![]() ![]() This is why Jelly Belly, the company famous for their jelly beans, wants to employ you as a packaging engineer to remediate this problem. However, for items that are not easily crushed, like jelly beans, why would the company want to waste extra money on materials? Who has ever opened a bag of candy and thought “Darn, this package is only ¾ full! What a waste of materials!” Sometimes, that extra space is essential for items such as Doritos, as the air provides a type of cushion for the chips during the process of getting the chips from the manufacturers to the consumers. See the Mathematical Modeling - Linear Approximations lesson. ![]() An understanding of modeling an approximately linear situation with a line of fit. An understanding of representing data as a table and scatter plot. Linear Approximation Exit Ticket Answer Key (pdf) Visit [ to print or download.Īn understanding of linear functions - graphing, writing equations, and slope. Sealed Bottom Clear Plastic Round Tubes - SBT Series. ![]() Free sample request from ClearTec Packaging.9 cylindrical tubes of the same diameter (2.54 cm) and varying lengths (2.54 cm to 25.4 cm).Linear Approximation Entrance/Exit Ticket, one per student.Judgement with Jelly Beans Activity Handout, one per student.16 oz re-sealable bag - 49 Assorted Jelly Bean flavors, available at.1 oz bag of jelly beans (not necessary, but provides a nice reward for students who successfully complete the challenge) - one per student case of 30 available at.Document camera for student presentations (not necessary, but provides nice visual display of student work).MATLAB license (if applicable) or (free) to display student-data.16 oz re-sealable bag of Jelly Belly jelly beans (see “Each group needs” for details).cylindrical tube with 2.54 cm diameter and 30.28 cm height (see “To share with the entire class” for details).Apply lines of fit to make and evaluate predictions.Model an approximately linear situation.Investigate relationships between quantities by using points on scatter plots. ![]() In this activity, students more specifically explore how packaging engineers apply mathematical modeling to help determine optimal packaging for jelly beans and even offer a suggestion of linear approximation model to Jelly Belly’s logistics team to switch their packaging system from a net weight model to a model based on quantity and cost-effective packaging.Īfter this activity, students should be able to: Engineers follow the engineering design process while they work, and throughout this activity, the process of collecting data, creating a model, testing the model, and making necessary amendments to the model post-testing are applicable to the engineering design process. To accommodate for this, engineers use mathematical modeling to investigate the relationship between variables, which allows them to make an accurate prediction of situational outcomes. This engineering curriculum aligns to Next Generation Science Standards ( NGSS).Įngineers deal with real-world problems, and often in real-world problems, numbers and data do not follow a perfect model like they often do in a mathematics classroom. They then apply their predictions to make suggestions to Jelly Belly for potential packaging of jelly beans based on quantity instead of net weight. Students discuss the accuracy of their results and limitations in their model and data collection process. Students use their linear model to predict the number of Jelly Belly jelly beans that are in a similar cylindrical tube with a given height. Students plot their data, graph a linear approximation model, and write an equation representing their model. In this activity, students collect data to determine the number of Jelly Belly jelly beans it takes to fill up the respective tube. Students collect data and apply mathematical modeling, specifically linear approximation, to predict what will happen in a specific situation. ![]()
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