Front Edge 2 2 or 2.5 in. 7 8 or 1.88 in. 2a. See F igure Y below. 2b. Area of Figure B = 5(1 in. � 1 in.) = 5 in. 2 2c. Area of Figure Y = 5(3 in. � 3 in.) = 45 in. 2 3. The areas of the scale drawings are 9 times larger than the areas of the original figures using a 1:3 scale factor. So the change in area is equal to the scale factor squared. Back Edge 1 Center Chord 1 3 8 or 1.38 in.
5.63 in.
Page 57: Areas of Scale Drawings *with white behind logo 4. Wingspan: 31.52 in. ÷ 12 in. = 2.63 ft Front Edge: 22.52 in. ÷ 12 in. = 1.88 ft Back Edge: 16.92 in. ÷ 12 in. = 1.41 ft Center Chord: 12.44 in ÷ 12 in. = 1.04 ft 5. As the factor scale increases, the measurements become larger, but all measurements keep their relationship to the others. Where Math Gets Real Areas of Scale Drawings Figures are not drawn to scale. 1a. See F igure X below . 1b. Area of Figure A = (2 in. � 2 in.) + 2 � 2 1 in. � 1 in.) = 4.5 in. 2 1c. Area of Figure X = (6 in. � 6 in.) + 2 � 2 1 (1.5 in. � 3 in.) = 40.5 in. 2 1d. Figure X is 9 times larger than Figure A. 40.5 in. ÷ 4.5 in. = 9 2a. See F igure Y below. 2b. Area of Figure B = 5(1 in. � 1 in.) = 5 in. 2 2c. Area of Figure Y = 5(3 in. � 3 in.) = 45 in. 2 3. The areas of the scale drawings are 9 times larger than the areas of the original figures using a 1:3 scale factor. So the change in area is equal to the scale factor squared. Front Edge 2 1 2 or 2.5 in. 5.63 in. 22.52 in. Back Edge 1 7 8 or 1.88 in. 4.23 in. 16.92 in. Center Chord 1 3 8 or 1.38 in. 3.11 in. 12.44 in. (0.5 PRANDTL-M MEASUREMENTS PLANE PART DRAWING MODEL PLANE ACTUAL PLANE Wingspan 3 1 2 or 3.5 in. 7.88 in. 31.52 in.
4.23 in.
Answer Key (cont.)
3.11 in.
ANSWERS
Page 58: Exit Slips
Exit Slips A. 1. 2 1 4 in. 2. 2 1
Figure X
SCHOLASTIC MATH DECEMBER 11, 2017 (PAGE 3)
1 4 or 20.25 in.
4 in. � 9 = 20
B. 1. 3
9 16 or 3.56 in.
ents.
6 in. 2. 3.56 in. � 7 = 24.92 in. 3. 24.92 in. � 3 = 74.76 in. 74.76 in. ÷ 12 in. = 6.23 ft Sessions 21 & 22 Fake News, Fake Data Pages 62–63: Misleading Graphs Accept all reasonable answers. Responses and arguments may vary. 1a. The graph is missing a scale. 1b. Without a scale, you do not know the values 1.5 in. Figure Y DECEMBER 11, 2017 • Answers of how many students prefer each type of drink. The argument might be that juice and soda are just as good or healthy as water. 1c. Add a scale that starts at 0 and is placed on the y -axis. Make sure the bars follow the scale. 2a. The percents add up to greater than 100%. The percents do not compare parts of the same whole. 2b. It appears that 6th graders have the most pets. The argument might be that most 6th graders have pets. 2c. Represent the data using a bar graph. 3a. There is no key and the scale does not start at 0. 3b. You do not know what the lines are comparing or where the percentages started. The argument might be that Bob is trying to exaggerate the improvement of his test scores. 3c. You need to add a key and fix the scale to start at 0%.
estion
estion
hind logo
o the
Figure X
Exit Slips A. 1. 2 1 4 in. 2. 2 1
2 1
(0.5
2 1
1 4 or 20.25 in.
(1.5
4 in. � 9 = 20
e A.
1.5 in.
B. 1. 3
9 16 or 3.56 in.
n. 2 5 in. 2
2. 3.56 in. � 7 = 24.92 in. 3. 24.92 in. � 3 = 74.76 in. 74.76 in. ÷ 12 in. = 6.23 ft 6 in.
times res n area
Figure Y
3 in.
DECEMBER 11, 2017 • Answers
3 in.
scholastic.com/math
55
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