Today in class students learned that while the scale factor is multiplied by all of the sides of a figure to create a scaled copy, to find the area of the new copy....you have to square the scale factor.
Answers to HW: 1. The perimeter of Q is 20 units, and the area of Q is 16 units. The scaled copy perimeter is 40 units, and the area of the copy is 64 square units. The scale factor is 2 and the area is multiplied by the square of the scale factor. 2. The area of each scaled triangle is the area of the original times the square of the scale factor scale factor area (units squared) 1 36 2 144 3 324 5 900 1/2 9 2/3 16 3. Diego used the scale factor of 1/4. The area of Q is 4.5 square units. This area is 1/16 the area of P (1/4)(1/4). 4. a. 1/2 because the vertical side on the copy is 1/2 the length of the vertical side on the original b. 2 because the vertical side on the copy is twice the length of the vertical side of the original c. 3/2 because the vertical side on the copy is 3/2 the length of the vertical side on the original d. 1 because the original and the copy have the same size 5. a. x = 7 b. x = 11 c. x = 5
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Today in class students learned about the size of scale factors. There are differences easily noticed when the scale factor is less than 1, equal to 1, or greater than 1.
Answers to HW: 1.a. greater than 1 b. greater than 1 c. less than 1 d. greater than 1 e. equal to 1 f. less than 1 g. equal to 1 2.a. 2 b.1/2 c. 2/3; the two scale factors are reciprocals of each other 3. Yes; the scale factor is 1 4. No; the scale factor of the shortest corresponding sides is 2 and that is not the scale factor for each of the other sides. 5. C, D, and F are all equivalent ratios Today in class students learned how to create scaled copies of given shapes.
Answers to HW: 1. When you get into class, check your drawings with your table partner. 2. The scale factor is 1/3. The side lengths of quadrilateral B must be 2,3,3, and 4. The perimeter is 2+3+3+4 = 12 3. Since the perimeter of the original polygon is 10, to achieve a perimeter of 30 the scale factor must be 3. Check your drawing with your table partner in class. 4. Ha, trick question. Actually only D is a scaled copy of A. Today in class students learned about scaled copies - what that means, what the copies have in common, and if they are actually to scale or not.
Answers to HW: (you can check out the answers to lesson 1 under the math 7 class tab) 1a. We can share the pair of corresponding points and pairs of lines we chose with our groups at the beginning of class tomorrow. b. Scale factor is how much the original is multiplied by to create the scaled copy. If you multiply the original by 1/4 or 0.25, you get the scaled copy. Count the square units and prove the math for yourself. 2. Statements B, D, and E MUST be true. 3. a. the scale factor is 2 because the top of A(2.5) corresponds to the top of B (5). b. Using a scale factor of 2 means you multiply each corresponding side on figure A to find out the sides of B...on the left side it measures 3, and on the right side is 5 c. The corresponding angles are also 53 degrees and 82 degrees because the figures are scaled copies of each other. 4. a. 5 b. 32 c. 3 d. 14 e. 1/3 Today in class students learned about their growth potential as students and people. We have our new math workbook for unit 1 and it should already have our name on it :)
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October 2018
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