Art of Problem Solving www.artofproblemsolving.com Resources for high-performing math students and their teachers David Patrick patrick@artofproblemsolving.com June 20‚ 2012 Bay Area Circle for Teachers David Patrick (AoPS) www.artofproblemsolving.com BACT 2012 1 / 12 History www.artofproblemsolving.com Founded in 2003 Created to provide resources and a community for high-performing math students and their teachers and parents. David Patrick (AoPS) www.artofproblemsolving
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resourceful is the ability to approach a problem in different ways. It requires the ability to be creative and pursue a solution from one or more than direction. It is not built in ability but it is learned overtime from the variety of experiences. To be able to develop this into our children‚ they should be exposed to a situation that requires them to be resourceful and that will provide them the opportunity to succeed. Kids will self-confident and acquire problem solving skills as a result of engaging
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hall. Before leaving‚ he noticed that the professor has written two mathematical problems on the white board. Therefore‚ he wrote them down in his notebook and left the hall. When he came back home‚ he started solving those problems. They were very hard. Therefore‚ he went to the university’s library‚ picked up some references and started working them out again. After 4 days‚ he was able to solve the first problem but he was feeling very angry with his professor for giving them such a hard assignment
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SOLVING ENVIRONMENTAL PROBLEMS Performance Standard (16EUS/17B).C Draw a picture of an environmental problem in the community and a picture of a possible solution(s) and write a short explanation of the importance of the solution(s) for the community: • Knowledge: identify a community environmental problem and possible solutions; • Comprehension: analyze the connection between the problem and the solutions and the importance of it to the local community; and • Communication: draw a picture that is
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LEARNING OUTCOME 1 WE ARE ALWAYS LOOKING FOR SOLUTIONS PROBLEM – SOLVING TECHNIQUE UNDERSTANDING OBSERVATION IDEATION PROTOTYPING Understanding IDENTIFY • ISSUE HAS TO BE IDENTIFIED • ASK QUESTIONS TO KNOW BETTER : + is the issue really a problem ? + how does it help if the issue is solved? + is it worth the time & money to solve it? + is it be profitable? • Understanding is not restricted to only identifying the issue. • It can even be a technique for
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PROBLEM SOLVING QUESTIONS (4 points per question) 1. Below are the 2007 and 2008 year-end balance sheets for Tran Enterprises: Assets: 2008 2007 Cash $ 200‚000 $ 170‚000 Accounts receivable 864‚000 700‚000 Inventories 2‚000‚000 1‚400‚000 Total current assets $3‚064‚000 $2‚270‚000 Net fixed assets 6‚000‚000 5‚600‚000 Total assets $9‚064‚000 $7‚870‚000 Liabilities and equity: Accounts payable $1‚400‚000 $1‚090‚000 Notes payable 1‚600‚000 1‚800‚000 Total current liabilities
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Biehler Writing assignment 2 Building a New Nation Once the war was over and America became its own country they had to then come up with a government system. The state leaders had already come up with state constitutions that their state followed and when the states were putting together a national constitution they used most of what the states had already established to come up with the bill of rights. When the people gave powers to the governors they were very fearful of giving them too much power
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The Articles of Confederation established a “firm league of friendship” among the States. Each state kept its own freedom‚ but they came together for a common defense‚ security‚ and general welfare. The Articles did not go into effect right away because the ratification‚ formal approval of each state‚ was needed first. (Crouse‚ Kaitlyn. “Constitution” October 2017. Slide #18) Also‚ the states constantly bickered during the 1780s. The were jealous of each other‚ refused to support a central government
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Changes New World Ch. 2‚ Sec. 1 & 2 Week 2 01.05 British Colonies Evolve into Three Regions Ch. 2‚ Sec. 4 01.06 Slavery Comes to America 01.07A Module One Review and Exam 01.07B Discussion Based Assessment Week 3 02.00 Module Introduction and Checklist 02.01 Mercantilism and Plantation Economies. Ch. 3‚ Sec. 1 & 2 02.02 The French and Indian War Ch. 3‚ Sec. 3 & 4 02.03 Britain Cracks Down‚ the Colonies Rebel Ch. 4‚ Sec. 1 02.04 Declaring
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Amber Scoubes Mr. Burton English 1010‚ Period B-2 12-17-2013 Solving a Local Problem The Hazards of Driving Many people take for granted their ability to drive. When we drive‚ we are putting ourselves in dangerous situations. At some point‚ one small mistake in judgement can cause serious injury or even death to another person. This is a power no human should yield. The only reason that driving is necessary is to better our lives and to make things much simpler and easier to do. Driving is
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