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Classroom questions worth exploring.
Student Curiosities
These interactive explorations grew out of questions students asked in class. Created by your teacher to investigate those questions further, they connect visual models, mathematical ideas, and hands-on experiments. Follow a walkthrough, change something, and see what you can explain.
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Number patternsAlgebra
The Nine Pattern
Why does this number trick lead to nine?
Start with a two-digit number and follow a surprising pattern through blocks, graphs, and algebra. Then investigate larger numbers and other number bases.
How much can a few clues tell us about a function?
Watch intercepts, asymptotes, and other conditions narrow a family of possible graphs. Build an argument for a maximum, then explore bounds and values that can be approached but never reached.
How can we tell whether these pieces will fill a cube?
Connect a three-dimensional puzzle to coordinates, rotations, symmetry, and logical deductions. Experiment with a demonstration set or enter your own pieces.