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Problem Corner

Browse all rich problems in mathematics:
Results 1 - 10 of 36:
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ohiorc.org/Discovery in the URL
Discipline(s): Mathematics
Resource Type(s): Content Supports — Activities and rich problems
View Results: 1-10 | 11-20 | 21-30 | 31-36
1
Coin Flips
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ORC# 9713
Resource Information
Resource URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-C...
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 5–11
Professional Commentary: In this inquiry activity, students are asked to determine whether a sequence of heads and tails was obtained by flipping a coin or by just making up a sequence of H's and T's. This investigation can be a starting point for exploring basic ideas of probability....
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2
License Plates
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ORC# 9723
Resource Information
Resource URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-L...
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 8–12
Professional Commentary: How many license plates can you make if they are each six digits long? This question opens an investigation into combinations and permutations....
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3
Making Maps
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ORC# 9728
Resource Information
Resource URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-M...
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 5–8
Professional Commentary: Students use scale factors to make a map of a small geographical feature. This activity can be followed by Finding Areas Using Maps....
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4
Monty Hall
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ORC# 9731
Resource Information
Resource URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-M...
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: 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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5
Permutations -- Counting
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ORC# 9735
Resource Information
Resource URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-P...
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: 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?...
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6
Pythagorean Theorem
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ORC# 9738
Resource Information
Resource URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-P...
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 6–10
Professional Commentary: This activity shows how cutting geometric shapes and rearranging the pieces leads to some standard area formulas and to the Pythagorean Theorem. Complete proofs are included....
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7
Rainy Lake, aka Mirror Lake
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ORC# 9739
Resource Information
Resource URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-R...
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 6–8
Professional Commentary: Students use a topographical map featuring a body of water, such as a lake, pond, or river, to figure out how much the level of the water would rise after a one-inch rainfall the previous night. An extension of the problem and a discussion of the underlying mathematical ideas are included....
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8
Similar Triangles
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ORC# 9743
Resource Information
Resource URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-S...
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 7–11
Professional Commentary: What would be a reasonable definition of similarity? What are sufficient conditions that two triangles be similar?...
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9
Simple Areas
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ORC# 9744
Resource Information
Resource URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-S...
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 3–6
Professional Commentary: The areas of what simple figures can be measured using copies of a selected unit square? Can rectangles be measured with unit squares?...
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10
Solomon's Solitaire
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ORC# 9745
Resource Information
Resource URL: http://www.ohiorc.org/orc_documents/orc/RichProblems/Discovery-S...
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 8–12
Professional Commentary: Here is a solitaire game. Start with a list of n 1's....
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