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This resource introduces students to the aspects a builder must think about before constructing a building. Students will study the cabin blueprint of Henry David Thoreau and then will find the surface area of the walls and how much paint would be needed. Then, students will find the volume of the cabin to determine the home heating needs. Thirdly, students will study the blueprint and will create a 1/10 scale of it on graph paper and then will use art supplies to create a model of the cabin. Lastly, students will design and create models of furniture to scale for the cabin.

Summary

Subject keyword(s)Abilities for a Technological World, Apply the design process, Area, Construction, Design products, Engineering mathematics, Human body, Length, Mathematics, Measurement, Nature of Technology, Number and operations, Processes, Produce products, Product utilization, Real world applications, Relationships among technologies, Scale, Surface area, Technological products and systems, The Designed World, Volume
Grade levelElementary School, Middle School, Informal Education
Intended audienceLearner
Resource typeAudio/Visual, Instructional Material
Resource formatimage, image/jpeg, text, text/html
RightsCopyright 1996-2002 Linda C Joseph and Linda D Resch. All Rights Reserved
Copyright 2002 Linda C. Joseph & Linda D. Resch

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Math Comm CoreMSP2: Math and Science Pathways

Content contained within the resource

Measuring Henry's Cabin Click on image to view larger blueprint Activity  1. Constructing a house requires mathematics skills. Study the blueprint of the house and determine the surface area of the walls. (minus doors and windows) Why might a builder of a house need to know the surface area of the walls? Guide: To find the surface area of the inside of Henry’s cabin, multiply the length times the width of each wall and add the area of each wall together to get the total surface area. The formula for finding the surface area is: 2*(length*width+length*height+width*height) Henry was a frugal gentleman and he would not want to purchase more than he needed of anything. Knowing the surface area of walls will assist in knowing how much paint, plaster, etc. is required in completing the inside of the house. Since Henry shingled the outside of his house he would only want to purchase what he needed. Finding the surface area would assist with this goal. Activity  2. Now determine the volume of he house. Why would a builder of a house today need to know the volume of house? Do you think that Henry took these considerations in mind when deciding the plan for his house? What quote of Henry David Thoreau supports your response? Guide: To determine the volume of Henry’s house follow the formula: V=length*width*height Knowing the volume of a house will assist in realizing the heating needs of the home, (how many BTU’s , etc.) Henry heated his home with a small wood burning stove that was constructed after he moved into his cabin. Activity  3. Create the cabin using 1/10 of the scale. Be sure that you keep everything proportional. Henry’s cabin had how many square feet? How large were his windows? Guide: Using graph paper, take 1/10 of the measurements on the blueprint and create your own small Walden cabin. Activity  4. Now create the furniture to the 1/10 scale. Create the furniture and arrange the furniture the way that Henry arranged his in the cabin. Guide: Use paper, card stock, or balsa wood to create furniture to fit into Henry’s cabin. © 2002 Linda C. Joseph & Linda D. Resch All Rights Reserved Curriculum Ideas Postcards Research Tools Treasure Hunts Web Links Web Projects Web Picks About Cyberbee