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Combining Transformations

Does changing the order of transformations always/sometimes/never produce the same transformation?

A Chance to Win?

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Teachers may choose not to use the interactivity, and instead try out the activity in the classroom with actual cards, challenging students to find a winning combination.

This may be a good problem to introduce when students are learning about percentage increases and decreases.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.