I'm still trying to figure out how to better structure my course. This was my 3rd year teaching Algebra 2, and I still haven't found a unit structure that seems to flow and make sense to me and my students. I've still got hope that there's a better structuring system out there. Any advice would be greatly appreciated.
Algebra 2 Learning Goals
Unit 1 - Graphing and Describing Graphs
I can graph and identify key aspects (domain, range, intercepts, intervals of increasing and decreasing, and relative maxes and mins) of functions (quadratic, radical, logarithmic, exponential, polynomial, and rational).
I can identify parent functions based on graph, equation, description, or set of data points.
I can find and graph the inverse of a function, if it exists.
I can identify, graph, and describe conic sections.
Unit 2 - Add/Subtract/Multiply/Divide/Simplify/Convert Expressions
I can factor out the GCF of an expression.
I can factor quadratic trinomials.
I can perform polynomial long division.
I can simplify radical expressions.
I can add and subtract radical expressions.
I can multiply and divide radical expressions.
I can convert between radical notation and rational exponent notation.
I can simplify rational expressions.
I can add and subtract rational expressions.
I can multiply and divide rational expressions.
I can simplify complex fractions.
I can add/subtract/multiply/divide/simplify complex numbers.
I can add/subtract/multiply/divide functions in function notation.
I can simplify (evaluate) logarithmic expressions.
I can convert between logarithmic and exponential form.
I can use the properties of logarithms and the change of base formula to rewrite logarithmic expressions.
I can compose functions in function notation.
Unit 3 - Solving Equations
I can solve quadratics by graphing.
I can solve quadratics by factoring.
I can solve quadratics by completing the square.
I can solve quadratics by taking the square root of both sides.
I can solve quadratics using the quadratic formula.
I can solve systems of equations by graphing.
I can solve logarithmic equations.
I can solve exponential equations.
I can solve polynomial equations.
I can solve rational equations.
Unit 4 - Sequences and Series
I can identify a sequence, series, or situation as arithmetic or geometric.
I can find the nth term in a sequence.
I can find the sum of the first n terms in a series.
Unit 5 - Modeling
I can write a system of equations that models a situation.
I can use the model of a function to answer questions about a situation.