Illuminations: Commutative Rectangle

Students typically learn about the concepts of identity, inverse, commutativity, and associativity by exploring the four basic operations (+, –, ×, and ÷) with integers.

In this lesson, students investigate these concepts using a geometric model. Moves are performed with a rectangle, and the results of an operation that combines two moves are analyzed. Students determine if the operation is commutative or associative; if an identity element exists; or if there are inverses for any of the moves.


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Algebra & Pre-Algebra
Middle School, Educator

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Illuminations (National Council of Teachers of Mathematics)

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