## High School Mathematics

- Extend the properties of exponents to rational exponents.
- Use properties of rational and irrational numbers.

**Quantities **

- Reason quantitatively and use units to solve problems.

- Perform arithmetic operations with complex numbers.
- Represent complex numbers and their operations on the complex plane.
- Use complex numbers in polynomial identities and equations.

- Represent and model with vector quantities.
- Perform operations on vectors.
- Perform operations on matrices and use matrices in applications.

- Interpret the structure of expressions.
- Write expressions in equivalent forms to solve problems.

- Perform arithmetic operations on polynomials.
- Understand the relationship between zeros and factors of polynomials.
- Use polynomial identities to solve problems.
- Rewrite rational expressions.

- Understand the concept of a function and use function notation.
- Interpret functions that arise in applications in terms of the context.
- Analyze functions using different representations.

- Build a function that models a relationship between two quantities.
- Build new functions from existing functions.

- Construct and compare linear, quadratic, and exponential models and solve problems.
- Interpret expressions for functions in terms of the situation they model.

- Extend the domain of trigonometric functions using the unit circle.
- Model periodic phenomena with trigonometric functions.
- Prove and apply trigonometric identities.

- Experiment with transformations in the plane
- Understand congruence in terms of rigid motions
- Prove geometric theorems
- Make geometric constructions

**Similarity, Right Triangles, & Trigonometry**

- Understand similarity in terms of similarity transformations
- Prove theorems involving similarity
- Define trigonometric ratios and solve problems involving right triangles
- Apply trigonometry to general triangles

- Understand and apply theorems about circles
- Find arc lengths and areas of sectors of circles.

**Expressing Geometric Properties with Equations**

- Translate between the geometric description and the equation for a conic section
- Use coordinates to prove simple geometric theorems algebraically

**Geometric Measures & Dimension**

- Explain volume formulas and use them to solve problems
- Visualize relationships between two-dimensional and three-dimensional objects

- Apply geometric concepts in modeling situations

**Interpreting Categorical & Quantitative Data**

- Summarize, represent, and interpret data on a single count or measurement variable
- Summarize, represent, and interpret data on two categorical and quantitative variables
- Interpret linear models

**Making Inferences & Justifying Conclusions**

- Understand and evaluate random processes underlying statistical experiments
- Make inferences and justify conclusions from sample surveys, experiments, and observational studies

- Conditional Probability & the Rules of Probability
- Use the rules of probability to compute probabilities of compound events.

**Using Probability to Make Decisions**

- Calculate expected values and use them to solve problems
- Use probability to evaluate outcomes of decisions