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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
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