Algebra 2

Course Goals

• Rewrite polynomial expressions to prove identities and theorems.
• Apply properties of complex numbers to quadratic solutions and polynomial identities.
• Solve polynomial, radical, and rational equations by using graphs, tables, and algebraic techniques.
• Analyze polynomial functions, apply the remainder theorem, and identify zeros and factorizations in real and complex forms.
• Interpret the key features of polynomial, radical, and rational functions using multiple representations.
• Create and transform graphs of polynomial, radical, and rational functions.
• Find and verify inverse functions.
• Model relationships and data with functions and use the models to make predictions and interpret results.
• Understand the inverse relationship between exponential and logarithmic functions and apply this relationship to rewrite and interpret expressions and equations.
• Solve exponential and logarithmic equations by using graphs, tables, and algebraic techniques.
• Interpret the key features of exponential and logarithmic functions using multiple representations.
• Create and transform graphs of exponential and logarithmic functions.
• Combine and compare functions in multiple representations.
• Create and solve systems of equations and inequalities using graphic and algebraic techniques.
• Connect the ideas of radian measure and arc length to the trigonometric origins of the unit circle while also proving and applying the Pythagorean identity.
• Create and transform graphs of trigonometric functions.
• Interpret the key features of trigonometric functions and apply those features to model periodic, real-world phenomena.
• Compare statistical models with experimental and observational data.
• Construct and analyze fair decisions and strategies based on probability concepts and methods.
• Fit data to a normal distribution and estimate population percentages and area using the normal distribution curve.
• Evaluate reports based on real-world data for accuracy, bias, and validity.