If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.
You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!
In 1835 Russian sea otter hunters clashed with Indian people living on remote San Nicolas Island. The bloody conflict drastically reduced the native population. Missionaries requested that these Indians be moved to the mainland for their own safety. When a ship was sent to pick them up high winds forced it to depart early leaving Juana Maria behind. In 1853, a party headed by sea otter hunter George Nidever found the Indian woman alive and well. Clad in a dress of cormorant skins sewn together, she lived in a shelter made from whale bones. She willingly went with her rescuers bringing along only a few possessions. Nidever brought her home to live with him and his wife in Santa Barbara, California. No one, including the local Chumash Indians could understand her language. The new living conditions altered her diet and affected the woman’s health. She contracted dysentery and died after she had been on the mainland for only seven weeks. The Lone Woman was baptized conditionally with the Christian name Juana Maria (her Indian name is unknown) She is buried at Mission Santa Barbara where a plaque remains in her memory. This is a real castaway story.
Now imagine that your family summer vacation to the Bahamas has taken a turn for worse! Your initial flight from Harlingen to Miami was great! Your flight from Miami to Nassau started off on time; you and your family were enjoying the trip when a severe thunderstorm hit the plane. The lightning caused the plane’s engine to fail and the pilot was forced to crash somewhere in the Caribbean. You and your family were able to climb into the emergency raft and stayed on it for hours until you luckily arrived to a desert island.
Human beings cannot survive for more than few days without water. The island is surrounded by ocean water, but there is no fresh water on the island. Will you be able to survive?
It has been raining every afternoon. A large piece of the plane washed ashore. Could you use this material to create a water collector container while you wait to be rescued?
Task
Sample Investigations/Teacher Resources
You will create a water collector strong enough to remain intact when filled to capacity, can stand upright without anyone holding it and it should have a bottom. It can hold at least 1,000 ml of water for each member of your family.
You will decide the shape of the container (cylinder, cube, rectangular prism, etc). The more volume, the better! Remember to use as much as the area provided in order to create the figure that can hold the most volume.
The piece of metal looks like the following drawing:
You will present your findings to your class, including the volume and surface area calculations.
1. List your personal understanding, ideas or hunches.
Now that you are familiar with surface area an volume you will write everything you know about surface area an volume. Describe your thoughts or ideas about how to solve the problem. There are not incorrect answers in this step, just feel free to brainstorm your ideas.
2. List what is known.
With your team use all the information available in the scenario to list everything that you know about surface area an volume. You do not have to conduct any research yet. Just use the information given and write the facts that you already know about surface area an volume.
3. List what is unknown.
With your team, make a list about what you do not know and would like to learn. List all the questions you will need to answer to solve the problem.
5. List what needs to be done. "What should we do?" List actions to be taken, e.g., question an expert, conduct research, go to a board meeting about topic. List possible actions.
6. Develop a problem statement.
You will be responsible for thinking and choosing one of the questions to solve the problem. A problem statement should come from your analysis of what you know. In one or two sentences, you should be able to describe what it is that your group is trying to solve, produce, respond to, or find out. The problem statement may have to be revised as new information is discovered and brought to bear on the situation.
7. Gather information
Use all the resources available (Internet, library, etc) to research about the problem/topic and find a solution.
8. Present Findings
Each team will present its water container to the group. You will be responsible to explain why you chose that shape and will present your volume calculations to your classmates.
G.8) Congruence and the geometry of size. The student uses tools to determine measurements of geometric figures and extends measurement concepts to find perimeter, area, and volume in problem situations.
D) The student finds surface areas and volumes of prisms, pyramids, spheres, cones, and cylinders, and composites of these figures in problem situations.
(G.11) Similarity and the geometry of shape. The student applies the concepts of similarity to justify properties of figures and solve problems.
(D) The student describes the effect on perimeter, area, and volume when one or more dimensions of a figure are changed and applies this idea in solving problems.
This is your Sidebar, which you can edit like any other page in your workspace.
This Sidebar appears everywhere on your workspace. Add to it whatever you like -- a navigation section, a link to your favorite web sites, or anything else.
Comments (0)
You don't have permission to comment on this page.