Common Core Algebra 2
Unit #1 – Review of Important Topics from Common Core Algebra I
Includes but not limited to: Review of Basic Terms and Vocabulary, Solving Linear Equations,
Brief Exponent Review, Operations with Polynomials and Basic Calculator Work Using the TI-83Plus
Graphing Calculator.
Unit #2 – Functions
Includes but not limited to: Graphs of Functions and Important Ideas with the Graph of a
Function (intervals of Increase/Decrease, Zero(s), y-intercepts, Maximum and Minimum (Absolute and
Relative)), Definition of a Function, Function Notation, Evaluating Functions, Domain and Range of
Functions, Composition of Functions, One to One Functions and Inverse Functions
Unit #3 – Linear Functions
Includes but not limited to: Direct Variation, Rate of Change, Various Forms of a Linear Equation,
Modeling using linear functions, Inverses of Linear functions, Piecewise Equations/Graphing involving
Linear Functions and Systems of Linear Equations (focus on Three Equations and Three Unknowns)
Unit # 4 – Exponential and Logarithmic Functions
Includes but not limited to: Exponents (integer and fractional), Review of the Rules of
Exponents, Graph of Exponential Functions, Writing the Equation of an Exponential Function given the
Base and Initial Value, Solving Exponential Equations with Common Bases, Modeling Exponential
Functions (Growth and Decay), Definition of a Logarithm, Graphs of Logarithmic Functions, Rules of
Logarithms, Solving Exponential Equations Using Logarithms, the Number e and the Natural Logarithm
and Applications of Exponential Equations and Logarithmic Equations
Unit # 5 – Sequences and Series
Includes but not limited to: Definition a Sequence, Arithmetic Sequences, Geometric Sequences,
Sigma Notation (Summation Notation), Definition of a Series, Arithmetic Series, Geometric Series and
Applications of Series
Unit #6 – Quadratic Functions
Includes but not limited to: Review of a Quadratic Equation (in one variable) and its Graph, Factoring
(GCF, Factoring Completely, Difference of Perfect Squares (Conjugate Factors), Perfect Square
Trinomials, Factoring Trinomials, Factoring by Grouping, Zero Product Property, Quadratic Inequalities in
One Variable, Completing the Square, Vertex-Form of a Parabola, Horizontal and Vertical Shifts of a
Parabola, Modeling with Quadratic Functions, Distance Formula, Equations of a Circle (Center-Radius
and Expanded Form) and the Definition of a Parabolas as a Locus of Points Equidistant from a Point
(Focus) and a Line (Directrix)
Unit #7 – Transformations of Functions
Includes but not limited to: Vertical and Horizontal Shifts of Various Functions, Reflections of a Parabola,
Vertical and Horizontal Dilations of a Function (Stretching and Compressing) and Even & Odd Functions
Unit #8 – Radicals and the Quadratic Formula
Includes but not limited to: Domain, Range and Graphs of Square Root Functions, Solving Square Root
Equations (extraneous roots), revisit Fractional Exponents as a means of discussing roots other than
square roots and Quadratic Formula.
Unit #9 – Complex Numbers
Includes but not limited to: Definition of an Imaginary Number, Powers of I, Definition of Complex
Number, Operations with Complex Numbers, Definition and Meaning of the Discriminant and Solving
Quadratic Equations with Complex Roots
Unit #10 – Polynomial and Rational Functions
Includes but not limited to: Power Functions, Graphs and Zeros of a Polynomial, Writing Polynomial
Equations, Polynomial Identities, Simplifying Rational Expressions, Operations with Rational Expressions,
Solving Rational Equations, Solving Rational Inequalities, Discussion of Rational Functions, Complex
Fractions, Long Division of Polynomials and Remainder Theorem
Unit #11 – Trigonometric Functions
Includes but not limited to: Standard Position, the meaning of Positive/Negative Angle Measures,
Coterminal Angles, Reference Angles, Radian and Degree Measures of an Angle, The Unit Circle,
Definition of Sine and Cosine, Pythagorean Identity, Evaluating Using Sine and Cosine, Graphs of Sine
and Cosine, Frequency, Period and Amplitude of a Trig Graph, Transformations of Trig Graphs, Modeling
Using Sinusoidal Graphs, the Tangent Function and Reciprocal Trig Functions.
Unit #12 – Probability
Includes but not limited to: Basic Terminology, Definition of Probability, Theoretical and Empirical
Probabilities, Definitions of Sets/Sample Spaces, Independent and Dependent Events, Adding and
Multiplying Probabilities and Conditional Probabilities
Unit #13 – Statistics
Includes but not limited to: Variability and Sampling, Population Parameters, Normal Distribution and
Z=scores, Sample Means, Sample Proportions, Difference in Sample Means and Regression (Linear and
Other)