N-RN.1-2: Extend the properties of exponents to rational exponents

N-RN.3: Use properties of rational and irrational numbers.

N-Q.1-3: Reason quantitatively and use units to solve problems

N-CN.1-3: Perform arithmetic operations with complex numbers

N-CN.4-6: Represent complex numbers and their operations on the complex plane

N-CN.7-9: Use complex numbers in polynomial identities and equations

N-VM.1-3: Represent and model with vector quantities.

N-VM.4-5: Perform operations on vectors.

N-VM.6-12: Perform operations on matrices and use matrices in applications.

A-SSE.1-2: Interpret the structure of expressions

A-SSE.3-4: Write expressions in equivalent forms to solve problems

A-APR.1: Perform arithmetic operations on polynomials

A-APR.2-3: Understand the relationship between zeros and factors of polynomials

A-APR.4-5: Use polynomial identities to solve problems

A-APR.6-7: Rewrite rational expressions

A-CED.1-4: Create equations that describe numbers or relationships

A-REI.1-2: Understand solving equations as a process of reasoning and explain the reasoning

A-REI.3-4: Solve equations and inequalities in one variable

A-REI.5-9: Solve systems of equations

A-REI.10-12: Represent and solve equations and inequalities graphically

F-IF.1-3: Understand the concept of a function and use function notation

F-IF.4-6: Interpret functions that arise in applications in terms of the context

F-IF.7-9: Analyze functions using different representations

F-BF.1-2: Build a function that models a relationship between two quantities

F-BF.3-5: Build new functions from existing functions

F-LE.1-4: Construct and compare linear, quadratic, and exponential models and solve problems

F-LE.5: Interpret expressions for functions in terms of the situation they model

F-TF.1-4: Extend the domain of trigonometric functions using the unit circle

F-TF.5-7: Model periodic phenomena with trigonometric functions

F-TF.8-9: Prove and apply trigonometric identities

G-CO.1-5: Experiment with transformations in the plane

G-CO.6-8: Understand congruence in terms of rigid motions

G-CO.9-11: Prove geometric theorems

G-CO.12-13: Make geometric constructions

G-SRT.1-3: Understand similarity in terms of similarity transformations

G-SRT.4-5: Prove theorems involving similarity

G-SRT.6-8: Define trigonometric ratios and solve problems involving right triangles

G-SRT.9-11: Apply trigonometry to general triangles

G-C.1-4: Understand and apply theorems about circles

G-C.5: Find arc lengths and areas of sectors of circles

G-GPE.1-3: Translate between the geometric description and the equation for a conic section

G-GPE.4-7: Use coordinates to prove simple geometric theorems algebraically

G-GMD.1-3: Explain volume formulas and use them to solve problems

G-GMD.4: Visualize relationships between two-dimensional and three-dimensional objects

G-MG.1-3: Apply geometric concepts in modeling situations

S-ID.1-4: Summarize, represent, and interpret data on a single count or measurement variable

S-ID.5-6: Summarize, represent, and interpret data on two categorical and quantitative variables

S-ID.7-9: Interpret linear models

S-IC.1-2: Understand and evaluate random processes underlying statistical experiments

S-IC.3-6: Make inferences and justify conclusions from sample surveys, experiments and observational studies

S-CP.1-5: Understand independence and conditional probability and use them to interpret data

S-CP.6-9: Use the rules of probability to compute probabilities of compound events in a uniform probability model

S-MD.1-4: Calculate expected values and use them to solve problems

S-MD.5-7: Use probability to evaluate outcomes of decisions

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

MP2: Reason abstractly and quantitatively.

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

MP4: Model with mathematics.

MP5: Use appropriate tools strategically.

MP6: Attend to precision.

MP7: Look for and make use of structure.

MP8: Look for and express regularity in repeated reasoning.

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.

RST 12.2 - Determine central ideas and conclusions in the text

RST 12.3 - Precisely follow a complex multistep procedure

RST 12.4 - Determine the meaning of symbols, key terms, and other domain-specific words and phrases

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

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

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

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

RST 12.9 - Synthesize information from a range of sources

RST 12.10 - Read and comprehend science/technical texts

WHST 12.1 - Write arguments on discipline specific content

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

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

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

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

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

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

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

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

2. Developing and using models

3. Planning and carrying out investigations