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5. Using Mathematics and Computational ThinkingIn science, mathematics and computationare fundamental tools for representing physicalvariables and their relationships. They areused for a range of tasks, such as constructingsimulations, statistically analyzing data, and recognizing,expressing, and applying quantitativerelationships. Mathematical and computationalapproaches enable predictions of the behavior ofphysical systems, along with the testing of suchpredictions. Moreover, statistical techniques areinvaluable for assessing the significance of patternsor correlations.In engineering, mathematical and computationalrepresentations of established relationshipsand principles are an integral part of design. Forexample, structural engineers create mathematicallybased analyses of designs to calculate whether theycan stand up to the expected stresses of use and ifthey can be completed within acceptable budgets.Moreover, simulations of designs provide an effectivetest bed for the development of designs and theirimprovement.
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