A Blizzard of a Value

Have you ever wondered which blizzard size is the best value? Ms. Bosetti and her class were determined to answer this question. This question is all about modeling with mathematics. The “model with mathematics” text within the Common Core’s Standards for Mathematical Practice states: “Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace” (CCSSI 2010, p. 7). This focuses on engaging students with problem solving that is focused on realistic situations. Students LOVE ice cream, so who wouldn't be excited to complete this problem? Modeling with mathematics brings up two key instructional questions: What should students engaged in modeling with mathematics be doing? and What should teachers do to promote modeling with mathematics? Ms. Bosetti decided to do a practice run first with her colleagues. They completed an airplane problem and decided that modeling with mathematics had three parts: presenting students with a realistic problem, talking with and about math representations, and re-examining math models after receiving feedback. The class was then ready to start the Dairy Queen Dilemma. Ms. Bosetti first presented the problem to the students. Students worked in groups of 3 or 4 and were just given the problem, the 4 different size cups, and a measuring tape. They worked with there group and had to come up with a ratio explaining which size blizzard was the best value. After given plenty of time to work, each group presented their work to the class. Multiple strategies were used to solve the problem such as: tables, pictures, and graphs. Students had to explain their reasoning for the solution they came up with and the class was allowed to ask them questions. Ms. Bosetti then let them go back to their groups and re-examine their solution. I believe that modeling with mathematics is a great strategy to incorporate into the classroom. It will keep students engaged because the will be working on realistic problems. It also teaches students that there was multiple strategies to solve problems and there may actually be more than one possible answer to a problem. It teaches students how to use appropriate tools to solve problems and makes them think abstractly. I enjoyed this article and will use modeling in my future classroom!


Bostic, J. (15). A Blizzard of a Value. Mathematics Teaching in the Middle School, 20(6), 350-357. Retrieved June 15, 2015.