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Multiplication Formulas & Area Model

by Anonymous · 1 · 🍴 0

Slice squares to visualize (a+b)²=a²+2ab+b² and (a+b)(a−b)=a²−b² through area, and play with fun algebra puzzles!

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About this app

This educational web application helps users visually grasp algebra through interactive area models. By dividing and manipulating squares, users can intuitively understand the algebraic formulas (a+b)2 = a2 + 2ab + b2 and (a+b)(a-b) = a2 - b2. The app also includes an interactive quiz mode where users can test their understanding of the formulas and track their correct answer streaks.

Use cases

  • Middle school students learning algebraic expansion and factorization
  • Math teachers seeking a visual aid to demonstrate the geometric proof of algebraic formulas
  • Parents looking for an interactive study tool to help children understand algebra intuitively

Features

  • Interactive perfect square area model representing (a+b)2 with adjustable a and b parameters
  • Visual sum and difference area model representing (a+b)(a-b) with step-by-step calculations
  • Dynamic SVGs that update in real-time as users change variables
  • Quiz challenge mode with three-choice questions and streak tracking to test your skills