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Algebra 2
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Unit I - Basic Equations and Inequalities	Unit II - Advanced Equations and Inequalities
Algebraic Expressions (+Variables) Order of Operations Polynomials Term/Coefficient/Constant Powers and Exponents Formulas Rational Numbers Irrational Numbers and Real Numbers Solving Basic Equations Commutative Property of Addition Commutative Property of Multiplication Associative Property of Addition Associative Property of Multiplication Reflexive Property of Equality Symmetric Property of Equality Transitive Property of Equality Substitution Property of Equality Absolute Value Addition and Subtraction Properties of Inequalities Multiplication and Division Properties of Inequalities Trichotomy Property Absolute Value Inequalities Coordinate (Cartesian) Planes Quadrants Domain and Range Functions Vertical Line Test Independent and Dependent Variables Function Notation Linear Equations Standard Form and Expanded Form Slope Rate of Change Slope-Intercept Form Point-Slope Form Scatter Plots Best-Fit Line Graphing Inequalities Systems of Equations Graphing Systems of Inequalities Ordered Triples Matrices Scalar Multiplication of Matrices Addition and Subtraction of Matrices Multiplying Matrices Properties of Matrix Multiplication Matrix Translations Matrix Dilations Matrix Reflections Matrix Rotations Second-Order Determinants Third-Order Determinants Cramer’s Rule Identity Matrix Inverse of a 2 x 2 Matrix	Quadratic Functions Axis of Symmetry of a Parabola Quadratic Equations FOIL Method for Multiplying Binomials Zero Product Property Perfect Squares and Square Roots Product Property of Square Roots Quotient Property of Square Roots Imaginary Numbers Square Root Property Complex Numbers Complex Conjugates Completing the Square The Quadratic Formula The Discriminant Vertex Form Quadratic Inequalities Quotient of Powers Product of Powers Negative Exponents Power of a Power Power of a Product Power of a Quotient Scientific Notation Dimensional Analysis Synthetic Division Polynomial Functions End Behavior of a Polynomial Function The Location Principle Relative Minimums and Relative Maximums Quadratic Functions The Remainder Theorem and Synthetic Substitution Depressed Polynomials and Factor Theorem Fundamental Theorem of Algebra Descartes' Rule of Signs Complex Conjugates Theorem Rational Zero Theorem Composition of Functions Inverse of a Relation Inverse Functions Square Root Functions Square Root Inequality Definition of nth Roots Simplifying Radical Expressions Like Radical Expressions Conjugates, Part Two Rational Exponents Radical Equations Radical Inequalities
Unit III - Advanced Functions and Relations	Unit IV - Discrete Mathematics
Rational Expressions Multiplying Rational Expressions Dividing Rational Expressions Complex Fractions Rational Functions Direct Variation + Constant of Variation Joint Variation Inverse Variation Rational Equations Rational Inequalities Exponential Functions Exponential Growth Exponential Decay Exponential Equations Exponential Inequalities Logarithms Logarithmic Equations Logarithmic Inequalities Property of Equality for Logarithmic Functions Property of Inequality for Logarithmic Functions Product Property of Logarithms Quotient Property of Logarithms Power Property of Logarithms Common Logarithms Change of Base Formula The Natural Base (e) Rate of Decay Rate of Growth Midpoint Formula Distance Formula Equation of a Parabola Equation of a Circle Ellipses Equation of a Hyperbola Solving Quadratic Systems	Arithmetic Sequences Arithmetic Mean for Samples and Populations Arithmetic Series Sigma Notation Geometric Sequence Geometric Mean Geometric Series Infinite Geometric Series Fibonacci Sequence Iteration Pascal’s Triangle The Binomial Theorem Factorials The Basics of Probability Fundamental Counting Principle Factorials Permutations Combinations Multiplication Rule (Probability “and”) Addition Rule (Probability “or”) Descriptive and Inferential Statistics Sampling Methods Matrices Scalar Multiplication of Matrices Frequency Distributions and Cumulative Frequency Distributions Bar Graphs and Pie Charts Histograms and Stem & Leaf Plots Range Percentiles and Quartiles The Five Number Summary, Interquartile Range(IQR), and Boxplots The Effects of Outliers Central Tendency: Mean, Median, and Mode Variance and Standard Deviation of a Population Variance and Standard Deviation of a Sample