At what time does the ball reach the maximum height? Ask students to discuss the mathematics that players may use to track and maximize their performance. It seems that the shorter players must try harder. The difference was that the 90 percent players were being consistent at the right shot - the best trajectory. Explain that in the activity, students should use the Fast Break Facts for information about the three key variables and Elton’s stats to figure out the maximum height the ball reaches on its way into the basket when making a free throw shot. Still feeling confused? But his model also points to some less obvious conclusions. At a release height of 7 feet, the gap between the ball and the back of the ring should be less than 2 inches. For the most part, we discovered things that … Conventional wisdom would indicate that team A's best prescription for success would be to shoot twice as often as B. Ask students to discuss how they selected the equation and graphs used, and how they calculated the values for time and height using each set of player stats. You can play these games alone on the computer or in two teams. Larry M. Silverberg does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their academic appointment. Expecting a player to judge whether to shoot or wait for a better setup requires split-second decision-making that not everyone can do, he adds. (NBA teams must shoot within 24 seconds of possessing the ball, whereas men's college basketball teams have 35 seconds.). Basically, the back of the rim is more forgiving than the front of the rim. For the most part, we discovered things that the players and coaches already knew – but every so often, we came across a new insight. We learned how to turn large numbers of trajectories into statistical probabilities. Why is it useful to represent real-life situations algebraically? Because of the money at stake, professional teams are also reluctant to share data that might be compared with the models, Skinner says. At 52 degrees, the shooter can be off a degree or more either way without a large effect on the shot’s success. Ask students to complete the handout as they explore the online challenges. "They don't want to comment on what they've found in their research. Clarify and discuss the directions. "When you're a nerd, you can't turn it off.". So there we have it, 50 IB Maths IA topic ideas to give you a head-start for attacking this piece of IB coursework! (, Explain that today’s lesson features video segments and web interactives from. We found that about 3 hertz of backspin is the best amount; more than that does not help. ", In his own pickup basketball games, Skinner says he's always thinking whether the best player is shooting too much or whether the worst player should shoot more. Math offers a unique perspective. Ask students to brainstorm how they think mathematics might be used in the sport. IB Math SL IA are exploration and IB Math Studies IAs are more like a project. Begin with a brief discussion about sports. Explain that the students will now have an opportunity to solve the problem, which involves using the Fast Break Stats for information about the three key variables (acceleration of gravity, initial vertical velocity, release height) and Elton’s stats. It speeds up the amount of time it takes to see the patterns behind the best shots. As students complete the challenge, encourage them to use the following 6-step mathematical modeling cycle to solve the problem: How can you combine the three key variables: acceleration of gravity, initial vertical velocity, and release height, to determine the maximum height of the basketball? Assess deeper understanding: Ask your students to reflect upon and write down their thoughts about the following: How did you determine an effective strategy for solving the challenges in this lesson? ‘Myopic’ funding cuts may force Mexican scientists to leave major international organizations, Newly discovered reef is taller than a skyscraper, Ultrawhite paint could cool buildings and combat climate change, You may have a new organ lurking in the middle of your head, Pig fat can be used to grow jawbones for humans, This tiny device harvests energy from a simple breeze, Efforts to control monkey brains get a boost, Edit reviews without permission? During the discussion, ask students to share their thoughts about how algebra can be applied to the world of sports. Ask students to work in pairs or small groups to complete the “Math in Basketball: Take the challenge” handout. Prior to teaching this lesson, you will need to: Ongoing Assessment: Ask students to reflect upon the following: This website is no longer actively maintained, Some material and features may be unavailable, Math in Basketball: See how the teams solved the challenge, Math in Basketball: Try other basketball challenges, “Math in Basketball: Take the challenge” activity, Computer, projection screen, and speakers (for class viewing of online/downloaded video segments), One copy of the “Math in Basketball: Take the challenge” answer key (, One copy of the “Math in Basketball: Try other basketball challenges” answer key (, One copy of “Math in Basketball: Take the challenge” handout (, One copy of the “Math in Basketball: Try other basketball challenges” handout (, Rulers, grid paper, chart paper, whiteboards/markers, overhead transparency grids, or other materials for students to display their math strategies used to solve the challenges in the Learning Activities, Colored sticker dots and markers of two different colors (optional), Computers with internet access for Learning Activities 1 and 2 (optional). In the new paper, Skinner wanted to see if his model could predict the best time to take a shot. I did my IA on the use of mathematics in the courtroom, as I aspire to be a lawyer and find doing work on an area I am extremely passionate about to be both interesting and manageable. mathematical guidance for the best time to take aim, every equation and variable from traffic theory could be reassigned and interpreted as a description of a basketball game, Founder of geometric analysis honored with Abel Prize, This dizzying labyrinth will host next year’s party for math’s ‘Nobel’ prize, Skepticism surrounds renowned mathematician’s attempted proof of 160-year-old hypothesis. The following are examples of HL/SL IAs based on the current mark scheme with grader comments. What are some ways to represent, describe, and analyze patterns that occur in our world? After students have completed the activity, ask students to share their solutions and problem-solving strategies with the class through discussion and visual materials, such as chart graph paper, grid whiteboards, overhead transparency grids. Bookmark all websites you plan to use in the lesson on each computer in your classroom.
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