Pascal's Triangle vs Beautiful Trigonometry

Explore the mathematical mysteries and marvels of Pascal's Triangle with this highly interactive iPad app. Choose a color and mark a pattern on the chart to discover a mathematical relationship. Tap the Pascal icon and a note pops up with an interesting fact about Pascal's Triangle. Tap the sigma icon to get statistics about the patterns on the chart. Tap the question mark to start a quiz and review the concepts presented. Because the Pascal's Triangle app is designed as an open-ended tool that teachers can use it as a presentation tool to lead students into fascinating mathematical discoveries. Topics include: Fibonacci Numbers, Triangular Numbers, Square Numbers, Palindromes, and Powers. Students will enjoy using this interactive learning tool. The Pascal's Triangle app creates a colorful learningenvironment with mild sound effects and provides motivation for exploring math concepts and encourages discoveries.

Trigonometry doesn’t have to be confusing. When my daughter first met sine and cosine in school, she asked, “Why do we even need this?” We tried formulas, practice sheets, even flashcards — but it still felt like memorizing rules without meaning. So I built a way to make it visible. With sliders, color, and motion, she could see how angles and sides connect — how triangles breathe, how waves emerge, and how every formula has a shape behind it. That small experiment became Beautiful Trigonometry — an interactive app that turns math from abstract to intuitive. Instead of memorising, explore. Move a slider, rotate a triangle, or trace the unit circle — and suddenly, sine, cosine, and tangent make sense. You’ll discover how to: - Understand how angles and sides connect - See how triangles and graphs reflect each other - Build intuition with the unit circle - Learn faster using animations and instant feedback Free to explore: - Acute Angle Trigonometry: sine, cosine, and tangent made visual - Full Circle Functions: understand sine and cosine across 360° - Triangle Area: learn the sine area formula interactively - Law of Cosines: see it work step by step Upgrade to PRO and unlock: - Graphs of all trig functions: sine, cosine, tangent, cotangent, secant, cosecant - Trig Identities & Formulas: a complete reference Perfect for - Students who want trigonometry to finally click - Teachers and tutors explaining visually - Anyone who loves learning through discovery You won’t just study trigonometry — you’ll feel it click. Part of the Beautiful Math series. Learn visually. Understand deeply. Move ahead.