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Mathematics

Algebra 1 Intermediate

This course develops the core language and techniques of algebra through clear instruction, structured practice, and real-world applications. Students learn to represent relationships with expressions, equations, graphs, and tables; solve multi-step problems; analyze linear and nonlinear functions; and communicate mathematical reasoning accurately. The comprehensive pacing builds confidence while preparing students for future courses in geometry and advanced algebra.

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Course pathway

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Browse published learning materials and assessment checkpoints across this course.

  1. Learning unit 1: Fundamentals of Algebra (Pre-Algebra)

    1. 1-1PracticeThe Real Number System
    2. 1-2PracticeOperations with Real Numbers
    3. 1-3PracticeOrder of Operations
    4. 1-4PracticeProperties of Real Numbers
    5. 1-5PracticeFractions, Decimals, and Percents
    6. 1-6PracticeRatios, Rates, and Proportions
    7. 1-7PracticePowers and Roots
    8. 1-8PracticeIntroduction to Algebraic Expressions
    9. 1-9PracticeSimplifying Algebraic Expressions
    10. 1-10PracticeEvaluating Expressions and Formulas
    11. 1-11PracticeTranslating Verbal Expressions into Algebra
    12. 1-12PracticeUnits and Dimensional Analysis
    13. 1-QQuizUnit 1 Quiz

  2. Learning unit 2: Solving Linear Equations and Inequalities

    1. 2-1PracticeOne-Step Linear Equations
    2. 2-2PracticeMulti-Step Linear Equations
    3. 2-3PracticeEquations with Variables on Both Sides
    4. 2-4PracticeEquations Involving Fractions and Decimals
    5. 2-5PracticeLiteral Equations and Rearranging Formulas
    6. 2-6PracticeIdentities, Contradictions, and Number of Solutions
    7. 2-7PracticeLinear Inequalities
    8. 2-8PracticeCompound Inequalities and Interval Notation
    9. 2-9PracticeLinear Equations and Inequalities Word Problems
    10. 2-QQuizUnit 2 Quiz

  3. Learning unit 3: Systems of Linear Equations and Inequalities

    1. 3-1PracticeIntroduction to Systems of Equations
    2. 3-2PracticeSolving Systems by Graphing
    3. 3-3PracticeSolving Systems by Substitution
    4. 3-4PracticeSolving Systems by Elimination
    5. 3-5PracticeSystems with No Solution or Infinitely Many Solutions
    6. 3-6PracticeSystems of Equation Word Problems
    7. 3-7PracticeSystems of Linear Inequalities
    8. 3-8PracticeModeling with Systems
    9. 3-QQuizUnit 3 Quiz

  4. Assessment checkpoint: Test 1

    1. T1TestTest 1Covers Unit 1–3

  5. Learning unit 4: Relations and Functions

    1. 4-1PracticeRelations and Ordered Pairs
    2. 4-2PracticeFunctions and the Vertical Line Test
    3. 4-3PracticeFunction Notation
    4. 4-4PracticeEvaluating Functions
    5. 4-5PracticeDomain and Range
    6. 4-6PracticeIndependent and Dependent Variables
    7. 4-7PracticeRate of Change and Slope
    8. 4-8PracticeLinear Functions
    9. 4-9PracticeSlope-Intercept, Point-Slope, and Standard Forms
    10. 4-10PracticeParallel and Perpendicular Lines
    11. 4-11PracticeTransformations of Functions
    12. 4-QQuizUnit 4 Quiz

  6. Learning unit 5: Absolute Value and Piecewise Functions

    1. 5-1PracticeThe Absolute Value Function
    2. 5-2PracticeTransformations of Absolute Value Functions
    3. 5-3PracticeWriting Absolute Value Functions
    4. 5-4PracticeIntroduction to Piecewise Functions
    5. 5-5PracticeEvaluating Piecewise Functions
    6. 5-6PracticeGraphing Piecewise Functions
    7. 5-7PracticeModeling with Piecewise Functions
    8. 5-QQuizUnit 5 Quiz

  7. Learning unit 6: Exponents and Radicals

    1. 6-1PracticeProperties of Exponents
    2. 6-2PracticeZero and Negative Exponents
    3. 6-3PracticeScientific Notation
    4. 6-4PracticeSquare Roots and Cube Roots
    5. 6-5PracticeSimplifying Radical Expressions
    6. 6-6PracticeOperations with Radicals
    7. 6-7PracticeRational Exponents
    8. 6-8PracticeSolving Radical Equations
    9. 6-QQuizUnit 6 Quiz

  8. Learning unit 7: Exponential Equations and Functions

    1. 7-1PracticeIntroduction to Exponential Functions
    2. 7-2PracticeExponential Growth
    3. 7-3PracticeExponential Decay
    4. 7-4PracticeGraphing Exponential Functions
    5. 7-5PracticeTransformations of Exponential Functions
    6. 7-6PracticeComparing Linear and Exponential Models
    7. 7-7PracticePercent Growth and Decay
    8. 7-8PracticeCompound Interest
    9. 7-9PracticeSolving Exponential Equations Using Common Bases
    10. 7-QQuizUnit 7 Quiz

  9. Assessment checkpoint: Test 2

    No published items yet.

  10. Assessment checkpoint: Exam I

    No published items yet.

  11. Learning unit 8: Sequences

    1. 8-1PracticeIntroduction to Sequences
    2. 8-2PracticeExplicit and Recursive Rules
    3. 8-3PracticeArithmetic Sequences
    4. 8-4PracticeGeometric Sequences
    5. 8-QQuizUnit 8 Quiz

  12. Learning unit 9: Polynomials

    1. 9-1PracticeIntroduction to Polynomials
    2. 9-2PracticeAdding and Subtracting Polynomials
    3. 9-3PracticeMultiplying Polynomials
    4. 9-4PracticeSpecial Polynomial Products
    5. 9-5PracticeFactoring Greatest Common Factors
    6. 9-6PracticeFactoring Trinomials
    7. 9-7PracticeFactoring by Grouping
    8. 9-8PracticeDifference of Squares
    9. 9-9PracticeSolving Equations by Factoring
    10. 9-10PracticeSum and Difference of Cubes
    11. 9-QQuizUnit 9 Quiz

  13. Assessment checkpoint: Test 3

    No published items yet.

  14. Learning unit 10: Quadratic Equations and Functions

    1. 10-1PracticeIntroduction to Quadratic Functions
    2. 10-2PracticeGraphing Parabolas
    3. 10-3PracticeVertex Form
    4. 10-4PracticeStandard Form and Axis of Symmetry
    5. 10-5PracticeTransformations of Quadratic Functions
    6. 10-6PracticeSolving Quadratics by Factoring
    7. 10-7PracticeSolving Quadratic Using Square Roots
    8. 10-8PracticeCompleting the Square
    9. 10-9PracticeThe Quadratic Formula
    10. 10-10PracticeThe Discriminant
    11. 10-11PracticeQuadratic Word Problems
    12. 10-12PracticeMaximum and Minimum Problems
    13. 10-QQuizUnit 10 Quiz

  15. Learning unit 11: Data Analysis and Statistics

    1. 11-1PracticeTypes of Data
    2. 11-2PracticeMeasures of Center
    3. 11-3PracticeMeasures of Spread
    4. 11-4PracticeStandard Deviation
    5. 11-QQuizUnit 11 Quiz

  16. Assessment checkpoint: Test 4

    No published items yet.

  17. Assessment checkpoint: Exam II

    No published items yet.

  18. Assessment checkpoint: Final Exam

    No published items yet.