Marbleslides Rationals Guide

In a worksheet, a wrong answer is a red pen mark. In Marbleslides, a wrong answer is a marble rolling off the screen or missing a star. The feedback is instant, neutral, and visual. Students self-correct in real-time. They see the consequence of $h$ being $+2$ instead of $-2$ immediately, and they fix it without needing teacher intervention.

: Students modify variables in rational equations (e.g., ) to see immediate visual changes in the graph. marbleslides rationals

For the uninitiated, Marbleslides is a series of activities where students type equations into a graphing calculator. As soon as they hit "enter," a set of stars (or in this case, marbles) drops from the top of the screen. The goal? Adjust the equation so that the marbles’ trajectory—determined by the graph—collects all the stars. In a worksheet, a wrong answer is a red pen mark

By the end of the activity, students haven't just memorized the rules for shifting asymptotes. They have felt the curve. They understand that rational functions are about relationships—how close you can get to a limit without ever touching it. They have learned that sometimes, the most interesting part of a graph is the part that isn't there. And in the world of Desmos, that empty space is where the stars are found. Students self-correct in real-time