A couple of weeks ago, I saw a tweet from Don Fraser (@DonFraser9) in which he noticed that every box of Raisin Bran says "2 scoops" no matter what it's size is.
I was recently talking with a teacher about the Percent, Ratio, and Rate unit for grade 8 math and I was reminded of Don's question. This deserved some additional investigation so I headed to the grocery store to gather the facts. At my local store, Kellogg's Raisin Bran is available in 3 sizes as seen below.
Questions to Consider
1. Rate: Which size box of cereal has the best unit price (g/$)?
2. Ratio: If there are two scoops in the regular size box, to preserve the same proportion of raisins, how many scoops should there be in the Family Size and Jumbo Size box? Alternatively, if the ideal proportion of raisins is to be found in a different size box, how many scoops should there be in the other two sizes?
3. Ratio: A "scoop" is a non-standard unit of measure. If the amount of raisins in each box stays the same proportion, then how should the size of the scoops change in order to maintain that proportion in each size box?
4. Volume: These boxes all have different volumes. Determine the volume of each and compare it to the weigh of cereal in that box. Does this rate stay the same? If it doesn't, what does it tell you about the amount of empty space in the box? How do the dimensions of each box compare? Are the different sized boxes similar shapes?
Some additional Raisin Bran resources:
Nova Scotia Mathematics Curriculum Outcomes
Grade 8 M03 - Students will be expected to determine the surface area of right rectangular prisms, right triangular prisms, and right cylinders to solve problems.
Grade 8 M04 - Students will be expected to develop and apply formulas for determining the volume of right rectangular prisms, right triangular prisms, and right cylinders.
Grade 8 N04 - Students will be expected to demonstrate an understanding of ratio and rate.
Grade 8 N05 - Students will be expected to solve problems that involve rates, ratios, and proportional reasoning.
Grade 9 SP03 - Students will be expected to develop and implement a project plan for the collection, display, and analysis of data by: formulating a question for investigation; choosing a data collection method that includes social considerations; selecting a population or a sample; collecting the data; displaying the collected data in an appropriate manner; drawing conclusions to answer the question.
Mathematics 12 MRP01 - Research and give a presentation on topic that involves the application of mathematics.