5573 /www/nrich/html/content/id/5573/ 1 2011-02-01T00:00:01 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> Complete this jigsaw of the $1$ to $10$ multiplication square.<br></br> <br></br> <a href="/content/id/5573/JigMult.swf">Full Screen Version</a> <br></br> <mdo:flash height="400" width="550"><param value="/content/id/5573/JigMult.swf" name="movie" ></param><param value="7" name="flashplayerversion" ></param><param value="400" name="height" ></param><param value="550" name="width" ></param></mdo:flash><br></br> <br></br> You could print off <a href="/content/id/5573/JigSawMult.pdf">this sheet</a> of the square and the pieces to cut out. <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> <p class="editorial">Nicole from Eastwood Primary wrote to tell us how she tackled this jigsaw:</p> First I got all the numbers down the side which were $1, 2, 3, 4, 5, 6, 7, 8, 9, 10$ and then got the numbers for the top which were the same and put them where they were meant to go!<br></br> After that I timesed them and I then put the other pieces where they were meant to go!<br></br> <br></br> <p class="editorial">Several of you sent in a picture of your completed square. This one is from Kelsi, who goes to Mason Middle School:</p> <br></br> <mdo:image width="337" height="349" src="solution.gif" alt="solution 1-10 multiplication grid"></mdo:image><br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><div class="embed"> <h2>Multiplication Square Jigsaw</h2> <br></br> Complete this jigsaw of the $1$ to $10$ multiplication square.<br></br> <br></br> <a href="/content/id/5573/JigMult.swf">Full Screen Version</a><br></br> <mdo:flash height="400" id="/content/id/5573/JigMult.swf" width="550"><param name="allowfullscreen" value="true"></param><param name="movie" value="/content/id/5573/JigMult.swf"></param> <param name="flashplayerversion" value="7"></param> <param name="height" value="400"></param> <param name="width" value="550"></param> </mdo:flash><br></br> <br></br> You could print off <a href="/content/id/5573/JigSawMult.pdf">this sheet</a> of the square and the pieces to cut out.</div> <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=5573&amp;part=index">This jigsaw</a> is a great way for children to reinforce their understanding of the sequences contained within the multiplication square and of course provides a motivating context in which to practise their tables.<br></br> <h3>Possible approach</h3> <div>You could use <a href="/content/id/5573/JigMult.swf">this interactivity</a> of the jigsaw as a whole class activity on an interactive whiteboard, inviting children to explain how they would start and then go on to complete the task altogether.</div> <br></br> <div>Alternatively, you could introduce the jigsaw to the whole group and then ask them to complete it in pairs, either at computers or by printing off and cutting out <a href="/content/id/5573/JigSawMult.pdf">this sheet</a> of the grid and pieces. The conversations they have amongst each other as they work will be well-worth listening in on as they will reveal any misconceptions but also inform you as to how well the children are able to reason mathematically.</div> <br></br> <h3>Key questions</h3> What is the pattern of the numbers in this column/row? <div>Which tables will you find this number in?</div> <div>What is the smallest number in the table? Where would it go?</div> <div>What is the biggest number in the table?</div> <div>Can you see a pattern in the gaps you have left?</div> <br></br> <h3>Possible extension</h3> David Longman, a teacher at Holmemead Middle School, very kindly suggested the following activities which complement and extend this activity. <a href="/content/id/5573/Unfinished%20tables%20square.doc">This sheet</a> is an unfinished tables square for children to complete. This <a href="/content/id/5573/Ripped%20up%20tables.doc">Ripped-up Tables</a> activity could be used as a follow-up to the Multiplication Square Jigsaw. Not only do pupils have to put the square together, they have to complete it first!<br></br> <h3>Possible support</h3> At first, children may want to use a ready-made table square to help in doing the jigsaw before trying to do again (or trying later stages) without this aid.<br></br> <br></br></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><br></br> How are the numbers in the multiplication square made? <br></br> What is the smallest number in the square? Where does that go? Can you find the piece with it on?<br></br> How about the largest number? Where would that be placed in the grid?<br></br> What patterns do you notice in the pieces you have put in? Can you continue the patterns and therefore fit some more pieces in?<br></br></mdoxml> 2 3 0 1 0 0 0 Can you complete this jigsaw of the multiplication square? Information and Communications Technology Interactivities Calculations and Numerical Methods Multiplication & division Numbers and the Number System Comparing and Ordering numbers Numbers and the Number System Factors and multiples Sequences, Functions and Graphs Arithmetic sequence Admin Upper primary mapping document