Contexts for Learning Mathematics: The Box Factory: Extending Multiplication with the Array (Gr. 3-5)

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The focus of The Box Factory is the deepening and extending of students' understanding of multiplication, specifically the associative and commutative properties and their use with computation, systematic factoring, and the extension of students' understanding of two-dimensional rectangular arrays to three-dimensional arrays within rectangular prisms. The concepts are explored against the context of a box factory where students design boxes to meet specific size and space requirements.