Algebra II Overview:

Number and Quantity

The Complex Number System

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

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.

Reasoning with Equations and Inequalities

Understand solving equations as a Creating Equations

• process of reasoning and explain the reasoning.
• Solve equations and inequalities in one variable.
• Represent and solve equations and inequalities graphically.

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.
• Prove and apply trigonometric identities.

Geometry

Expressing Geometric Properties with Equations

• Translate between the geometric description and the equation for a conic section.

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.