Olympic Turns

8191 /www/nrich/html/content/id/8191/ 1 2012-06-01T00:00:00 <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0">Here are some photos of some Olympic sports that involve turns and angles in different ways. Explore your favourite photo and see what angles you can see. Can you estimate them? Can you measure them for angles and turns. How do the athletes or players use angles to succeed in their sport? <mdo:image class="fancyzoom" src="best%20basketball%202%20use%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20gym%201-500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20gym%202%20-500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="hockey1-500.jpg" style="width: 125px; height: 125px;"></mdo:image> <mdo:image class="fancyzoom" src="best%20hockey%202%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20taek%20-%20500.jpg" style="width: 126px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20Taek%202%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20volleyball%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image> <mdo:image class="fancyzoom" src="best%20volley%202%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20hammer%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20discuss%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20diving%201%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image> <mdo:image class="fancyzoom" src="best%20diving%202%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20gym%203%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20hockey%203%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20handball%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image> Here is a link to the <a href="http://www.london2012.com/sport">Olympic website</a>. There are lots of resources here including photos, images and video clips that show turns and angles in different ways. Explore your favourite Olympic event for angles and turns. <div class="framework"><a href="http://nrich.maths.org/8191/note">Photograph acknowledgements</a></div></mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0">So the $16$ pictures caused you to look carefully and think about turning and angles. Here are three ideas that were sent in. First from Alex who is at Stoke by Nayland Middle School and this is what Alex says: You find $90$ degrees and then you work from there giving a rough estimate at where they are. Secondly Russell from St. Anselm's wrote: I chose the basketball player. She is bending her arms at a obtuse angle at $140$ degrees and she is firing the ball out of her hands. Before that she had her arms at a right angle at $90$ degrees ready to fire. Lastly Joe from West Hove Junior School thought about the swimmer. $95$ degrees on the elbow $45$ degrees on the other elbow $90$ degrees on the waist We had three late submissions come from the British International School in Vietnam, firstly Tamzin who wrote: I think the angle of the swimmer (bottom row, first from the left) is $92$ Degrees, because it looks a teeny bit more than a right angle. and from Simran who copied the picture of the Diver and wrote: This is a Dive Taken place during the olympics in which some parts of your body have to be in a particular angle, example- your feet need to be absolutely pointed $180°$. Also your hands need to be in a fist which is $360°$. Some divers fall into the water after turning $360°$, most divers fall in with their bodies as a stream line which is $180°$. finally Nadya wrote: The picture that I have a solution for is on the Bottom row second to the left. I think it is around an $85$ Degrees because it cannot be $90$. If it was $90$ degrees then her body would be completely straight. She might have used a beam or trampoline to give her a push to become that shape. Thank you all for these thoughtful solutions. </mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0"><div class="embed"> <h2>Olympic Turns</h2> Here are some photos of some Olympic sports that involve turns and angles in different ways. Explore your favourite photo and see what angles you can see. Can you estimate them? Can you measure them for angles and turns. How do the athletes or players use angles to succeed in their sport? <mdo:image class="fancyzoom" src="best%20basketball%202%20use%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20gym%201-500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20gym%202%20-500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="hockey1-500.jpg" style="width: 125px; height: 125px;"></mdo:image> <mdo:image class="fancyzoom" src="best%20hockey%202%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20taek%20-%20500.jpg" style="width: 126px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20Taek%202%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20volleyball%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image> <mdo:image class="fancyzoom" src="best%20volley%202%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20hammer%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20discuss%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20diving%201%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image> <mdo:image class="fancyzoom" src="best%20diving%202%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20gym%203%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20hockey%203%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image><mdo:image class="fancyzoom" src="best%20handball%20-%20500.jpg" style="width: 125px; height: 125px;"></mdo:image> Here is a link to the <a href="http://www.london2012.com/sport">Olympic website</a>. There are lots of resources here including photos, images and video clips that show turns and angles in different ways. Explore your favourite Olympic event for angles and turns. <div class="framework"><a href="http://nrich.maths.org/8191/note">Photograph acknowledgements</a></div> </div> <h3>Why do this problem?</h3> Different sports involve angles in different ways. Gymnastics involves making the body twist, turn and spin to accomplish different feats. Hockey involves choosing the angle at which to pass the ball to another player or to aim for the goal. The Olympic Games can offer children a motivating context in which to explore angles and turns and gain a deeper understanding of the concepts involved in a real world setting. Large versions of these pictures can be found here <a class="powerpoint" href="/content/id/8191/The%20Olympic%2016%20pics.ppt">.ppt.</a> The pictures can be printed off and laminated if you like or shown on an IWB. <h3>Possible approach</h3> Ask the children to examine the photos in the collection and see what angles they can see. They could begin by choosing their favourite event and exploring the angles and turns involved in that. Some sports will be easier to explore than others. <h3>Key questions</h3> Look at a photo of an athlete in action. Which angles are important? Can you estimate them? Can you measure them? Ask the children to explore the <a href="http://www.london2012.com/sports/">Olympic website</a>. If they click on the icon for a sport then they will find videos and photos that show angles and turns in that context. Look at a photo of an athlete in action. Which angles are important? Can you estimate them? Can you measure them? Look at an <a href="http://www.london2012.com/sports/index.html">icon</a>. Are there are any important angles in the picture? Can you estimate them? Can you measure them? Look at a video clip. Are there any angles involved in the sport that are important? Are there turns involved? How much does the athlete turn? How do the angles at which they hold their arms, their legs or pieces equipment affect their success? <h3> Possible extension</h3> Ask the children to explore the <a href="http://www.london2012.com/sport">Olympic website</a>. If they click on the icon for a sport then they will find videos and photos that show angles and turns in that context. The dynamic situations in the video clips will be harder to explore than the static images and should provide challenge for the most enthusiastic learners with the best grasp of angles and turns. <h3> Possible support</h3> The <a href="http://www.london2012.com/sport">icons</a> on the Olympic website provide static images which will be easier to explore using screen captures and protractors to measure them. If you print out the images then it will be possible to draw lines on them to make the angles easier to see and to measure. Look at the icon. Are there are any important angles in the picture? Can you estimate them? Can you measure them? <div class="framework">Photograph acknowledgements http://upload.wikimedia.org/wikipedia/commons/8/8c/2_AG-ARGENTINA_AUSTRALIA.jpg http://upload.wikimedia.org/wikipedia/commons/9/9d/Taekwondo_kick.jpg http://upload.wikimedia.org/wikipedia/commons/8/80/Hammerthrow_wire.jpg http://upload.wikimedia.org/wikipedia/commons/b/bd/Stacy_Sykora_during_a_match.JPG http://upload.wikimedia.org/wikipedia/commons/a/ac/Hockey_Game.JPG http://upload.wikimedia.org/wikipedia/commons/f/fa/Brenda256.jpg http://www.boston.com/bigpicture/2008/06/usa_olympic_diving_trials.html http://www.telegraph.co.uk/sport/olympics/diving/5207593/Teenage-Olympic-diver-Tom-Daley-taunted-by-school-bullies.html http://upload.wikimedia.org/wikipedia/commons/3/3e/Tai_Kwon_Do_competition%2C_UCD.jpg http://www.flickr.com/photos/rickmccharles/540101322/ http://upload.wikimedia.org/wikipedia/commons/4/44/DHypolito-Vault.jpg http://upload.wikimedia.org/wikipedia/commons/a/ac/In_the_air_tonight_%28gymnastics%29.jpg http://upload.wikimedia.org/wikipedia/commons/8/8e/Volleyball_kill_shot_two_blockers.jpg http://commons.wikimedia.org/wiki/File:Three_point_shoot.JPG http://upload.wikimedia.org/wikipedia/commons/5/59/POL_-_ISL_%2803%29_-_2010_European_Men%27s_Handball_Championship.jpg http://commons.wikimedia.org/wiki/File:Zoltan_Kovago_o.jpg</div> </mdoxml> <?xml version="1.0" encoding="UTF-8"?> <mdoxml version="1.0">Can you see any angles in the way in which the athlete holds his or her body or their arms or legs? How do they hold the equipment they use? Do the angles they use affect their score?</mdoxml> 2 5 0 1 0 0 0 Olympic Turns This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles. Applications sport 2D Geometry, Shape and Space Angles Using, Applying and Reasoning about Mathematics Representing Using, Applying and Reasoning about Mathematics Real world Admin Upper primary mapping document