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MATH PRACTICE 1: Make Sense of Problems & Persevere in Solving Them Make sense of what the problem is first before attempting to solve. Asking themselves questions going to a solution. Staying with a problem to successfully find a solution or several possible solution paths. Showing perseverance in working with others to see multiple perspectives. MATH PRACTICE 2: Reason Abstractly and Quantitatively Demonstrating the ability to draw conclusions from given information or to recognize insufficient information. Using the properties of the number system to solve problems by translating a problem into symbols, following established rules to perform required calculations, and then translating the symbols back into a meaningful solution. Quantitative reasoning entails creating a representation of a problem while attending to the meanings of the quantities. Identifying the needed calculations and affirming the answer is viable for the given problem. MATH PRACTICE 3: Construct Viable Arguments and Critique the Reasoning of Others Using reasoning based on mathematical properties from many areas of mathematics. Rationally explaining why a particular solution path was adopted, and why the path led to a reasonable answer. Making conjectures about observed patterns. Students are engaged in practices that require them to think & reason, as well as share & reflect on another’s explanation of thinking. MATH PRACTICE 4: Model with Mathematics When confronted with a problem situation, students can transfer their mathematical knowledge into a solution path for the situation. “Mathematizing” a real life problem. Students are able to understand that models are way to reason quantitatively and abstractly (able to decontextualize and contextualize.) In early grades, students experiment with representing problem situations in multiple ways including numbers, words (mathematical language), drawing pictures, using objects, acting out, making a chart or list, creating equations, etc. MATH PRACTICE 5: Use Appropriate Tools Strategically Students need to work with a variety of mathematical tools over extended time to learn to select the most appropriate tool for the problem. MATH PRACTICE 6: Attend to Precision Students must recognize the value of being accurate and precise in their written language, discussions, and solutions. Understanding the meaning of symbols used in mathematics and can label quantities appropriately. Students use appropriate terminology. MATH PRACTICE 7: Look for and Make Use of Structure—Deductive Reasoning Students need to demonstrate ease and fluency in using patterns or structures to compute mentally. Apply general mathematical rules to specific situations. See complicated things as single objects or as being composed of several objects. MATH PRACTICE 8: Look for and Express Regularity in Repeated Reasoning—Inductive reasoning See repeated calculations and look for generalizations and shortcuts. See the overall process of the problem and still attend to the details. Understand the broader application of patterns and see the structure in similar situations. Continually evaluate the reasonableness of their intermediate results.