Soccer 2v2 - Positioning, Angles, and Dilations
Adding More Players
While considering penalty kicks gives us a good starting point, soccer positions get more complicated as we consider more of the players on the field. [br][br]To start, let's consider the 2v2 situation pictured below.
1. Predict
OffenseA has the ball, and needs to make a split-second decision. She is deciding between shooting or passing to her teammate, OffenseB. [br][br]Which do you think is the better decision and why? Explain your reasoning in 2-3 sentences.
________________________________________________________________________
2. Investigate
Now play with the applet below. Look at what happens to the angles and dilations when we change the focal point ("Center of Dilation") from OffenseA to OffenseB.
Soccer - 2v2 Example
2a - She takes the shot
Suppose OffenseA has the ball and [b]decides to shoot[/b].[br][br][b]How much of the goal [/b]is covered by the goalkeeper's dilation?[br][b]Where[/b] does the dilation of DefenderA end up if we use this point as the center of our dilation?
2b - She passes
[b]Change the checkboxes so that OffenseB has the ball now.[/b][br][br]How did this change the images on the dilation? [br]Are they in the same spot as in 2a?[br][br][b]Describe[/b] how the images are positioned compared to the center of dilation.
2c - Other Observations
What other geometric properties ([b]angles[/b], [b]area[/b], [b]midpoints[/b], [b]parallel lines[/b]) did you find in the scenario?[br]Record your observations.
3. Revise
Now revisit your initial answer. [br][br]Would you change your advice from part 1, or make the same suggestion? [br][br][b]Justify [/b]your response with some of your observations from part 2.
________________________________________________________________________
4. Create
Design a different "Pass or shoot" scenario in the applet below. In the text box, explain who has the ball, which choice you'd recommend (pass or shoot), and why.
Soccer - 2v2 Example
[size=85]Inspired by eldenclessig's applet: [url=https://www.geogebra.org/m/nUv9PNZ3]https://www.geogebra.org/m/nUv9PNZ3[/url][br][br]Image credits: [br][br]SFSU Women's Soccer[br][url=https://commons.wikimedia.org/wiki/File:2012_SFU_Womens_Soccer_(7918527900).jpg]https://commons.wikimedia.org/wiki/File:2012_SFU_Womens_Soccer_(7918527900).jpg[/url][br]Defense[br][url=https://www.needpix.com/photo/download/946122/sport-running-morning-helth-challenge-sportswear-championship-champion-care]https://www.needpix.com/photo/download/946122/sport-running-morning-helth-challenge-sportswear-championship-champion-care[/url][br]Goalkeeper[br][url=https://publicdomainvectors.org/en/free-clipart/Handball-goalkeeper/59996.html]https://publicdomainvectors.org/en/free-clipart/Handball-goalkeeper/59996.html[/url][br]Field[br][url=https://www.thestranger.com/slog/2020/03/19/43193286/slog-am-no-new-infections-in-china-shoreline-soccer-field-is-now-a-hospital-playboy-is-likely-dead]Alena Paulus / Getty Images[/url][br]OffenseA[br][url=https://freesvg.org/1534935680]https://freesvg.org/1534935680[/url][br]OffenseB[br][url=http://www.publicdomainfiles.com/show_file.php?id=13548532815653]http://www.publicdomainfiles.com/show_file.php?id=13548532815653[/url][/size][br]