ac)) / 2a
Solves any quadratic equation ax² + bx + c = 0
Slope-Intercept Form
y = mx + b
m = slope, b = y-intercept of a line
Exponent Rules
aˣ · aʸ = aˣ⁺ʸ  ·  (aˣ)ʸ = aˣʸ
Product and power rules for exponents
Difference of Squares
a² − b² = (a+b)(a−b)
Factoring shortcut for squared terms
Geometry
Pythagorean Theorem
a² + b² = c²
Relates the three sides of any right triangle
Circle Area & Circumference
A = πr²  ·  C = 2πr
r = radius, d = diameter = 2r
Triangle Area
A = ½ · b · h
b = base, h = perpendicular height
Sphere Volume
V = ⁴⁄₃ · π · r³
Volume of a sphere with radius r
Trigonometry
Pythagorean Identity
sin²θ + cos²θ = 1
Fundamental trig identity — always true
SOH CAH TOA
sin = opp/hyp · cos = adj/hyp
tan = opp/adj — right triangle ratios
Law of Cosines
c² = a² + b² − 2ab·cosC
Generalizes Pythagorean theorem to any triangle
Double Angle
sin2θ = 2·sinθ·cosθ
cos2θ = cos²θ − sin²θ