DISCM.MATH.1.C

Select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems.

Discrete Mathematics for Problem Solving · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
toolsreal objectsmanipulativespaper and penciltechnologytechniquesmental mathestimationnumber senseproblems
Skills
  • select (tools for problem solving) #dok2
  • select (techniques for problem solving) #dok2
  • apply (real objects, manipulatives, paper and pencil, technology to problems) #dok3
  • apply (techniques such as mental math, estimation, number sense to problems) #dok3
  • justify (the appropriateness of selected tools or techniques) #dok3
Learning Targets
  • I can identify different tools and techniques used in mathematics. #dok1
  • I can recall examples of manipulatives, technology, and mental math strategies. #dok1
  • I can explain when to use specific tools (such as manipulatives, real objects, or technology). #dok2
  • I can compare the effectiveness of various techniques, including estimation and number sense, for solving problems. #dok2
  • I can select appropriate tools and techniques to solve mathematical problems in different situations. #dok2
  • I can apply a selected tool or technique to successfully solve a problem. #dok3
  • I can justify my choice of tool or technique and explain why it is appropriate for the given problem. #dok3
  • I can evaluate the effectiveness of the tools and techniques I chose after solving a problem. #dok3
Big Ideas
  • The choice of mathematical tools and techniques can greatly impact the success and efficiency of problem solving.
  • Understanding the strengths and limitations of various tools and techniques allows students to select the most appropriate method for a given problem.
Essential Questions
  • What factors affect your decision when choosing a mathematical tool or technique to solve a problem?
  • How do different tools and techniques help you understand and solve problems in mathematics?
  • When might technology be more useful than paper and pencil, or vice versa?
  • In what situations do mental math or estimation provide advantages over more formal methods?
  • How can you evaluate whether a selected tool or strategy was effective after solving a problem?