NRN.12: Extend the properties of exponents to rational exponents 



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NRN.3: Use properties of rational and irrational numbers. 



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NQ.13: Reason quantitatively and use units to solve problems 



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NCN.13: Perform arithmetic operations with complex numbers 



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NCN.46: Represent complex numbers and their operations on the complex plane 



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NCN.79: Use complex numbers in polynomial identities and equations 



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NVM.13: Represent and model with vector quantities. 



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NVM.45: Perform operations on vectors. 



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NVM.612: Perform operations on matrices and use matrices in applications. 



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ASSE.12: Interpret the structure of expressions 



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ASSE.34: Write expressions in equivalent forms to solve problems 



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AAPR.1: Perform arithmetic operations on polynomials 



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AAPR.23: Understand the relationship between zeros and factors of polynomials 



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AAPR.45: Use polynomial identities to solve problems 



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AAPR.67: Rewrite rational expressions 



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ACED.14: Create equations that describe numbers or relationships 



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AREI.12: Understand solving equations as a process of reasoning and explain the reasoning 



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AREI.34: Solve equations and inequalities in one variable 



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AREI.59: Solve systems of equations 



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AREI.1012: Represent and solve equations and inequalities graphically 



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FIF.13: Understand the concept of a function and use function notation 



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FIF.46: Interpret functions that arise in applications in terms of the context 



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FIF.79: Analyze functions using different representations 



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FBF.12: Build a function that models a relationship between two quantities 



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FBF.35: Build new functions from existing functions 



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FLE.14: Construct and compare linear, quadratic, and exponential models and solve problems 



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FLE.5: Interpret expressions for functions in terms of the situation they model 



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FTF.14: Extend the domain of trigonometric functions using the unit circle 



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FTF.57: Model periodic phenomena with trigonometric functions 



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FTF.89: Prove and apply trigonometric identities 



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GCO.15: Experiment with transformations in the plane 



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GCO.68: Understand congruence in terms of rigid motions 



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GCO.911: Prove geometric theorems 



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GCO.1213: Make geometric constructions 



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GSRT.13: Understand similarity in terms of similarity transformations 



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GSRT.45: Prove theorems involving similarity 



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GSRT.68: Define trigonometric ratios and solve problems involving right triangles 



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GSRT.911: Apply trigonometry to general triangles 



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GC.14: Understand and apply theorems about circles 



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GC.5: Find arc lengths and areas of sectors of circles 



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GGPE.13: Translate between the geometric description and the equation for a conic section 



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GGPE.47: Use coordinates to prove simple geometric theorems algebraically 



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GGMD.13: Explain volume formulas and use them to solve problems 



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GGMD.4: Visualize relationships between twodimensional and threedimensional objects 



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GMG.13: Apply geometric concepts in modeling situations 



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SID.14: Summarize, represent, and interpret data on a single count or measurement variable 



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SID.56: Summarize, represent, and interpret data on two categorical and quantitative variables 



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SID.79: Interpret linear models 



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SIC.12: Understand and evaluate random processes underlying statistical experiments 



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SIC.36: Make inferences and justify conclusions from sample surveys, experiments and observational studies 



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SCP.15: Understand independence and conditional probability and use them to interpret data 



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SCP.69: Use the rules of probability to compute probabilities of compound events in a uniform probability model 



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SMD.14: Calculate expected values and use them to solve problems 



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SMD.57: Use probability to evaluate outcomes of decisions 



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MP1: Make sense of problems and persevere in solving them. 



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MP2: Reason abstractly and quantitatively. 



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MP3: Construct viable arguments and critique the reasoning of others. 



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MP4: Model with mathematics. 



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MP5: Use appropriate tools strategically. 



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MP6: Attend to precision. 



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MP7: Look for and make use of structure. 



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MP8: Look for and express regularity in repeated reasoning. 



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RST 12.1  Cite specific textual evidence to support analysis of science and technical texts, attending to important distinctions the author makes and to any gaps or inconsistencies in the account. 



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RST 12.2  Determine central ideas and conclusions in the text 



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RST 12.3  Precisely follow a complex multistep procedure 



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RST 12.4  Determine the meaning of symbols, key terms, and other domainspecific words and phrases 



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RST 12.5  Analyze how the text structures information or ideas into categories or hierarchies 



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RST 12.6  Analyze the author's purpose in providing an explanation, describing a procedure 



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RST 12.7  Integrate and evaluate multiple sources of information presented in diverse formats and media 



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RST 12.8  Evaluate the hypotheses, data, analysis, and conclusions in a science or technical text 



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RST 12.9  Synthesize information from a range of sources 



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RST 12.10  Read and comprehend science/technical texts 



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WHST 12.1  Write arguments on discipline specific content 



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WHST 12.2  Write informative/explanatory texts, including the narration of historical events, scientific procedures/experiments, or technical processes 



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WHST 12.4  Produce clear and coherent writing in which the development, organization, and style are appropriate to task, purpose, and audience 



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WHST 12.5  Develop and strengthen writing as needed by planning, revising, editing, rewriting 



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WHST 12.6  Use technology, including the Internet, to produce, publish, and update writing products 



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WHST 12.7  Conduct short as well as more sustained research projects to answer a question 



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WHST 12.8  Gather relevant information from multiple authoritative print and digital sources, using advanced searches effectively; assess the strengths and limitations of each source 



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WHST 12.9  Draw evidence from informational texts to support analysis, reflection, and research 



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1. Asking questions (for science) and defining problems (for engineering) 



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2. Developing and using models 



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3. Planning and carrying out investigations 



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4. Analyzing and interpreting data 



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5. Using mathematics and computational thinking 



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6. Constructing explanations (for science) and designing solutions (engineering) 



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7. Engaging in argument from evidence 



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8. Obtaining, evaluation, and communicating information 



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HSETS11. Analyze a major global challenge to specify qualitative and quantitative criteria and constraints for solutions that account for societal needs and wants. 



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HSETS12. Design a solution to a complex realworld problem by breaking it down into smaller, more manageable problems that can be solved through engineering. 



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HSETS13. Evaluate a solution to a complex realworld problem based on prioritized criteria and tradeoffs that account for a range of constraints, including cost, safety, reliability, and aesthetics as well as possible social, cultural, and environmental impacts. 



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HSETS14. Use a computer simulation to model the impact of proposed solutions to a complex realworld problem with numerous criteria and constraints on interactions within and between systems relevant to the problem. 



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