Skip to content

Algebra I Concept List

This list contains 200 concepts derived from the Algebra I course description, organized to support comprehensive learning graph generation.

Foundation Concepts (1-20)

  1. Number
  2. Variable
  3. Constant
  4. Coefficient
  5. Term
  6. Expression
  7. Equation
  8. Inequality
  9. Order of Operations
  10. Commutative Property
  11. Associative Property
  12. Distributive Property
  13. Identity Property
  14. Inverse Property
  15. Integers
  16. Rational Numbers
  17. Real Numbers
  18. Absolute Value
  19. Number Line
  20. Coordinate System

Exponents and Radicals (21-35)

  1. Exponent
  2. Base
  3. Power
  4. Integer Exponents
  5. Rational Exponents
  6. Negative Exponents
  7. Zero Exponent
  8. Product Rule for Exponents
  9. Quotient Rule for Exponents
  10. Power Rule for Exponents
  11. Scientific Notation
  12. Square Root
  13. Cube Root
  14. Radical Expression
  15. Simplifying Radicals

Algebraic Expressions (36-55)

  1. Evaluating Expressions
  2. Substitution
  3. Like Terms
  4. Combining Like Terms
  5. Simplifying Expressions
  6. Expanding Expressions
  7. Monomial
  8. Binomial
  9. Trinomial
  10. Polynomial
  11. Degree of Polynomial
  12. Leading Coefficient
  13. Standard Form of Polynomial
  14. Adding Polynomials
  15. Subtracting Polynomials
  16. Multiplying Polynomials
  17. FOIL Method
  18. Special Products
  19. Difference of Squares
  20. Perfect Square Trinomial

Factoring (56-70)

  1. Factoring
  2. Greatest Common Factor
  3. Factoring by GCF
  4. Factoring Trinomials
  5. Factoring Difference of Squares
  6. Factoring Perfect Squares
  7. Factoring by Grouping
  8. Prime Factorization
  9. Prime Polynomial
  10. Zero Product Property
  11. Solving by Factoring
  12. Factoring Completely
  13. Sum of Cubes
  14. Difference of Cubes
  15. Factoring Quadratic Form

Linear Equations (71-90)

  1. Solving Equations
  2. One-Step Equations
  3. Two-Step Equations
  4. Multi-Step Equations
  5. Variables on Both Sides
  6. Equations with Fractions
  7. Equations with Decimals
  8. Literal Equations
  9. Solving for a Variable
  10. Formula Manipulation
  11. Linear Equation in One Variable
  12. Solution Set
  13. Identity Equation
  14. Contradiction
  15. Conditional Equation
  16. Checking Solutions
  17. Applications of Linear Equations
  18. Consecutive Integers
  19. Perimeter Problems
  20. Distance Rate Time Problems

Linear Inequalities (91-100)

  1. Inequality
  2. Linear Inequality
  3. Inequality Symbols
  4. Graphing Inequalities
  5. Solving Linear Inequalities
  6. Compound Inequalities
  7. And Inequalities
  8. Or Inequalities
  9. Absolute Value Equations
  10. Absolute Value Inequalities

Relations and Functions (101-120)

  1. Relation
  2. Function
  3. Domain
  4. Range
  5. Input
  6. Output
  7. Function Notation
  8. Evaluating Functions
  9. Independent Variable
  10. Dependent Variable
  11. Vertical Line Test
  12. Discrete Function
  13. Continuous Function
  14. Piecewise Function
  15. Step Function
  16. Absolute Value Function
  17. Parent Function
  18. Function Transformation
  19. Translation
  20. Reflection

Linear Functions and Graphing (121-145)

  1. Coordinate Plane
  2. Ordered Pair
  3. X-Coordinate
  4. Y-Coordinate
  5. Origin
  6. Quadrants
  7. Plotting Points
  8. Linear Function
  9. Graph of a Line
  10. X-Intercept
  11. Y-Intercept
  12. Slope
  13. Rise
  14. Run
  15. Rate of Change
  16. Slope Formula
  17. Positive Slope
  18. Negative Slope
  19. Zero Slope
  20. Undefined Slope
  21. Slope-Intercept Form
  22. Point-Slope Form
  23. Standard Form
  24. Horizontal Line
  25. Vertical Line

Systems of Equations (146-160)

  1. System of Equations
  2. Solution of a System
  3. Consistent System
  4. Inconsistent System
  5. Independent System
  6. Dependent System
  7. Graphing Method
  8. Substitution Method
  9. Elimination Method
  10. Linear Combination
  11. System of Inequalities
  12. Graphing Systems
  13. Solution Region
  14. Boundary Line
  15. Applications of Systems

Quadratic Functions (161-180)

  1. Quadratic Function
  2. Parabola
  3. Vertex
  4. Axis of Symmetry
  5. Maximum Value
  6. Minimum Value
  7. Standard Form of Quadratic
  8. Vertex Form
  9. Graphing Quadratics
  10. Quadratic Equation
  11. Solving Quadratics by Graphing
  12. Solving by Square Roots
  13. Completing the Square
  14. Quadratic Formula
  15. Discriminant
  16. Nature of Roots
  17. Complex Numbers
  18. Imaginary Unit
  19. Applications of Quadratics
  20. Projectile Motion

Exponential Functions (181-190)

  1. Exponential Function
  2. Exponential Growth
  3. Exponential Decay
  4. Growth Factor
  5. Decay Factor
  6. Initial Value
  7. Compound Interest
  8. Exponential Models
  9. Comparing Linear and Exponential
  10. Graphing Exponentials

Data Analysis and Statistics (191-200)

  1. Data Set
  2. Scatterplot
  3. Correlation
  4. Positive Correlation
  5. Negative Correlation
  6. No Correlation
  7. Line of Best Fit
  8. Linear Regression
  9. Arithmetic Sequence
  10. Geometric Sequence

Notes

  • Each concept is numbered 1-200 for use as ConceptID in the dependency graph
  • Concepts are organized by topic area for easier review
  • All labels are in Title Case and under 32 characters
  • Labels represent entity names, not questions
  • Concepts cover the full breadth of Algebra I content from the course description