• Here is a student worksheet to help with the common math practices.  
    Click here to download the worksheet.

    School:                                                   Teacher(s):                                                                              Course/Period:                                          Start/End Times:


    Mathematical Topic(s):


    1.  Make sense of problems and perseveres in solving them

    2. Reason abstractly and quantitatively

    3. Construct viable arguments and critique the reasoning of others

    4. Model with mathematics.

    Understand the meaning of the problem and look for entry points to its solution

    Analyze information (givens, constrains, relationships, goals)

    Make conjectures and plan a solution pathway

    Monitor and evaluate the progress and change course as necessary

    Check answers to problems and ask, “Does this make sense?”





    Make sense of quantities and relationships in problem situations

      Represent abstract situations symbolically and understand the meaning of quantities

      Create a coherent representation of the problem at hand

    Consider the units involved

    Flexibly use properties of operations





    Use definitions and previously established causes/effects (results) in constructing arguments

    Make conjectures and use counterexamples to build a logical progression of statements to explore and support their ideas

    Communicate and defend mathematical reasoning using objects, drawings, diagrams, actions

    Listen to or read the arguments of others

    Decide if the arguments of others make sense and ask probing questions to clarify or improve the arguments







    Apply prior knowledge to solve real world problems

    Identify important quantities and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas

    Make assumptions and approximations to make a problem simpler

    Check to see if an answer makes sense within the context of a situation and change a model when necessary





    5. Use appropriate tools strategically.


    6. Attend to precision.

    7. Look for and make use of structure.

    8. Look for and express regularity in repeated reasoning

    Make sound decisions about the use of specific tools. Examples might include:


    Concrete models

    Digital Technology


    Ruler, compass, protractor

    Use technological tools to visualize the results of assumptions, explore consequences and compare predications with data

    Identify relevant external math resources (digital content on a website) and use them to pose or solve problems

    Use technological tools to explore and deepen understanding of concepts






    Communicate precisely using clear definitions

     State the meaning of symbols, carefully specifying units of measure, and providing accurate labels

     Calculate accurately and efficiently, expressing numerical answers with a degree of precision

     Provide carefully formulated explanations

     Label accurately when measuring and graphing




    Look for patterns or structure, recognizing that quantities can be represented in different ways

    Recognize the significance in concepts and models and use the patterns or structure for solving related problems

    View complicated quantities both as single objects or compositions of several objects and use operations to make sense of problems





    Notice repeated calculations and look for general methods and shortcuts

    Continually evaluate the reasonableness of intermediate results (comparing estimates) while attending to details and make generalizations based on findings







    Additional notes:



    Non-evaluative visitor(s):   _________________________________________________________________________________________   Date: ___________________________________________________________