Question

Class Activity 140 Reasoning with the Scale Factor and Internal Factor Methods CCSS CCSS SMPI, 7.6.1 1. Suppose that you have a postcard with an attractive picture on it and that you would like to scale up this picture and draw it onto paper that you can cut from a roll. The roll of paper is 20 inches wide, and you can cut the paper to virtually any length. If the postcard picture is 4 inches wide and 6 inches long, then how long should you cut the 20-inch-wide paper? Assume that the 4-inch side will become 20 inches long. Use two different methods to solve the postcard problem: the scale factor method and the internal factor method, and link each to a proportion you set up. In each case, explain why the method makes sense in as concrete a way as you can. 2. Decide whether the following problem is easier to solve with the scale factor method or with the internal factor method. Explain your answer. A stuffed animal company wants to produce an enlarged version of a popular stuffed bunny. The original bunny is 6 inches wide and 11 inches tall. The enlarged bunny is to be 33 inches tall. How wide should the enlarged bunny be? 3. Decide whether the following problem is easier to solve with the scale factor method or with the internal factor method. Explain your answer. A toy company wants to produce a scale model of a car. The actual car is 6 feet wide and 12 feet long. The scale model of the car is to be 2 inches wide. How long should the scale model of the car be?

Answer 1

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20 0 By Scale facter method. Scale tador. leughts of 20 inch wide paper. t = 5 6x Scale facter. 6x5 . By 130 Inches Internal facter method Internal factor of original bunny - 11 21 width of enlarged bunny :33 inches x internal factor. 33x6 118 inches ③ By Scale facto wethod: Scale factor 21/ 돔 6 Scale of the Cara 12x5 15 inches 12