Students will:

The class will need the following:


Have students determine the relationship between the area of the drawing and the area of the actual classroom. They should notice that the ratio of these areas is the square of the scale they chose. For example, if a scale of 0.5 inch = 1 foot was used, the ratio of areas of the drawing to the actual room will be (0.5 inches)2 = (1 foot)2 or 0.25 square inches = 1 square foot. Students can also conduct experiments to determine how volume changes with scale. 

You can evaluate students' work using the following threepoint rubric:

Distance Brenda Walpole. Gareth Stevens, 1995. Learn how standardized measurements developed, as early civilizations used parts of the body for measurements like cubits and fathoms, which gradually became inches and feet. Ways of estimating distances and heights are included along with lots of easy measuring experiments you can do with just a few simple objects. A timeline of important measurement "events" shows the progress of standardization to the present. The Story of Weights and Measures Anita Ganeri. Oxford University Press, 1996. An excellent introduction to the concepts of weight and measurement is encompassed in this slim book. Learn about the history of the development of instruments for accurate weighing and measuring. A short timeline and glossary are included, as well as illustrations and short descriptions 
equivalent Definition: Being the same or effectively the same; equal. Context: The length of the front wall isequivalentto the length of the back wall in our rectangular classroom. perimeter Definition: The boundary, or border, of a closed, twodimensional figure or area. Context: We built a fence around theperimeterof our yard to keep the dog from running away. ratio Definition: The relation of one part to another or to a whole. Context: We have twice as many girls as boys in our class. Therefore theratioof girls to boys is 2 to 1, or 2: 1. scale Definition: The ratio of the size of a model or other representation, such as a map, to the actual size of the object represented. Context: By looking at thescale, we could tell that 1 inch represented 1 mile on our map of New York. symmetry Definition: A state in which parts on opposite sides of a plane, line, or point display the same size, form, or arrangement. Context: The butterfly's wings were exactly alike, displaying perfectsymmetry. 
This lesson plan may be used to address the academic standards listed below. These standards are drawn from Content Knowledge: A Compendium of Standards and Benchmarks for K12 Education: 2nd Edition and have been provided courtesy of theMidcontinent Research for Education and Learningin Aurora, Colorado. Grade level: 68 Subject area: Mathematics Standard: Understands and applies basic and advanced properties of the concepts of measurement. Benchmarks: Solves problems involving units of measurement and converts answers to a larger or smaller unit within the same system (i.e., standard or metric). Grade level: 68 Subject area: Mathematics Standard: Understands and applies basic and advanced properties of the concepts of measurement. Benchmarks: Understands formulas for finding measures (e.g., area, volume, surface area) 
Jessi Hempel, communications team member, Bay Area School Reform Collaborative, San Francisco, California; former fourthgrade teacher in New York City Public School 92. 
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