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Jossey-Bass Teacher - Math Wise Phần 8

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Học sinh sẽ xem xét lại khái niệm hình học và áp dụng các kỹ năng toán học, bao gồm cả tư duy logic, và tính toán với một máy tính, một tình huống giải quyết vấn đề hàng ngày. | Chapter 77 A Postal Problem Grades 4-8 13 Total group activity 3 Cooperative activity 3 Independent activity 3 Concrete manipulative activity 3 Visual pictorial activity 3 Abstract procedure Why Do It Students will review concepts from geometry and apply mathematical skills including logical thinking and computation with a calculator to an everyday problem-solving situation. You Will Need This activity requires pencils paper and a calculator recommended but not required . Also if some of the boxes are to be constructed large pieces of cardboard or tagboard scissors and tape will be required. How To Do It 1. Share the following U.S. Post Office shipping problem with the students and ask how they would attempt to solve it U.S. Post Office regulations note that packages to be shipped must measure a maximum of 108 inches in length plus girth. What size rectangular box with a square end will allow you to send the greatest volume of goods 297 2. After the students have shared various ideas they should diagram or physically construct with tagboard and tape one or two of the boxes they proposed and determine their volumes. When students are calculating the volumes be certain that they understand how to relate the Length Girth measurements to the formula Volume Length X Width X Height volume of a rectangular solid . It may help to refer to the Example in order to do this. Example Three boxes of different dimensions but each totaling 108 inches in length plus girth are shown on page 299. The width and height measurements have in each case been derived from the initial girths at the square ends of the boxes . The computed volumes for each are different and students may find a calculator very helpful in finding these. Have students determine whether the square-ended box shown will yield the greatest volume or whether another will be better. Hint The best arrangement is two cubes piled one on top of the other. 298 Investigations and Problem Solving Box Dimensions Length X Width