Activity 1: Find the buried treasure Right click and select zoom. Then

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Activity 1: Find the buried treasure

1.

Right click and select zoom. Then zoom out until you can see the 100 mark on both the x and y axes.

Next we will identify the locations of the two landmarks, call them A and B. Use the button to place point A on the origin and point B 100 units away. Your graph should look like the one below.

1.

We know that the treasure is somewhere 80 meters from landmark A. So place several points that are 80 units away from point A on the graph. You can do this using the segment with given

length function.

Once that tool is selected click on point A and enter 80 in the length box. This will put the line segment on the x axis so you can drag it to other positions using the move tool

For example, your graph might look something like the one below.

.

Continue doing this until you have at least 6 points that are 80 units from landmark A.

Describe the relationship between these points. The points appear to create a _____________.

create a circle of radius 80 centered at point A. Do this by selecting the tool and clicking on point A. Then drag the mouse outward until the circle lines up with the points you have already drawn.

Tada!

2.

We know that the treasure is also 60 meters from landmark B. So if we want all of the points that are 60 units from point B we need a circle with center B. Create a point 60 units away from point B and then a circle with radius 60 centered at point B.

Considering the picture that you have just created, where could the treasure be hidden?

To find the buried treasure, it will be necessary to dig in no more than ________ locations.

3. What would happen if the location of the landmarks were changed? For example what if we were given the following scenario? See if you can determine the answer without using the sketchpad but you need it go ahead.

The will of a distant relative gives the location of a buried treasure. The will identifies two landmarks on his estate that are 160 meters apart . It states that the treasure is buried 80 meters from the first landmark and 60 meters from the second landmark. Can you identify where the treasure might be buried?

4. What would happen if the location of the landmarks were changed again?

The will of a distant relative gives the location of a buried treasure. The will identifies two landmarks on his estate that are 140 meters apart . It states that the treasure is buried 80 meters from the first landmark and 60 meters from the second landmark. Can you identify where the treasure might be buried?

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