Mathematics
Mesa View Elementary Mathematics Academic Focuses
COMMON CORE Mathematics AT Mesa View - Standards of Mathematical Practices
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Problem Solving
Mathematically proficient students understand problems deeply, analyze given information, constraints, and goals, and devise solution strategies. They monitor their progress, adjust their approach as needed, and verify their solutions using different methods.
Abstract and Quantitative Reasoning
Mathematically proficient students understand and represent quantities and their relationships symbolically and contextually. They create coherent representations of problems, consider units, and use properties of operations and objects flexibly.
Constructing and Critiquing Arguments
Mathematically proficient students construct logical arguments using assumptions, definitions, and previously established results. They justify their conclusions, communicate them clearly, and respond to others' arguments by analyzing their validity, identifying flaws, and asking clarifying questions.
Modeling with Mathematics
Mathematically proficient students apply their knowledge to solve real-world problems. They create and use models, such as diagrams and equations, to represent relationships and make predictions, revising their models as needed.
Using Tools Strategically
Mathematically proficient students choose and use appropriate tools, such as calculators, software, and rulers, to solve problems. They understand the strengths and limitations of each tool and use them effectively to gain insights and detect errors.
Attending to Precision
Mathematically proficient students communicate clearly and precisely, using accurate definitions, specifying units of measure, and labeling axes appropriately. They calculate accurately and express answers with suitable precision for the context.
Looking for and Making Use of Structure
Mathematically proficient students identify patterns and structures in mathematics. They use these patterns to simplify problems and recognize connections, such as the distributive property in algebraic expressions.
Expressing Regularity in Repeated Reasoning
Mathematically proficient students identify and use patterns in repeated calculations to find general methods and shortcuts. They maintain oversight of their work process, paying attention to details and evaluating the reasonableness of their intermediate results.