8:00 - 9:25 Algebra I

9:30 - 11:00 Geometry

11:00 - 12:00 Planning

Number and Quantity

Algebra

Functions

Geometry

Statistics and Probability

**The Real Number System**

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

**Quantities**

- Reason quantitatively and use units to solve problems

**The Complex Number System**

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

**Vector and Matrix Quantities**

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

**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
- Solve equations and inequalities in one variable
- Solve systems of equations
- Represent and solve equations and inequalities graphically

**Interpreting Functions**

- 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

**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
- Interpret expressions for functions in terms of the situation they model

**Trigonometric Functions**

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

**Congruence**

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

**Similarity, Right Triangles, and 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

**Circles**

- 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 Measurement and Dimension**

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

**Modeling with Geometry**

- Apply geometric concepts in modeling situations

**Interpreting Categorical and 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 and Justifying Conclusions**

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

**Conditional Probability and the Rules of Probability**

- Understand independence and conditional probability and use them to interpret data
- Use the rules of probability to compute probabilities of compound events in a uniform probability model

**Using Probability to Make Decisions**

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