Number and Quantity
The Complex Number Systems
- Use complex numbers in polynomial identities and equations.
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Algebra
Seeing Structure in Expressions
- Interpret the structure of expressions.
- Write expressions in equivalent forms to solve problems.
Arithmetic with Polynomials and Rational Expressions
- Perform arithmetic operations on polynomials.
- Understand the relationship between zeros and factors of polynomials.
- Use polynomial identities to solve problems
- Rewrite rational expressions.
Creating Equations
- Create equations that describe numbers or relationships.
Reasoning with Equations and Inequalities
- Understand solving equations as a process of reasoning and explain the reasoning.
- Represent and solve equations and inequalities graphically.
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Functions
Interpreting Functions
- Interpret functions that arise in applications in terms of the context.
- Analyze functions using different representations.
Building Functions
- Build a function that models a relationship between two quantities.
- Build new functions from existing functions.
Linear, Quadratic, and Exponential Models
- Construct and compare linear, quadratic, and exponential models and solve problems.
Trigonometric Functions
- Extend the domain of trigonometric functions using the unit circle.
- Model periodic phenomena with trigonometric functions.
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Geometry
Similarity, Right Triangles, and Trigonometry
- Apply trigonometry to general triangles.
Geometric Measurement and Dimension
- Visualize relationships between two-dimensional and three-dimensional objects.
Modeling with Geometry
- Apply geometric concepts in modeling situations.
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Statistics and Probability
Interpreting Categorical and Quantitative Data
- Summarize, represent, and interpret data on a single count or measurement variable.
Making Inferences and Justifying Conclusions
- Understand and evaluate random processes underlying statistical experiments.
- Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
Using Probability to Make Decisions
- Use probability to evaluate outcomes of decisions.
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Standards For Mathematical Practice
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.
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