# 535 Accelerated Algebra II

## What your student will be able to do after a successful year

### The Complex Number System

• Perform arithmetic operations with complex numbers.
• Use complex numbers in polynomial identities and equations.

### Seeing Structure in Expressions

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

### Arithmetic with Polynomial 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

### Reasoning with Equations and Inequalities

• Understand solving equations as a Process of reasoning and explain the reasoning.
• Represent and solve equations and inequalities graphically
• Creating equations that describe numbers or relationships

### 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
• Interpret expressions for functions in terms of the situation they model.

### Trigonometric Functions

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

### Statistics and Probability

• Use and evaluate random processes underlying statistical experiments.
• Make inferences and justify conclusions from sample surveys, experiments, and observational studies.
• Use probability to evaluate outcomes of decisions.
• Summarize, represent and interpret data on a single count or measurement variable.

### Vector and Matrix Quantities

• Perform operations on matrices and use matrices in application.