1112 /www/nrich/html/content/02/05/penta4/ 1 2011-02-01T00:00:01 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <p>Here is a map of a Treasure<a href="/content/02/05/penta4/map.png">map.png</a> .</p> <p style="text-align: center;"><mdo:image alt="map" height="412" src="map.png" width="565"></mdo:image></p> <p>What are the co-ordinates of these objects?</p> <p style="text-align: center;"><mdo:image alt="" height="99" src="1112.png" width="442"></mdo:image></p> <br></br> <p>Write down what you can see at the co-ordinates given below:</p> <ol> <li>($7, 5$)</li> <li>($9, 5$)</li> <li>($5, 3$)</li> <li>($2, 3$)</li> <li>($7, 1$)</li> <li>($3, 3$)</li> <li>($4, 2$)</li> <li>($1, 1$)</li> </ol> <p>The words can be used in a special way to find the coordinates of the buried treasure. Can you work out where it is?</p> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <p>We had lots of solutions for this question. Catherine and Zoe from Vernon Junior School, Poynton, Cheshire said:</p> <p>We solved this problem by finding the co-ordinates first, which are as follows:</p> <ul> <li>elephant</li> <li>island</li> <li>gate</li> <li>hill</li> <li>tree</li> <li>tower</li> <li>wall</li> <li>octopus</li> </ul> <p>All the letters spell eight two which are the co-ordinates of the buried treasure.</p> <p><strong>The Lighthouse!</strong></p> <p>Sam and Ryan from Middlewich Primary School also explained their thinking clearly:</p> <ul> <li>(7,5) Elephant</li> <li>(9,5) Island</li> <li>(5,3) Gate</li> <li>(2,3) Hill</li> <li>(7,1) Tree</li> <li>(3,3) Turrent</li> <li>(4,2) wall</li> <li>(1,1) Octopus</li> </ul> <p>We got the first letters from each word and our solution is EIGHT TWO. (8,2), the lighthouse where the treasure is buried.</p> <p>Thanks for solutions to Andy, Craig from Vernon Junior School and Ashley, Lewis, Adam, Gemma, Jodie, Emily, Sophie, Rachel, Leah and Maria from Middlewich Primary School, Cheshire. Thank you Yifan from Glasgow and Claire, as well.</p> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <h3><span style="font-weight: bold;">Why do this problem?</span></h3> <a href="http://nrich.maths.org/public/viewer.php?obj_id=1112&amp;part=index"> This problem</a> is an interesting way of practising using coordinates in the first quadrant. The answer is found in a way which will intrigue able young learners. <br></br> <h3>Key questions</h3> <div>What can you find at the point given by these coordinates?</div> <div>Can you think of another word that might describe this object?</div> <div>What is the initial letter of this word?</div> <div>What do these letters spell out?</div> <br></br> <h3>Possible extension</h3> Learners could make their own treasure island map on squared giving the coordinates of various objects.<br></br> <h3>Possible support</h3> Suggest finding the objects at each of the given coordinates and writing down their names. It is the initial letter of the picture clues which you need to spell out the answer.<br></br> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"> <p>It is the initial letter of the picture clues which you need to spell out the answer.</p> </mdoxml> 2 3 0 1 0 0 0 Write down what you can see at the coordinates of the treasure island map. The words can be used in a special way to find the buried treasure. Can you work out where it is? Coordinates and Coordinate Geometry Coordinates - first quadrant