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1 | Outel Semiconductor: Recruiting Circuit |
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ORC# 1213 |
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| RESOURCE URL: http://www.hsor.org/modules.cfm?name=Outel_Semiconductor |
| RESOURCE TYPE: Instructional Resource -- Best Practice |
| DISCIPLINE: Mathematics |
| STANDARDS ALIGNMENT: Grades 8 - 12 |
| PROFESSIONAL COMMENTARY: Students explore a variation of the traveling salesman problem based on cost: What is the cheapest path through a network that will hit all nodes and return to the starting point? Activity sheets guide students through a brute-force approach and then a nearest-neighbor algorithm to find the cheapest route for a college recruiter to follow in visiting several cities. Students discover that the brute-force method always provides the optimal solution but is too inefficient to use in most applications.... |
| CAREER FIELDS: Construction Technologies, Finance, Hospitality & Tourism, Manufacturing Technologies, Transportation Systems, General Career Skills |
| PROJECTS: Standards First |
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2 | Congruent Triangles--Is This Enough Information? |
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ORC# 6043 |
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| RESOURCE URL: http://www.learningpt.org/pdfs/mscLessonPlans/dotson.pdf |
| RESOURCE TYPE: Instructional Resource -- Promising Practice |
| DISCIPLINE: Mathematics |
| STANDARDS ALIGNMENT: Grade 7 |
| PROFESSIONAL COMMENTARY: Students explore triangle congruence conditions as they work to solve a real-world problem. They use Geometer's Sketchpad to apply congruence criteria.... |
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3 | Classic Middle-Grades Problems for the Classroom |
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ORC# 1157 |
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| RESOURCE URL: http://illuminations.nctm.org/index_d.aspx?id=264 |
| RESOURCE TYPE: Instructional Resource -- Best Practice |
| DISCIPLINE: Mathematics |
| STANDARDS ALIGNMENT: Grades 5 - 8 |
| PROFESSIONAL COMMENTARY: This site focuses on the genre of problems in which successive fractional parts of a set are removed, and the size of the original set is determined from the final remainder. Four ways of solving such problems are illustrated and discussed.... |
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4 | Knights and Ladies of the Roundtable |
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5 | License Plates |
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ORC# 9723 |
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| RESOURCE URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-L... |
| RESOURCE TYPE: Rich Problem, Inquiry, or Exploration |
| DISCIPLINE: Mathematics |
| STANDARDS ALIGNMENT: Grades 8 - 10 |
| PROFESSIONAL COMMENTARY: How many license plates can you make if they are each six digits long? This question opens an investigation into permutations. Variations on the question are offered (including solutions) and a final, more complex problem extends the challenge.... |
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6 | Madrigal Singing at Choir Practice |
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ORC# 9725 |
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| RESOURCE URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-M... |
| RESOURCE TYPE: Rich Problem, Inquiry, or Exploration |
| DISCIPLINE: Mathematics |
| STANDARDS ALIGNMENT: Grades 8 - 10 |
| PROFESSIONAL COMMENTARY: In your choir there are 6 singers who are boys and 6 who are girls. How many ways are there to choose 4 boys and 4 girls to form a smaller group to sing madrigals? Extensions of the problem and a complete discussion of the underlying mathematical ideas are included.... |
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7 | How to Fix an Unfair Game |
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8 | Monty Hall |
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ORC# 9731 |
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| RESOURCE URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-M... |
| RESOURCE TYPE: Rich Problem, Inquiry, or Exploration |
| DISCIPLINE: Mathematics |
| STANDARDS ALIGNMENT: Grades 9 - 12 |
| PROFESSIONAL COMMENTARY: Here is the classic Monty Hall problem: Before you are three closed doors. Behind one of the doors is an all-expense paid trip to anywhere in the world.... |
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9 | Permutations -- Counting |
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ORC# 9735 |
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| RESOURCE URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-P... |
| RESOURCE TYPE: Rich Problem, Inquiry, or Exploration |
| DISCIPLINE: Mathematics |
| STANDARDS ALIGNMENT: Grades 8 - 12 |
| PROFESSIONAL COMMENTARY: Suppose you have some objects that you want to line up in a row. In how many different ways can you do it? Extensions of the problem and a complete discussion of the underlying mathematical ideas are included.... |
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10 | Probability Using Dice |
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ORC# 9737 |
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| RESOURCE URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-P... |
| RESOURCE TYPE: Rich Problem, Inquiry, or Exploration |
| DISCIPLINE: Mathematics |
| STANDARDS ALIGNMENT: Grades 4 - 8 |
| PROFESSIONAL COMMENTARY: What are the probabilities of rolling various sums with two dice? How can you analyze this situation? Extensions of the problem and a complete discussion of the underlying mathematical ideas are included. This mathematically rich problem was originally developed for the Project Discovery Mathematics by Inquiry institutes for middle grades teachers taught in 1992 - 1994 at Ohio State University.... |
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