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This Math Model activity is a study in base ten, arrays, multiplication/repeated addition, and problem solving. The zip file contains: lesson plan, video (.m4v), PDF file for use in presentation software, and image "answer."
Students are shown a video of pennies filling a small square on a rug with pennies. They develop their own questions; one of which will undoubtedly be, "How many pennies would fill the whole rug?" The lesson plan provides a process to investigate that question.
Inspired by "Three-Act Math Tasks" and Project/Problem/Inquiry Based Learning.
* I used this lesson with an advanced first grade math class.