6.11B solve problems that incorporate the process of understanding the problem, 6.1B/7.1B/8.1B use a making a plan, carrying out the solving model that incorporates plan, and evaluating the solution analyzing given information, of reasonableness formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the 6.11C select or develop and reasonableness of the solution appropriate problem-solving plan or strategy including drawing a picture, looking for a pattern, systematic guessing and checking, acting it, making a working a simpler problem, or working backwards to solve a problem 6.11D select tools such as real 6.1C/7.1C/8.1C select objects, manipulatives, including real objects, paper/pencil, and technology or manipulatives, paper/pencil, and techniques such as mental math, technology, as appropriate and estimation, and number sense to techniques, including mental solve problems math, estimation, and number sense, as appropriate to solve problems 6.12A communicate 6.1D/7.1D/8.1D communicate mathematical using mathematical ideas, reasoning, language, effective tools, and their implications using appropriate units, and graphical, multiple representation, including numerical, physical, or algebraic symbols, diagrams, graphs, and mathematical models language as appropriate
6.11B solve problems that incorporate the process of understanding the problem, making a plan, carrying out the plan, and evaluating the solution of reasonableness 6.11C select or develop and appropriate problem-solving plan or strategy including drawing a picture, looking for a pattern, systematic guessing and checking, acting it, making a working a simpler problem, or working backwards to solve a problem 6.1B/7.1B/8.1B use a model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution 6.11D select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems 6.1C/7.1C/8.1C select including real objects, manipulatives, paper/pencil, and technology, as appropriate and techniques, including mental math, estimation, and number sense, as appropriate to solve problems 6.12A communicate mathematical using language, effective tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models 6.1D/7.1D/8.1D communicate mathematical ideas, reasoning, and their implications using multiple representation, including symbols, diagrams, graphs, and language as appropriate solving