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A Complete Virginia SOL Algebra 1 Math Course with a Personal Math Teacher

168 lessons covering all topics on the Virginia SOL Algebra 1® math test. Every lesson features video examples, guided practice, interactive self-tests, printable worksheets, and more.

 
Virginia SOL Algebra 1 Math Reviews

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Virginia SOL Algebra 1 Math Scope & Sequence
CHAPTER 1: REAL NUMBERS 
Unit 1: Properties and Rules 001: Exponents
    002: Order of Operations
    003: Grouping Symbols
    004: Variables
    005: Addition Properties
    006: Multiplication Properties
Unit 2: Integers and the Number Line 007: Graphing and Writing Integers
    008: Comparing Integers
    009: Opposites and Absolute Value
Unit 3: Decimal Concept 010: Understanding Decimals
    011: Converting Decimals to Fractions
    012: Converting Fractions to Decimals
Unit 4: Scientific Notation 013: Powers of Ten
    014: Converting from Scientific to Standard Notation
    015: Converting from Standard to Scientific Notation
Unit 5: Rational and Irrational Numbers 016: Terminating and Repeating Decimals
    017: Determining if a Number is Rational or Irrational
CHAPTER 2: RATIO, PROPORTION, AND PERCENT 
Unit 1: Ratio 018: Introduction to Ratios
    019: Equal Ratios
    020: Unit Rate
Unit 2: Proportion 021: Introduction to Proportion
    022: Solving Proportions
    023: Word Problems
Unit 3: Percent Concept 024: Understanding Percents
    025: Fractions and Percents
    026: Decimals and Percents
Unit 4: Percent Problems 027: Percent of a Number
    028: Percent One Number is of Another
    029: Using Percent to Find a Number
    030: Percent Increase or Decrease
Unit 5: Percent Applications 031: Discount
    032: Sales Tax
    033: Interest
CHAPTER 3: GEOMETRY 
Unit 1: Lines and Angles 034: Points, Lines, Segments, and Rays
    035: Classifying Lines
    036: Angles
    037: Measuring Angles
    038: Complementary and Supplementary Angles
Unit 2: 2-Dimensional Figures 039: Angles of a Triangle
    040: Sides of a Triangle
    041: Polygons
    042: Quadrilaterals
    043: Circles
Unit 3: 3-Dimensional Figures 044: Classifying 3-Dimensional Figures
    045: Nets
Unit 4: Congruent and Similar Figures 046: Congruent Figures
    047: Similar Figures
    048: Problem Solving with Similar Figures
    049: Symmetry
Unit 5: Graphing and Transformations 050: The Coordinate Grid
    051: Transformations
    052: Reflections
    053: Translations
    054: Rotations
    055: Dilations
CHAPTER 4: MEASUREMENT 
Unit 1: Perimeter and Circumference 056: Perimeter
    057: Circumference
    058: Word Problems
Unit 2: Area 059: Area of Squares and Rectangles
    060: Area of Triangles
    061: Area of Parallelograms and Trapezoids
    062: Area of a Circle
    063: Changing Dimensions
    064: Word Problems
Unit 3: Surface Area and Volume 065: Surface Area
    066: Volume of Prisms and Pyramids
    067: Volume of Cylinders, Spheres, and Cones
    068: Word Problems
Unit 4: Right Triangles 069: Square Roots
    070: Using Square Roots to Solve Equations
    071: Pythagorean Theorem
    072: Pythagorean Triples
CHAPTER 5: PROBABILITY AND STATISTICS 
Unit 1: Common Graphs and Charts 073: Pictographs and Line Plots
    074: Bar Graphs
    075: Line Graphs
    076: Circle Graphs
Unit 2: Representing Data 077: Stem-and-Leaf Plots and Frequency Tables
    078: Histograms
    079: Scatterplots and Trends
Unit 3: Central Tendency 080: Range, Median, and Mode
    081: Box-and-Whisker Plots
    082: Mean
    083: Word Problems
CHAPTER 6: SIMPLIFYING 
Unit 1: Positives and Negatives 084: Addition and Subtraction
    085: Multiplication and Division
Unit 2: Order of Operations/Evaluation 086: Order of Operations
    087: Evaluation
    088: Integers
Unit 3: Simplifying with Variables 089: Combining Like Terms
    090: Distributive Property
    091: Distributive / Like Terms
CHAPTER 7: EQUATIONS 
Unit 1: Algebraic Concepts 092: Variables, Expressions, and Equations
    093: Using Algebra Tiles to Model Algebraic Equations
Unit 2: Beginning Equations 094: One-Step Equations
    095: Two-Step Equations
Unit 3: Intermediate Equations 096: Equations with Fractions
    097: Equations Involving Distributive
Unit 4: Advanced Equations 098: Variable on Both Sides
    099: Variable on Both Sides / Fractions
    100: Variable on Both Sides / Distributive
Unit 5: Equations with Decimals 101: Integer Solutions
    102: Decimal Solutions
Unit 6: Fractions and Formulas 103: Fractional Solutions
    104: Beginning Formulas
Unit 7: Introductory Word Problems 105: Translating English to Algebra
    106: Number Problems
    107: Geometry Problems
CHAPTER 8: INEQUALITIES, FUNCTIONS, AND GRAPHING 
Unit 1: Inequalities 108: Solving and Graphing Inequalities
Unit 2: Functions 109: Domain and Range
    110: Definition of a Function
    111: Function and Arrow Notation
    112: Domain and Range
Unit 3: Graphing 113: Graphing within a Given Domain
    114: Graphing Lines
    115: The Intercept Method
    116: Graphing Inequalities in Two Variables
CHAPTER 9: LINEAR EQUATIONS 
Unit 1: Introduction to Linear Equations and Functions 117: Recognizing Patterns
    118: Patterns and Table Building
    119: Word Problems and Table Building
    120: Slope as a Rate of Change
Unit 2: Lines and Slope 121: Using the Graph of a Line to Find Slope
    122: Using Slope to Graph a Line
Unit 3: Coordinates and Slope 123: Using Coordinates to Find Slope (Graphs and Tables)
    124: Using Coordinates to Find Slope
Unit 4: Slope-Intercept Form 125: Using Slope-Intercept Form to Graph a Line
    126: Converting to Slope-Intercept Form and Graphing
    127: Linear Parent Graph and Transformations
Unit 5: Equations of Lines and Variation 128: Using Graphs and Slope-Intercept Form
    129: Using Tables and Slope-Intercept Form
    130: Direct Variation
    131: Applications of Direct Variation and Linear Functions
Unit 6: Writing Equations of Lines 132: Standard Form
    133: The Point-Slope Formula
    134: Given Two Points
    135: Parallel and Perpendicular
CHAPTER 10: SYSTEMS OF EQUATIONS 
Unit 1: Solving Systems 136: By Graphing
    137: By Addition
    138: By Substitution
Unit 2: Word Problems 139: Number and Value Problems
CHAPTER 11: EXPONENTS AND POLYNOMIALS 
Unit 1: Exponent Rules 140: The Product Rule
    141: The Power Rule
    142: The Quotient Rule
Unit 2: Advanced Exponent Problems 143: Numerical Bases and Exponents of Zero
    144: Combining Exponent Rules
Unit 3: Multiplying Polynomials 145: The Distributive Property
    146: F.O.I.L.
CHAPTER 12: FACTORING  
Unit 1: Greatest Common Factor 147: Rules for Finding the G.C.F.
    148: Factoring Out the G.C.F.
Unit 2: Factoring Special Polynomials 149: Special Trinomials with Positive Constant
    150: Special Trinomials with Negative Constant
    151: Difference of Two Squares
Unit 3: Advanced Trinomial Factoring 152: Coefficient on x^2 Term, Positive Constant
    153: Coefficient on x^2 Term, Negative Constant
    154: Factoring Out G.C.F. as First Step
Unit 4: Polynomial Equations 155: Beginning Equations
CHAPTER 13: RADICALS 
Unit 1: Beginning Radicals 156: Simplifying Radicals
    157: Multiplying Radicals
    158: Dividing Radicals
Unit 2: Advanced Radicals 159: Addition and FOILing
Unit 3: Radical Equations 160: Beginning Equations
CHAPTER 14: QUADRATICS 
Unit 1: Graphing Quadratic Functions 161: Linear or Quadratic
    162: Graphs of Quadratic Functions and Beginning Transformations
    163: Graphs of Quadratic Functions and Advanced Transformations
    164: Solving Quadratic Equations by Graphing
Unit 2: Completing the Square 165: Square Rooting Both Sides
    166: Beginning Completing The Square
    167: Advanced Completing The Square
Unit 3: The Quadratic Formula 168: Beginning Quadratic Formula

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