Ohio Resource Center

# Problem Corner

Browse all rich problems in mathematics:
 --Select a Topic-- Algebra - Patterns, sequences - Commutativity, associativity, other properties - Polynomials, Expressions - Equations - - Linear - - Quadratic - - Systems of equations - Graphing, usual coordinate system - Inequalities - Functions - - Linear - - Quadratic - - Non-linear (Exponential, Logarithmic, Step, etc.) - Trigonometry (including polar coordinates) Applications Assessment Calculus, pre-calculus Discrete mathematics - Permutations and Combinations Geometry - Plane Figures (2-D) - Solid Figures (3-D) - Area - Surface area, volume - Points, lines, segments, angles - Symmetry - Congruence - Similarity - Circles - Conic sections - Models, construction - Non-Euclidean geometry - Transformations (translations, rotations, reflections, dilations) Measurement - Length, distance, height - Weight, mass - Time - Money - Perimeter - Units, conversion Numbers and operations - Whole numbers (counting, operations) - Equivalence, comparing, ordering - Estimation - Fractions, rational numbers - Decimals - Integers - Percents - Exponents, roots - Real numbers - Complex numbers - Vectors and matrices Problem solving Ratio and proportional relationships Reasoning and proof Probability - Simple probability - Conditional probability - Decision making Statistics - Data display - Mean, median, mode - Data analysis, interpretation --Select a Grade-- Kindergarten 1 2 3 4 5 6 7 8 9 10 11 12
 Results 1 - 10 of 287: Return to Problem Corner Discipline(s): MathematicsGrade(s): 7Resource Type(s): Content Supports — Activities and rich problems
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1
Volumes Mathematically
ORC# 9750
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: How does one go about finding the volume of an irregular shape? Students get a preview of integral calculus as they compute volume of a solid as the sum of volumes of slices of the solid....
2
Volumes Experimentally
ORC# 9749
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: The purpose of this activity is to discover relationships among the volumes of simple solids such as cones, cylinders, pyramids, cubes, and spheres. A discussion of the underlying mathematical ideas is included....
3
The 3x+1 Problem
ORC# 9748
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Start with any whole number. Call it A. Find the next integer B in the following way: If A is odd, then B = 3A + 1; if A is even, then B = A/2....
4
Target Game
ORC# 9747
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Starting at 0, students take turns adding 1 or 2 until they reach 21; whoever hits 21 exactly is the winner. Students play this game and several variations, with a goal of discovering winning strategies....
5
Statistics Using Dice
ORC# 9746
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: What happens if you roll two dice many times? How can you analyze the results?...
6
Similar Triangles
ORC# 9743
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: What would be a reasonable definition of similarity? What are sufficient conditions that two triangles be similar?...
7
Round Robin Tournament
ORC# 9742
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Malabar Middle School is scheduling a round-robin tournament for six softball teams. In a round-robin tournament each team plays each other team exactly once....
8
Representation of Data -- The U.S. Census
ORC# 9741
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: The object of this activity is to study an excellent example of the presentation of data. Students analyze an illustration of the 1930 U.S....
9
Rainy Lake, aka Mirror Lake
ORC# 9739
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics