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Marbleslides Rationals Jun 2026

Frequently used as a warm-up or a primary lesson tool for units on Polynomial and Rational Functions .

In the "Rationals" edition, the marbles don't just fall straight down. They follow the curve of the function. If you write $y = \frac1x-2$, the marble will race down the right side of the vertical asymptote at $x=2$, then jump (infinitely) to the left side.

In early levels, students manipulate sliders to line up the graph with the stars. It teaches the concept of rigid translation intuitively. A student might say, "I need to move the whole graph up two units," and promptly increase $k$ by 2. They are performing translations before they have even memorized the rules. marbleslides rationals

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This activity transforms algebraic abstraction into a tangible, game-like experience. It forces players to think not just about what a rational function looks like, but how to control its asymptotes, intercepts, and branches to guide a rolling marble to its goal. Frequently used as a warm-up or a primary

It is the moment where the friendly, predictable world of polynomials collides with the wild, discontinuous nature of rational functions. For students, it is a playground where math becomes a puzzle game; for teachers, it is a masterclass in transformation, domain, and the elusive asymptote.

To succeed, players must answer three questions mentally: If you write $y = \frac1x-2$, the marble

is a highly-rated, gamified math activity from Desmos Classroom designed for Algebra II or Precalculus students. It focuses on transforming rational functions by manipulating equations to guide marbles through a series of stars. Key Features & Learning Goals