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Pre-Algebra
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Unit I - Algebra and Integers	Unit II - Algebra and Rational Numbers
Order of Operations Algebraic Expressions (+Variables) Substitution Property of Equality Commutative Property of Addition Commutative Property of Multiplication Associative Property of Addition Associative Property of Multiplication Simplifying Algebraic Expressions Solving Basic Equations Coordinate (Cartesian) Planes Quadrants Domain and Range Scatter Plots Integers Adding Integers Additive Inverse Property Subtracting Integers Multiplying Integers Dividing Integers Absolute Value The Distributive Property Term/Coefficient/Constant Simplification Subtraction Property of Equality Addition Property of Equality Division Property of Equality Multiplication Property of Equality Formulas Perimeter of a Rectangle Area of a Rectangle	Factors Powers and Exponents Standard Form and Expanded Form Prime Numbers and Composite Numbers Prime Factorization with Factor Trees Greatest Common Factor(GCF) Algebraic Fractions Product of Powers Quotient of Powers Negative Exponents Scientific Notation Writing Fractions as Decimals Mixed Numbers Rational Numbers Multiplying Fractions Inverse Property of Multiplication Dividing Fractions Adding/Subtracting Like Fractions Least Common Multiple(LCM) Least Common Denominator(LCD) Adding/Subtracting Unlike Fractions Measures of Central Tendency Arithmetic Sequences Geometric Sequences Fibonacci Sequence Ratios and Rates Percentiles and Quartiles Proportions Scale Drawings and Scale Models Percent Proportions Simple Interest Percent of Change The Basics of Probability
Unit III - Linear Equations, Inequalities, and Functions	Unit IV - Applying Algebra to Geometry
Solving Equations with Variables Solving Equations with Grouping Symbols Inequalities Addition and Subtraction Properties of Inequalities Multiplication and Division Properties of Inequalities Functions Vertical Line Test Linear Equations Slope Rate of Change Direct Variation + Constant of Variation Slope-Intercept Form Best-Fit Line Systems of Equations Substitution Graphing Inequalities	Perfect Squares and Square Roots Irrational Numbers and Real Numbers Rays, Lines, and Angles Types of Angles Triangles The Pythagorean Theorem Distance Formula Midpoint Formula Similar Triangles Trigonometric Ratios (Sine, Cosine, Tangent) Parallel Lines and Perpendicular Lines Rules for Line Intersections More Types of Angles Congruent Triangles Bilateral Symmetry Transformations Dilations Quadrilaterals Area of a Parallelogram Area of a Triangle Area of a Trapezoid Polygons Circumference of a Circle Area of a Circle Area of Irregular Figures Planes and Polyhedrons Volume of a Prism Volume of a Cylinder Volume of a Pyramid Volume of a Cone Surface Area of Rectangular Prisms Surface Area of Cylinders Surface Area of a Cone Similar Solids Precision and Significant Digits
Unit V - Extending Algebra to Statistics and Polynomials
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 Frequency Distributions and Cumulative Frequency Distributions Fundamental Counting Principle Permutations Combinations The Basics of Probability Addition Rule (Probability “or”) Multiplication Rule (Probability “and”) Polynomials Adding Polynomials Subtracting Polynomials Multiplying a Polynomial by a Monomial Quadratic Functions Cubic Functions Graphing Quadratic Functions Graphing Cubic Functions