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Algebra 1
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Unit I - Expressions and Equations	Unit II - Linear Functions
Algebraic Expressions (+Variables) Powers and Exponents Order of Operations Solving Basic Equations Inequalities Additive Identity Multiplicative Identity Reflexive Property of Equality Symmetric Property of Equality Transitive Property of Equality Substitution Property of Equality Commutative Property of Addition Commutative Property of Multiplication Associative Property of Addition Associative Property of Multiplication The Distributive Property Conditional Statements Functions Independent and Dependent Variables Coordinate (Cartesian) Planes Quadrants Domain and Range Integers Natural Numbers and Whole Numbers Rational Numbers Absolute Value Adding Integers Additive Inverse Property Subtracting Integers Multiplying Integers Multiplicative Property of -1 Dividing Integers Histograms and Stem & Leaf Plots Central Tendency, Mean, Median, Mode Probability Introduction Perfect Squares and Square Roots Irrational Numbers and Real Numbers Linear Equations Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Consecutive Integers Solving Equations with Variables Solving Equations with Grouping Symbols Ratios and Rates Proportions Scale Drawings and Scale Models Percent of Change Dimensional Analysis Mixture Problems Uniform Motion Problems	Coordinate (Cartesian) Planes Quadrants Midpoint Formula Transformations Relations Inverse of a Relation Equations in Two Variables Linear Equations Function Notation Vertical Line Test Arithmetic Sequences Slope Rate of Change Direct Variation + Constant of Variation Slope-Intercept Form Classifying Line Slopes Linear Extrapolation Point-Slope Form Parallel Lines and Perpendicular Lines Scatter Plots Best-Fit Line Linear Interpolation Addition and Subtraction Properties of Inequalities Multiplication and Division Properties of Inequalities Solving Multistep Inequalities Compound Inequalities Absolute Value Inequalities Graphing Inequalities Systems of Equations Elimination using Addition Elimination using Subtraction Elimination using Multiplication Graphing Systems of Inequalities
Unit III - Polynomials and Nonlinear Functions	Unit IV - Radical and Rational Functions
Monomials Product of Powers Power of a Power Power of a Product Quotient of Powers Power of a Quotient Zero Exponent Negative Exponents Scientific Notation Scientific to Standard Notation Standard to Scientific Notation Polynomials Adding Polynomials Subtracting Polynomials Multiplying a Polynomial by a Monomial FOIL Method for Multiplying Binomials Square of a Sum Square of a Difference Product of a Sum and a Difference Prime and Composite Numbers Prime Factorization with Factor Trees Greatest Common Factor(GCF) Factoring by Grouping Zero Product Property Factoring Quadratic Trinomials Factoring Differences of Squares Factoring Perfect Square Trinomials Square Root Property Quadratic Functions Axis of Symmetry of a Parabola Quadratic Equations Completing the Square The Quadratic Formula The Discriminant Exponential Functions Exponential Growth Exponential Decay Simple Interest Compound Interest Geometric Sequences	Product Property of Square Roots Quotient Property of Square Roots Conjugates Simplest Radical Form Adding and Subtracting Radical Expressions Multiplying Radical Expressions Radical Equations The Pythagorean Theorem Distance Formula Similar Triangles Trigonometric Ratios (Sine, Cosine, Tangent) Inverse Variation Rational Expressions Multiplying Rational Expressions Dividing Rational Expressions Rational Expressions with Like Denominators Rational Expressions with Unlike Denominators Least Common Multiple(LCM) Least Common Denominator(LCD) Mixed Expressions Complex Fractions Rational Equations
Unit V - Data Analysis
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