Sample Activities Demonstrating the Standards for Mathematical Practice

Problem 1 and Problem 2
  • Practice 1: Make sense of problems and persevere in solving them.
    Big Idea: Identify entry points to a solution
    Big Idea: Monitor Progress, change course if needed
  • Practice 3: Construct viable arguments and critique the reasoning of others.
    Big Idea: Use Previous Results
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  • Practice 2: Reason abstractly and quantitatively
    Student Behavior: Using a variety of concrete and visual representations to highlight quantities, relationships between quantities, and the underlying mathematical structure of a problem situation.
The Four Square Problem
  • Practice 1: Make sense of problems and persevere in solving them.
    Big idea: Identify entry points to a solution
    Big idea: Plan a solution pathway
    Big idea: Monitor Progress, change course if needed
    Big idea: Persevere
  • Practice 3: Construct viable arguments and critique the reasoning of others.
    Big idea: Listen and Critique; Students listen to the statements of others and ask clarifying or probing questions. They explore beyond what is presented to uncover the truth of what is being presented or argued and provide examples to support arguments or counterexamples to contrast arguments.
  • Practice 6: Attend to precision.
    Big idea: Use specific language/Communication
  • Practice 8: Look for and express regularity in repeated reasoning.
    Big idea: Look for repetition in calculations
 
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