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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
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