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Sprocket Mesh

Hang the common gear. Four number plates swing over empty hubs. Drag the sprocket whose size is the greatest common factor onto the right hub. Three benches win.

MathNumber Sense6th–7th

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How to Play Sprocket Mesh

  1. 1

    Read the Pair

    Each hanging plate shows two numbers. Find the greatest number that divides both.

  2. 2

    Drag the Sprocket

    Grab a brass sprocket from the bench. Drop it on the empty hub under the pair it matches.

3

Watch It Mesh

A correct gear locks and spins. A wrong gear bounces back and you lose a life.

  • 4

    Clear Three Benches

    Fill every hub to roll a new bench. Three benches win. Three misses end the run.

  • Key Features

    • A Bike Loft, Not a Quiz

      Number pairs hang from a steel rail. Brass sprockets sit on the bench. You drag a gear onto a hub. A fit spins. A miss recoils.

    • Greatest Means Greatest

      Each pair shares more than one factor. The sprocket that seats is the greatest common factor, not a smaller one that also divides both.

    • Three Benches

      Clear all four hubs and a new bench rolls in. Easy uses small pairs. Hard hides a larger GCF behind a tempting smaller factor.

    • Score You Can Chase

      Each mesh scores 100 plus a streak bonus. Three benches win. Three wrong gears end the run.

    What is Sprocket Mesh?

    Sprocket Mesh is a sixth-grade greatest-common-factor game set in a night bike loft. Players drag sprockets onto hubs so each hanging number pair gets the gear that is their GCF. The skill is naming the greatest shared factor, not any shared factor.

    Why Play Sprocket Mesh?

    • 1

      You Move the Gear

      There is no answer row of buttons. The sprocket has weight. Dropping it changes the bench.

    • 2

      Wrong Factors Feel Wrong

      A smaller common factor will not seat. The hub rejects it, so the idea of greatest stays in the hands.

    • 3

      A Steady Stage

      The rail, hubs, and bench keep the same height. Feedback is overlays and spin, not a layout jump.

    • 4

      Touch First

      Each sprocket is a big drag target. Hubs light up when a gear is over them.

    Frequently Asked Questions

    What do I drag?

    Drag a sprocket from the bench onto the hub under the number pair whose greatest common factor matches that sprocket.

    What if two numbers share more than one factor?

    Use the greatest one. A smaller common factor will not lock on the hub.

    What do Easy, Medium, and Hard change?

    The size of the pairs and how well a smaller factor can hide the true GCF.

    How do I win?

    Mesh every pair on three benches. Three wrong drops end the run.

    What grade is this for?

    Sixth and seventh grade (about ages 11–13), when students find the greatest common factor of two whole numbers.

    Sprocket Mesh - Hang the common gear. Four number plates swing over empty hubs. Drag the sprocke