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Problem Corner

Browse all rich problems in mathematics:
Results 1 - 10 of 55:
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Discipline(s): Mathematics
Resource Type(s): Content Supports — Activities and rich problems
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1
Bungee Jumping With Toys
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ORC# 9937
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=14
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 8–12
Professional Commentary: Students determine the length of a bungee cord made of rubber bands that will allow a toy doll to fall as close as possible to the ground without hitting it. Teams of students collect data using cords of varying lengths up to 6 or 8 rubber bands....
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2
Hollywood Box Office
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ORC# 10112
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=62
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Students investigate the average earnings of a movie in a given week using data they collect from web or print resources. In this investigation, students use the measures of center and different graphical displays of the data to make an argument that each of the measures of center may be appropriate, providing an explanation for their...
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3
What Is the Average Birth Month?
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ORC# 10113
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=37
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Students are asked to find the average birth month. Analysis of the data and examination of just what “average” means in the case of months leads to the mode being selected as the best way to find an "average" with categorical data....
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4
Exploring Variables and Real Numbers
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ORC# 10115
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=44
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 6–8
Professional Commentary: This set of questions is intended to give the teacher and students an appraisal of the level of individual students' understanding of variable expressions and the relationship of numbers to the number line. These questions provide a rich opportunity for students to explore ideas about number and variable in a thought-provoking context....
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5
Jeopardy Algebra
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ORC# 10122
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=12
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 6–12
Professional Commentary: In the game of Jeopardy the answer is given and the contestant must supply the question. In Jeopardy Algebra the solution of an equation is given, and students must write an equation and then solve it to get the given solution....
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6
Linearity in the World Around Us
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ORC# 10123
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=17
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 8–10
Professional Commentary: Several real-world situations motivate the study of linear functions, their parameters, and behaviors. The contextual situations lead to the abstraction of function and provide tools for understanding and long-term memory....
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7
The Commuter
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ORC# 10124
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=46
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 8–10
Professional Commentary: This problem, at first blush, looks like a fairly typical distance-rate-time problem and is a good one to pose after students have worked a few DRT problems. Drawing a diagram will help the students reason out the solution....
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8
Recursive Explorations With Number Cycles
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ORC# 10125
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=68
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: A number cycle is a repeating number pattern. For instance, the sequence 1, 3, 5, 7, 1, 3, 5, 7, 1, 3, 5, 7 ....
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9
Pizza Crusts and Painted Cubes
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ORC# 10126
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=47
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Students use inductive reasoning to generalize a rule for the number of pieces of pizza cut from square pizzas that have crust on 0 sides, 1 side, or 2 sides. Using area, students can confirm the resulting polynomial is correct....
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10
Functions Derived From Data
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ORC# 10127
Resource Information
Resource URL: http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=41
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Grades: Grades 9–12
Professional Commentary: Scientists who study real-world relationships often gather numerical data as an integral part of the scientific process. The business person will do the same thing before making a decision that has monetary ramifications....
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