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Additional resources for Big Ideas for Growing Mathematicians: Exploring Elementary Math with 20 Ready-to-Go Activities
A picture of a cube on your paper (like the one shown here) by pretending the lines that go in the third dimension are 90 degrees. You have to draw them in perspective because you don’t really have the third dimension to work in. w Now create a square by placing one straw right next to another and moving one of them in another direction, as shown: e Finish the square by adding the other two top and bottom edges. This may seem a silly way to think of making a square right now, but it will help your thinking when you get to four dimensions.
Tape may help secure the last straws. Students might be challenged to count the number of vertices (16) and edges (32) in the hypercube. They could also check out some Internet sites using the keywords spinning hypercubes to see animations. Some are excellent! Assessment Students might also be challenged to write a story about what a two-dimensional person might see in our three-dimensional world. For example, if you could only see the floor of your classroom, what might you see happening? Students can discuss their increased understanding of the idea of dimension.
Population growth is another important example of exponential growth. You might ask children to do some research on the Web on the population of the planet over the last 100 years and then graph this data. Have them discuss what this graph might be telling us. 39 The Rice Problem Activity Sheet The queen of Mathvia has made an unusual request of one of her subjects whom she wishes to punish for bad behavior. The subject is to deliver rice to the palace each day for the month of January according to the following pattern.