Gradient and Rate of Change
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1 Name: 1. Base your answer(s) to the following question(s) on the topographic map shown below. Letters A, B, C, and D represent locations on Earth s surface. The symbol marks the highest elevation on Patty Hill. Elevations are shown in feet. What is a possible elevation at the symbol at the top of Patty Hill? 2. Indicate, using a compass direction, the steepest side of Patty Hill. 3. Explain how the shape of the contour lines crossing Blue Creek shows the direction that the creek is flowing. 4. A student placed a floating wooden block in Blue Creek at location A. Fifteen minutes later, the floating block arrived at location B. What was the creek s rate of flow from A to B? Express your answer to the nearest tenth. page 1
2 5. On the grid below, construct a profile of the land surface along line CD. Plot the elevation of each contour line that crosses line CD. Connect the plots with a line to complete the profile. page 2
3 6. Base your answer(s) to the following question(s) on the topographic map below. Points A, X, and Y are reference points on the map. What is a possible elevation of point A? A. 575 meters B. 600 meters C. 655 meters D. 710 meters 7. In which general direction does Flint Creek flow? A. southwest B. southeast C. northwest D. northeast 8. What is the approximate gradient along the straight dashed line between points X and Y? A. 50 m/km B. 100 m/km C. 150 m/km D. 300 m/km page 3
4 9. Base your answer(s) to the following question(s) on the topographic map shown below. Letters A, B, C, D, and E represent locations on Earth s surface. Letters K, L, M, and N are locations along Copper Creek. Elevations are measured in meters. What is the elevation of location A? 10. Calculate the gradient between points B and C and label your answer with the correct units. 11. On the grid below, construct a topographic profile along line DE by plotting an X for the elevation of each contour line that crosses line DE. Connect the Xs with a smooth, curved line to complete the profile. 12. Explain how the map indicates that Copper Creek flows faster between points N and M than between points L and K. page 4
5 13. Base your answer(s) to the following question(s) on the topographic map below. Points A and B are reference points on the map. The symbols show the highest elevations on Eagle Hill and Timony Hill. Elevations are shown in feet. Identify the general compass direction toward which Auroro Creek is flowing. 14. State a possible elevation of the top of Patriot Hill. page 5
6 15. On the grid below, construct a topographic profile along line AB by plotting an X for the elevation of each contour line that crosses line AB. Connect the plotted Xs with a smooth, curved line to complete the profile. Points A and B have been plotted. page 6
7 16. Base your answer(s) to the following question(s) on the topographic map below, which shows a small island in an ocean. Points A, B, C, and D represent surface locations on the island. The symbol 134 represents an elevation on the hilltop. Elevations are measured in feet and distances are measured in miles. On the grid below, construct a profile along line AB by plotting an X for the elevation of each contour line that crosses line AB. Connect the Xs with a smooth, curved line to complete the profile. page 7
8 17. Calculate the gradient of Mud Creek between points C and D and label your answer with the correct units. 18. State the compass direction toward which Mud Creek flows. 19. Explain how the contour lines on the map indicate that the north side of the island has the steepest slope. 20. An island measures 10 kilometers from east to west and 8 kilometers from north to south. A single hill on the east side of the island has a maximum elevation of 57 meters and is steepest to the north. In the space provided, draw a simple contour map to represent this island, using a distance scale of 1 centimeter = 1 kilometer and a contour interval of 10 meters. page 8
1. The topographic map below shows a depression contour line on Earth's surface.
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