Missouri Math Standards (Mathematical Practices)

Make sense of problems and persevere in solving them. • Relate a problem to prior knowledge. • Recognize that there may be multiple entry points to a problem and more than one path to a solution. • Analyze what is given, what is not given, what is being asked, and what strategies are needed, and make an initial attempt to solve a problem. • Evaluate the success of an approach to solve a problem and refine it if necessary. • Evaluate the reasonableness of a solution to a problem.

Reason both contextually and abstractly. • Make sense of quantities and their relationships in mathematical and real-world situations. • Describe a given situation using multiple mathematical representations. • Translate among multiple mathematical representations and compare the meanings each representation conveys about the situation. • Connect the meaning of mathematical operations to the context of a given situation.

Use critical thinking skills to justify mathematical reasoning and critique the reasoning of others. • Construct and justify a solution to a problem. • Compare and discuss the validity of various reasoning strategies. • Make conjectures and explore their validity. • Reflect on and provide thoughtful responses to the reasoning of others.

Connect mathematical ideas and real-world situations through modeling. • Identify relevant quantities and develop a model to describe their relationships. • Interpret mathematical models in the context of the situation. • Make assumptions and estimates to simplify complicated situations. • Evaluate the reasonableness of a model and refine if necessary.

Use a variety of mathematical tools effectively and strategically. • Select and use appropriate tools when solving a mathematical problem. • Use technological tools and other external mathematical resources to explore and deepen understanding of concepts.

Communicate mathematically and approach mathematical situations with precision. • Express numerical answers with the degree of precision appropriate for the context of a situation. • Represent numbers in an appropriate form according to the context of the situation. • Use appropriate and precise mathematical language. • Use appropriate units, scales, and labels.

Identify and utilize structure and patterns. • Recognize complex mathematical objects as being composed of more than one simple object. • Recognize mathematical repetition in order to make generalizations. • Look for structures to interpret meaning and develop solution strategies.

Look for and express regularity in repeated reasoning. • Notice if calculations are repeated and look for generalizations in methods. • Maintain oversight of the process while paying attention to the details. • Draw general results from trying multiple examples.