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 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 51 - 60 of 595: Return to Problem Corner Discipline(s): MathematicsResource Type(s): Content Supports — Activities and rich problems
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51
Tracing Time
ORC# 10130
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Several interrelated problems are posed to students. All involve the minute and hour hands of a clock and the path traced by the midpoint of the segment connecting the ends of the hands. Students begin by assuming that both hands are the same length and that the clock runs properly and shows the correct time....
52
Dart Throwing
ORC# 10131
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Students analyze a situation involving target selection to maximize their likelihood of scoring points in throwing darts. They analyze five different targets and are expected to use an area model for predicting theoretical results for throwing darts at individual targets....
53
The Mouse
ORC# 10132
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: A mouse runs diagonally across a large black-and-white tiled floor. How many tiles does it touch?...
54
Area of a Trapezoid
ORC# 10133
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: In the study of geometry, students pass quickly from deriving the formula for the area of a trapezoid from simpler figures to applying the formula in applications. This extended problem gives students the opportunity to look at several different ways in which the area formula for a trapezoid could have been derived....
55
ORC# 10134
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Materials expand and contract with hot and cold weather. Smart builders take this into account and incorporate expansion joints to compensate for how the various dimensions of a body may change with changing temperature....
56
Knights and Knaves
ORC# 10135
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
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....
57
Treasure Map
ORC# 10136
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: A treasure map has bizarre directions that seem a little vague but, indeed, locate a treasure accurately. Students construct examples on a worksheet to help them form a conjecture as to what is going on....
58
Finding the Height of a Lamp Pole
ORC# 10137
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Have students determine the height of a lamp pole, or some other large object, using trigonometric relationships. Then have students find the height of the object using just linear distance(s) and similar triangles....
59
Products of Reflections
ORC# 10138
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics