Stacking Makes Area
by Anonymous · ⭐ 0 · 🍴 0
Starting with speed × time as the area of a rectangle, build tiny rectangles under a curve to approach the true area—and check by hand why areas below the axis count with a minus sign.
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About this app
Stack It Up, Get the Area is an interactive high-school calculus app that introduces definite integrals through graphical area. Explore how speed × time becomes a rectangle’s area, approximate the area under y = x²/4 with left and right Riemann sums, and see why regions below the x-axis contribute negatively.
Use cases
- High-school students learning definite integrals
- Teachers demonstrating Riemann sums visually
- Learners connecting distance formulas with graph area
- Practice with signed area and limits
Features
- Adjust speed v and time t to match target distances
- Increase the number of rectangles and compare the sum with the true area
- Switch between left and right endpoint sums
- Explore signed area under y = x − 2 by changing endpoint T
- Guided missions with reset and next controls