Vertical Articulation of Individual
Grade Expectations for Mathematics
Vermont‘s Framework of Standards and Learning Opportunities 

Standard 2.5: Mathematical Dimensions,

Standard 7.10: Mathematical Problem Solving and Reasoning—Applications

 M1,M2,M3,M4,M5,M6,M7, M8: 30 Demonstrate understanding of mathematical problem   
             solving² and communication through:³
           • Approach & Reasoning—The reasoning, strategies, and skills used to solve the    
              problem;

    • Connections—Demonstration of observations, applications, extensions, and
              generalizations;

    • Solution—All of the work that was done to solve the problem, including the answer;

    • Mathematical Language—The use of mathematical language in communicating the
               solution;

    • Mathematical Representation—The use of mathematical representation to
              communicate the solution; and

    • Documentation—Presentation of the solution.

²Problem-solving situations are mathematical problems that reflect the levels of mathematics in the Grade Level Expectations.

³See Vermont Elementary and Middle Level Mathematics Portfolio Scoring Guide for additional information.

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