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Math Practices

  1. Make sense of problems and persevere in solving them.

    • Essential Question: How can what is known help determine where to begin or what to do next when solving a problem?

    • Big Idea: Solving a mathematical problem involves making sense of what is known and applying a thoughtful and logical process which sometimes requires perseverance, flexibility, and a bit of ingenuity.

  2. Reason abstractly and quantitatively.

    • Essential Question: How can both concrete and abstract reasoning help the solution process?

    • Big Idea: The concrete and the abstract can complement each other in the development of mathematical understanding; representing a concrete situation with symbols can make the solution process more efficient, while reverting to a concrete context can help make sense of the abstract symbols

  3. Construct viable arguments and critique the reasoning of others.

    • Essential Question: How can mathematical reasoning be supported?

    • Big Idea: A well-crafted argument/critique requires a thoughtful and logical progression of mathematically sound statements and supporting evidence

  4. Model with mathematics.

    • Essential Question: How can a mathematical model help the solution process?

    • Big Idea: Many everyday problems can be solved by modeling the situation with mathematics.

  5. Use appropriate tools strategically.

    • Essential Question: What makes a tool the “best” tool for the task?

    • Big Idea: Strategic choice and use of tools can increase reliability and precision of results, enhance arguments, and deepen mathematical understanding.

  6. Attend to precision.

    • Essential Question: What makes work clear and precise so that results are reliable and communicated effectively?

    • Big Idea: Attending to precise detail increases reliability of mathematical results and minimizes miscommunication of mathematical explanations.

  7. Look for and make use of structure.

    • Essential Question: How can identifying a pattern or structure help the solution process?

    • Big Ideas: Recognizing a structure or pattern can be the key to solving a problem or making sense of mathematical ideas.

  8. Look for and express regularity in repeated reasoning.

    • Essential Question: How can recognizing repetition or regularity help solve problems more efficiently?

    • Big Ideas: Recognizing repetition or regularity in the course of solving a problem (or series of similar problems) can lead to results more quickly and efficiently

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