AQR.MATH.2.H

Select and apply an algorithm of interest to solve real-life problems such as problems using recursion or iteration involving population growth or decline, fractals, and compound interest; the validity in recorded and transmitted data using checksums and hashing; sports rankings, weighted class rankings, and search engine rankings; and problems involving scheduling or routing situations using vertex-edge graphs, critical paths, Euler paths, and minimal spanning trees and communicate to peers the application of the algorithm in precise mathematical and nontechnical language.

Advanced Quantitative Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
algorithmrecursioniterationpopulation growthpopulation declinefractalscompound interestvalidityrecorded datatransmitted datachecksumshashingsports rankingsweighted class rankingssearch engine rankingsschedulingrouting situationsvertex-edge graphscritical pathsEuler pathsminimal spanning treesapplicationprecise mathematical languagenontechnical language
Skills
  • select (an algorithm of interest appropriate for the real-life problem) #dok2
  • apply (selected algorithm to real-life problems such as recursion, iteration, ranking, or routing situations) #dok3
  • solve (real-life problems using selected algorithm) #dok3
  • communicate (the application of the algorithm in precise mathematical and nontechnical language) #dok3
Learning Targets
  • I can identify situations where algorithms such as recursion, iteration, or ranking are applicable. #dok1
  • I can select an algorithm that is appropriate for a specific real-life problem. #dok2
  • I can explain why a particular algorithm is suited to a specific problem. #dok2
  • I can apply recursion or iteration to solve problems involving population changes or compound interest. #dok3
  • I can use algorithms for ranking or scheduling (like vertex-edge graphs or minimal spanning trees) to solve applied problems. #dok3
  • I can communicate how and why I used an algorithm to solve a problem, using both mathematical and everyday language. #dok3
Big Ideas
  • Algorithms such as recursion, iteration, and vertex-edge graphs are powerful tools to solve a wide variety of real-life problems, from ranking systems to routing and scheduling.
  • Communicating both the selection and use of algorithms in precise and accessible language is essential for sharing mathematical understanding with diverse audiences.
Essential Questions
  • How do you determine which algorithm is most appropriate for a particular real-life problem?
  • Why might recursion or iteration be useful in modeling population growth, fractals, or compound interest?
  • How can mathematical algorithms be used to solve complex ranking, scheduling, or routing issues efficiently?
  • In what ways can you communicate your mathematical reasoning for algorithm selection and application to both technical and nontechnical audiences?
  • What are some limitations or potential misapplications when using algorithms to solve real-world problems?