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 - 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 121 - 130 of 636: Return to Problem Corner Discipline(s): MathematicsResource Type(s): Content Supports — Activities and rich problems
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121
Fireworks: The Localized Big Bang
ORC# 10144
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Commercial fireworks must be carefully timed to ignite as intended. The process involves projectile motion that can be modeled with the quadratic function (ignoring air resistance), as found in the study of dynamics in physics: h = –16t2 + v0t + h0....
122
ORC# 10145
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Students begin by graphing data points presented in unusual formats. They then construct the graph that fits those points. Using a creative technique, they are able to find the function rule that relates the data points even when the function is not a simple linear relationship....
123
If They Test Positive, Are They Using Drugs?
ORC# 10147
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: In this problem, students develop a mathematical model that enables them to determine the fraction of the population that is using performing-enhancing substances based upon the parameters of the testing, parameters of the population, and the fraction of the tests that have positive results. From this, they can help determine whether or not authorities should test...
124
Caffeine in the Body: Get the Lead Out
ORC# 10148
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Students explore the use of exponential decay models in the context of eliminating caffeine and lead from the body. The problem starts with generalizing the relationship between time and the amount of chemical left in the body to writing an explicit rule and connecting it to the graphical representation....
125
E. coli Bacteria: Can't Live Without Them
ORC# 10149
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: This problem uses a contextual situation of E. coli bacteria in the stomach....
126
ORC# 10150
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Land has been donated to River City. Students must decide how to split the land use between development and recreation in a way that will minimize the cost to the city of the necessary improvements, while adhering to restrictions agreed on by the River City Council....
127
Riding a Ferris Wheel Has Its Ups and Downs
ORC# 10152
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: This problem relates the circular motion of a point on a Ferris wheel to its up-and-down motion relative to the ground. Students can measure the height of a particular point as the Ferris wheel rotates, plot the height versus time, and observe that the graph resembles that of a sine function....
128
When Will We See the Comet Again?
ORC# 10153
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics
Professional Commentary: Students investigate the trajectories of comets, which in almost all cases are elliptical. They study what they would need to know to determine the equation of a comet’s orbit or trajectory....
129
Vectors, a Weight, and a Piano
ORC# 10154
Resource Information
Resource Type: Content Supports -- Activities and rich problems
Discipline: Mathematics