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Problem Corner
Browse all rich problems in mathematics:
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| View Results: 1-10 | 11-20 | 21-30 | 31-40 | 41-50 | 51-60 | 61-70 | 71-80 | 81-90 |
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1 | Knights and Ladies of the Roundtable |
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2 | 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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3 | 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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4 | How to Fix an Unfair Game |
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5 | 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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6 | 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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7 | 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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8 | Let’s Go on a Penny Walk |
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9 | Knights and Knaves |
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ORC# 10135 |
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| RESOURCE URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=29 |
| RESOURCE TYPE: Rich Problem, Inquiry, or Exploration |
| DISCIPLINE: Mathematics |
| STANDARDS ALIGNMENT: Grades 8 - 12 |
| PROFESSIONAL COMMENTARY: This problem is the best-known simple example of a knight-knave problem, in which you come to a fork in the road and you do not know which way to go. In one direction lies happiness, in the other, disaster.... |
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10 | The Cereal Box Problem |
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ORC# 10142 |
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| RESOURCE URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=57 |
| RESOURCE TYPE: Rich Problem, Inquiry, or Exploration |
| DISCIPLINE: Mathematics |
| STANDARDS ALIGNMENT: Grades 8 - 12 |
| PROFESSIONAL COMMENTARY: Students explore the Cereal Box Problem first by estimating an answer, then modeling the problem with manipulatives and collecting data for the class, and finally using a computer program to model the problem and determine the theoretical expected value. This mathematically rich problem was prepared by the Ohio Resource Center to accompany the Mathematics Program Models for Ohio High Schools developed by the Ohio Department of Education.... |
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| View Results: 1-10 | 11-20 | 21-30 | 31-40 | 41-50 | 51-60 | 61-70 | 71-80 | 81-90 |
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