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 ******************************** Level K-3 ******************************** 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. ************************************** NOTE: Please print this file using a monospaced font such as Courier