magic2

Below the second challenge, our *FIRST* "for real" post. E-Mail
coordinators, please make sure your teams have NTP's (Net Team
Partners) and exchange information and disscuss *HOW TO* solve
the challenges.
Good Luck
MrH

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Level K-3

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Pole Climbing and the Coordinate Plane...

There is a very important idea called coordinate geometry. It is
a way to find places and mark them for others to see and find.
It is used on maps and diagrams and to show pictures of
formulas. Here is how it works:

Draw a pole going up from the level ground. Starting at the
ground level, every time you go up 1 unit, there is a step to
rest on. Lets call this starting pole, Pole 0. Now, 1 unit to
the right is another pole, Pole 1. It looks just like pole 0.
And, 1 unit to the right of this pole is another identical pole,
Pole 2, and so on. It looks like this:

| | | | | |

4+ + + + + +

| | | | | |

3+ + + + + +

| | | | | |

2+ + + + + +

| | | | | |

1+ + + + + +

| | | | | |

--------------------------

0 1 2 3 4 5

Tina is an expert pole climber. She uses a special notation to
show which pole she will climb and how far she will go up that
pole.

For example, If she wants to go to pole 2 and climb up 3 steps,
she writes (2,3) and it looks like this, where "@" marks the
spot!

| | | | | |

4+ + + + + +

| | | | | |

3+ + @ + + +

| | | | | |

2+ + + + + +

| | | | | |

1+ + + + + +

| | | | | |

-------------------------

0 1 2 3 4 5

See if you can figure out these problems--Draw your own poles on
the chalkboard or bulletin board, or make a poster if you want
to.

1) How would you write these locations using Tina's notation:

A) go to pole 4 and climb 2 steps

B) go to pole 2 and climb 8 steps

C) go to pole 0 and climb 3 steps

D) go to pole 3 and climb 0 steps

2) Draw poles like Tina's and draw the locations indicated below:

A) pole 3, step 1

B) pole 1, step 5

C) (4,2)

D) (3,2)

E) (2,6)

3) John goes to (1,3) and Tina goes to (5,3). How far apart are
they?

4) Next, Bill goes to (2,1) and Tina goes to (2,6). How far
apart are they?

5) Finally, Bill goes to (5,2) and John goes to (1,7). Tina is
at (5,7). Who is closer to Tina--is it Bill or John? Explain
your answer.

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NOTE: Please print this file using a monospaced font such as Courier