D AY 79 – A PPLICATIONS OF G RAPHING S YSTEMS
In order for your team to find the hidden treasure, you must complete the following tasks. You will all have a map, and should all do the work first and then agree on an answer for the work done on the Large Map.
1. Your group will look at the first clue. Team Member #1 will read it aloud and everyone in the group will work on this clue on their small maps. When the group decides on the solution, Team Member #1 will duplicate the group’s solution on the Large Map. ONLY when clue #1 is complete may your group look at clue #2. 2. Everyone in the group will work on clue #2 on their small maps. When the group decides on the solution, Team Member #2 will duplicate the group’s solution on the Large Map. When all clues and tasks from the second report are completed, the group may then move on to the third clue.
3. All group members will work on clue #3 on their small maps. Team Member #3 in each group will be passed the map and respond to the clues found in the third report. When all the clues and task from the third report are completed, the team may look at the final clue. 4. Person #4 will be handed the map and will use it, with the help of the team, to write the inequalities of the graph. The team will determine the possible landing site for the balloon. 5. The team will agree on the possible landing site, circle the location on the Large Map, and sign your names to the map. 6. When your team finishes, fold your map and raise your hand to turn it in.
T HE B ASIC F ACTS : The treasure was tied to a balloon that was blown far, far off course, and ended up going down somewhere in the South Pacific. Clue 1: Pilot’s report from a nearby airplane: “We were on our way from Australia, when we saw a hot -air balloon sinking rapidly. I am certain that it crashed south of our flight path. When we left Australia, we traveled 2000 km north of every 3000 km east that we flew. “ 1) Use a blue pencil to identify all of the places where the balloon could be. 2) Write an inequality to represent all the possible places the balloon could be
Clue 2: Report from the Secret Service According to a U.S. government plane flying from the northern tip of the Philippines to French Polynesia, the balloon’s last known location was at ( -1000, 1000) near the Solomon Islands. 1) Use a red pencil to identify all of the places where the balloon could be. 2) Write an inequality to represent all the possible places the balloon could be.
Clue 3: Phone call received today: “I was a passenger on a flight that flew directly from French Polynesia to Indonesia. I was looking out my window when I saw the balloon landing to the north of where we were flying.” 1) Use a green pencil to identify all of the places where the balloon could be. 2) Write an inequality to represent all the possible places the balloon could be.
Clue 4: Your Answer: On the map, write the following: 1) The three linear inequalities representing the information in the clues. 2)The location that is the most likely spot for the balloon to land? 3)What are the coordinates for this location? Once you have this information, every member of your group should verify its accuracy and sign it. Fold your map in half and hand it to the teacher.
Clue 1 (Blue): _____________________________ Clue 2 (Red): _____________________________ Clue 3 (Green): _____________________________ The location that is the most likely spot for the balloon to land is ______________________________. What are the coordinates for this location? ______________
2 Clue 1 (Blue): 2000 y 3 x _____________________________ 2 Clue 2 (Red): 2000 y 3 _____________________________ x 1 Clue 3 (Green): y 5 _____________________________ x The location that is the most likely spot for the balloon to land is ________Somoa_________________. What are the coordinates for this location? _(4000,-1000)__
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