RHS Graduation Competencies 23-24 : PS - Problem Solving

1 | PS - PROBLEM SOLVING | 2023-2024 | ||||||||||||
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2 | I can demonstrate the ability to apply problem solving strategies to create efficient and high quality solutions to challenging problems. | |||||||||||||

3 | In order to meet the criteria in a specific level, the student must continue to meet the criteria of all previous levels. | Career Ready | College/Career Ready | College/Career Performing | ||||||||||

4 | Skill | LEVEL 1 | LEVEL 2 | LEVEL 3 | LEVEL 4 | LEVEL 5 | LEVEL 6 | |||||||

5 | PS.1 I can make sense of problems and persevere in solving them | I can identify the given information in a problem. | I can make connections between the given information, and I can identify and attempt to apply a possible strategy that can be used to solve a problem. | I can evaluate the success of a particular strategy in solving a problem. I can accurately solve a problem and explain the reasonableness of the solution. | I can identify different approaches and/or resources that can be used to solve a problem. I can make connections between all relevant information and determine an effective strategy that can be used to solve a problem. | I can persevere through challenges in solving a complex problem and can apply the multiple strategies needed to solve the problem. | I can estimate reasonable solutions before starting the problem. After completing the problem, I can analyze my estimation compared to the actual solutions. | |||||||

6 | PS.2 I can reason abstractly and quantitatively | With guidance, I can identify the different parts or "variables" in the problem. | I can attempt to create a symbolic representation. I can attempt to translate scenarios into at least 2 representations (verbal, numeric, symbolic, visual, tabular, etc.). | I can create an accurate symbolic representation of a problem. I can translate scenarios into at least 2 representations (verbal, numeric, symbolic, visual, tabular, etc.). | I can create an accurate symbolic representation of a problem and utilize it in order to evaluate real world problems. I can create multiple representations of a real world problem. | I can evaluate a complex real world situation by creating accurate symbolic representations of it. I can articulate how different representations can be used to provide further insight into the problem. | I can evaluate a complex real world situation by creating an accurate symbolic representation that demonstrates a deep understanding of the scenario and allows others to understand it. I can choose the appropriate representations of a real world problem. My representations are clear, coherent, and concise, including a description of the context of the scenario. | |||||||

7 | PS.3 I can construct viable arguments and critique the reasoning of others | I can create an argument for a logical solution. | I can create an argument and provide reasoning for my solution. I can recognize another approach and/or argument from my peers. | I can create an argument and provide detailed reasoning for my solution. I can use objects, diagrams, graphs, drawings, or step-by-step work to explain my solution. I can explain my thinking to my peers. | I can use mathematical evidence and data to support my solution. I can ask others questions about their approach and/or solution. | I can use counterexamples, definitions, and prior results to further justify my arguments. I can evaluate my approach compared to my peers, discussing the strengths and/or identifying flaws in reasoning. | I can critique my thinking and the thinking of my peers in detail. I utilize these discussions to refine my original thinking and develop new insights. | |||||||

8 | PS.4 I can attend to precision (label diagrams, units, terminology, rounding) | When solving problems, I can answer with no precision. | When solving problems, I can answer with limited precision. | When solving problems, I can answer with moderate precision. | When solving problems, I can answer with high level of precision. I can utilize specific academic language and/or notations. | When solving problems, I can answer with consistent precision. I can consistently utilize specific academic language and/or notations. | When solving problems, I can answer with consistent precision. In my explanations, I can use specific academic language and definitions to discuss solutions and reasoning. | |||||||

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