Resource Type: Rich Problem, Inquiry, or Exploration Discipline: Mathematics Ohio Standards Alignment: Grades 6–8 Professional Commentary: There are 28 students in your classroom. On Valentine's Day, every student gives a valentine to each of the other students.... 2 Area and Volume in 3D -- Can't Have One Without the Other! Resource Type: Rich Problem, Inquiry, or Exploration Discipline: Mathematics Ohio Standards Alignment: Grades 5–8 Professional Commentary: Every three-dimensional solid has both a volume and a surface area. Students explore the relationships between volume and surface area by constructing different solids from a given number of cubes.... 3 Boxes and Cats: Statistics From the Beginning Resource Type: Rich Problem, Inquiry, or Exploration Discipline: Mathematics Ohio Standards Alignment: Grades 5–8 Professional Commentary: Q. Why is a box like a cat? A. Both have whiskers.... 4 Can You Really Get There From Here? Resource Type: Rich Problem, Inquiry, or Exploration Discipline: Mathematics Ohio Standards Alignment: Grades 7–12 Professional Commentary: You are at an airport on the West coast of a long, narrow country. The country extends lengthwise to the East coast, and there are intermediate airports lined up along the way.... Resource Type: Rich Problem, Inquiry, or Exploration Discipline: Mathematics Ohio Standards Alignment: 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.... 6 Data Analysis -- Leading Digits Resource Type: Rich Problem, Inquiry, or Exploration Discipline: Mathematics Ohio Standards Alignment: Grades 6–8 Professional Commentary: How many of the numbers in a set of data have a leading digit of 1 and how many have a final digit of 1? An extension of the problem and a complete discussion of the underlying mathematical ideas are included. This mathematically rich problem was originally developed for the Project Discovery Mathematics by Inquiry institutes for middle grades teachers taught in 1992 - 1994 at Ohio State University.... 7 Finding Areas Using Maps Resource Type: Rich Problem, Inquiry, or Exploration Discipline: Mathematics Ohio Standards Alignment: Grades 6–8 Professional Commentary: Students find the area of a natural feature, such as a lake or forest, using a map and the scale of the map. A discussion of the underlying mathematical ideas is included.... Resource Type: Rich Problem, Inquiry, or Exploration Discipline: Mathematics Ohio Standards Alignment: Grades 6–8 Professional Commentary: Suppose you have some square ceramic tiles that you will lay for a floor. When you put them down, you will leave a little space between them to fill with grout.... 9 How to Fix an Unfair Game Resource Type: Rich Problem, Inquiry, or Exploration Discipline: Mathematics Ohio Standards Alignment: Grades 6–12 Professional Commentary: Michelle and Jim wager on picking colored chips out of a bag. In the bag are two black chips and one red one.... Resource Type: Rich Problem, Inquiry, or Exploration Discipline: Mathematics Ohio Standards Alignment: Grades 8–12 Professional Commentary: Standing on one side of a river, how can you measure its width? This very open-ended problem challenges students to determine the distance between two points, one of which is inaccessible, using only indirect measurement and no modern tools. How to proceed with such an investigation is carefully set out and three possible solutions are fully illustrated and explained.... |