534 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.