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Relating Scale Drawings to Ratios and Rates

Relating Scale Drawings to Ratios and Rates. What are possible uses for enlarged drawings/pictures? What are the possible purposes of reduced drawings/pictures? . Vocabulary.

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Relating Scale Drawings to Ratios and Rates

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  1. Relating Scale Drawings to Ratios and Rates

  2. What are possible uses for enlarged drawings/pictures? • What are the possible purposes of reduced drawings/pictures?

  3. Vocabulary • Scale Drawing: A drawing in which all lengths between points or figures in the drawing are reduced or enlarged proportional to the lengths in the actual picture. A constant of proportionality exists between corresponding lengths of the two images. • Reduction: The lengths in the scale drawing are smaller than those in the actual object or picture. • Enlargement/Magnification: The lengths in the scale drawing are larger than those in the actual object or picture. • One-to-one Correspondence: Each point in one figure corresponds to one and only one point in the second figure

  4. Is the second image a reduction or enlargement of the first image? How do you know? • What do you notice about the information on the table? • Does a constant of proportionality exist? How do you know? • What is the constant of proportionality and why is it important in scale drawings?

  5. What is a scale drawing? • What is an enlargement? A reduction? • What’s the importance of matching points and figures from one picture/drawing to the next? • How do scale drawings related to rates and ratios?

  6. a. If the original lengths are multiplied by 2, what are the new coordinates? c. Is the new picture a reduction or an enlargement? d. What is the constant of proportionality? e. If the original lengths are multiplied by 1/3 what are the new coordinates? f. g. Is the new picture a reduction or an enlargement? h. What is the constant of proportionality?

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