‘X’ Marks the Spot

Introduction: Watch the clip:

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:

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 = ______Equation 1:

Let y = ______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 = ______Equation 1:

Let y = ______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 your crew decide to narrow it down a bit. You need to create at least 3 inequalities to define the treasure area. One of the inequalities must be either a vertical or horizontal line. The other 2 (or more) must contain both x and y in the inequality.

Inequality 1: ______

Inequality 2: ______

Inequality 3: ______

Inequality 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.