‘X’ Marks the Spot
Introduction: Watch the clip:
https://www.youtube.com/watch?v=8SjMxvk8Ayc
You have found a treasure map! You and your friends decide
you are going to find the treasure. You must follow the clues to
find it. Begin by creating pirate names for yourselves. This
site might be useful: www.piratenames.net
Your crew:
_____________________________
_____________________________
_____________________________
_____________________________
Your map covers a large area,
so you and your crew must
first narrow down the search by solving the clues below and
marking the area on your map.
Clue #1: The treasure lies in realm of the stag South of the
line created as the crow flies between Horn Hill and FairMarket.
( y < (8/3)x + 4/3 )
All pirates should graph this on their individual map
first. Then, confirm with the rest of the crew for
accuracy. Once all crew members agree on the line, place
the line and shading on the treasure map in red.
Clue #2: The north shore of the Sea of Dorne creates the
southern border of the treasure area.
( y > -9 )
All pirates should graph this on their individual map
first. Then, confirm with the rest of the crew for
accuracy. Once all crew members agree on the line, place
the line and shading on the treasure map in blue.
Clue #3: From a point West of Storm’s End to a point northwest
of King’s Landing, this is the final border of the treasure
area. ( y < -x -2 )
All pirates should graph this on their individual map
first. Then confirm with the rest of the crew for
accuracy. Once all crew members agree on the line, place
the line and shading on the treasure map in green.
Now that you and the crew have narrowed down the search area it
is time to figure out where to dig for the treasure. We all
know that ‘X’ marks the spot, so where is that pesky ‘X’? You
find a couple of equations scribbled on the edge of the map. (y
= (1/5)x -8 and 3x +10y = -70) You decide to graph them and see
if they intersect.
All pirates should graph this on their individual map
first. Then confirm with the rest of the crew for
accuracy. Once all crew members agree on the lines, place
the lines and mark the intersection on the treasure map in
Black.
The treasure seems to be buried by what town?
______________________________
You and your set off for the town and spend hours
digging. Suddenly you hear a “thud”. Your
shovel has hit something. It’s the treasure!
You open the chest and find a ton of gold and
gems. How exciting!
Splitting the gold is easy, however, you realize
it won’t be easy to pay for things in gems. You
decide you have to go to One Eyed Jasper, the
money trader, and trade in your gems for gold.
In your chest, you have Rubies and Emeralds. One Eyed Jasper
tells you there are 450 gems total and they are worth 32,250
gold pieces. You forgot to count the number of Rubies and
Emeralds before giving them to him. If Rubies are worth 50 gold
and Emeralds are worth 125 gold, find the number of Rubies and
Emeralds that were in the chest.
All pirates should do the work on the back of their map
first. Then confirm with the rest of the crew for accuracy.
Once all crew members agree on the answer, fill in the work
below neatly.
Let x = _______________
Let y = _______________
Equation 1:
Equation 2:
State the method you are choosing to solve the system.
____________________________
Solve the System of Equations. SHOW ALL WORK!!!!
There are _______ Rubies and _______ Emeralds.
As you and the crew are discussing just how you are going to
spend your new found wealth, one of you bumps into the chest and
triggers a hidden compartment. Inside you find a stash of finely
cut Sapphires and Diamonds.
Jasper tells you that Diamonds are worth 3 times as much as
Sapphires and you have a total of 64,000 gold worth of gems.
How much are the Sapphires and Diamonds worth?
All pirates should do the work on the back of their map
first. Then confirm with the rest of the crew for accuracy.
Once all crew members agree on the answer, fill in the work
below neatly.
Let x = ________________________
Let y = ________________________
Equation 1:
Equation 2:
State the method you are using to solve the system.
____________________________
Solve the system of equations. SHOW ALL WORK!!!
Sapphires are worth ________________ and Diamonds are worth
__________________
Unfortunately, Jasper does not have enough gold on
hand to exchange the gems. So you and your crew
decide to rebury the treasure. However, you think
the last place was too easy to find. If you bunch
of scallywags could find it, anyone could. So you
decide to travel up to Winterfell and bury it in a
secure location.
Winterfell is a pretty big area. You and
narrow it down a bit. You need to create
inequalities to define the treasure area.
inequalities must be either a vertical or
other 2 (or more) must contain both x and
your crew decide to
at least 3
One of the
horizontal line. The
y in the inequality.
Inequality
Inequality
Inequality
Inequality
1: ___________________________
2: ___________________________
3: ___________________________
4: ___________________________
(optional)
All pirates should graph this on their individual map
first. Then confirm with the rest of the crew for
accuracy. Once all crew members agree on the lines, place
the lines and shading on the treasure map in yellow.
Now to mark the actual treasure spot with an ‘x’. Create a
system of equations that has a solution in the treasure area.
Both equations must contain an x and y value.
Equation 1: ___________________________
Equation 2: ___________________________
All pirates should graph this on their individual map
first. Then confirm with the rest of the crew for
accuracy. Once all crew members agree on the lines, place
the lines and mark the intersection on the treasure map in
purple.
Now all you need is a way to remember where you buried the
treasure. Create a series of clues to go with your inequalities
and equations to help you find the treasure again. Remember,
communication is important. Make sure your clues are accurate
and grammatically correct and make sense. Write neatly!
Clue #1:
___________________________________________________________
___________________________________________________________
___________________________________________________________
Clue #2:
___________________________________________________________
___________________________________________________________
___________________________________________________________
Clue #3:
___________________________________________________________
___________________________________________________________
___________________________________________________________
Give a written description of the actual location of the
treasure (make is sound piratey)
___________________________________________________________
___________________________________________________________
___________________________________________________________
___________________________________________________________
Once all crew members are satisfied with the new location clues
and description, write you real names on the back of the
treasure map in pencil. Place all maps back in the manila
envelope and turn in to Admiral Glasner.