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Mathematics

Algebra 1 Honors

Algebra 1 Honors provides an accelerated and in-depth study of foundational algebra. Students investigate equations, inequalities, systems, functions, exponents, polynomials, quadratics, statistics, and mathematical modeling. The course emphasizes nonroutine problems, connections between algebraic and graphical representations, precise justification, and the ability to select efficient strategies independently.

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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. 1-2PracticeProperties of Real Numbers
    3. 1-3PracticeSimplifying Algebraic Expressions
    4. 1-4PracticeUnits and Dimensional Analysis
    5. 1-5PracticeAlgebraic Reasoning with Constraints and Parameters
    6. 1-QQuizUnit 1 Quiz

  2. Learning unit 2: Solving Linear Equations and Inequalities

    1. 2-1PracticeMulti-Step Linear Equations
    2. 2-2PracticeLinear Equations Involving Fractions and Decimals
    3. 2-3PracticeLiteral Equations and Rearranging Formulas
    4. 2-4PracticeIdentities, Contradictions, and Number of Solutions
    5. 2-5PracticeLinear Inequalities
    6. 2-6PracticeCompound Inequalities and Interval Notation
    7. 2-7PracticeLinear Equations and Inequalities Word Problems
    8. 2-8PracticeEquations with Absolute Values
    9. 2-9PracticeInequalities with Absolute Values
    10. 2-10PracticeLinear Equations and Inequalities with Parameters
    11. 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 Equations Word Problems
    7. 3-7PracticeSystems of Linear Inequalities
    8. 3-8PracticeModeling with Systems
    9. 3-9PracticeSystems of Three Linear Equations
    10. 3-10PracticeSystems Involving Parameters
    11. 3-QQuizUnit 3 Quiz

  4. Assessment checkpoint: Test 1

    1. T1TestTest 1Covers Unit 1–3

  5. Learning unit 4: Relations and Functions

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

  6. Learning unit 5: Absolute Value Functions 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. 5-8PracticeMulti-Condition Piecewise Models
    9. 5-QQuizUnit 5 Quiz

  7. Learning unit 6: Exponents and Radicals

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

  8. Learning unit 7: Exponential 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. 7-10PracticeAdvanced Exponential Modeling
    11. 7-QQuizUnit 7 Quiz

  9. Learning unit 8: Sequences

    1. 8-1PracticeIntroduction to Sequences
    2. 8-2PracticeExplicit and Recursive Rules
    3. 8-3PracticeArithmetic Sequences
    4. 8-4PracticeGeometric Sequences
    5. 8-5PracticeGeometric Growth and Decay
    6. 8-6PracticeApplications of Sequences
    7. 8-QQuizUnit 8 Quiz

  10. Assessment checkpoint: Test 2

    1. T2TestTest 2Covers Unit 4–8

  11. Assessment checkpoint: Exam I

    1. E1ExamExam ICovers Unit 1–8

  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. 9-6PracticeFactoring Trinomials
    6. 9-7PracticeFactoring by Grouping
    7. 9-8PracticeDifference of Squares
    8. 9-9PracticeSum and Difference of Cubes
    9. 9-10PracticePolynomial Identities and Advanced Factoring
    10. 9-QQuizUnit 9 Quiz

  13. 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 Quadratic Equations by Factoring
    7. 10-7PracticeSolving Quadratic Equations 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. 10-13PracticeQuadratic-Linear Systems
    14. 10-14PracticeQuadratic-Linear Systems with Parameters
    15. 10-QQuizUnit 10 Quiz

  14. Assessment checkpoint: Test 3

    1. T3TestTest 3Covers Unit 9–10

  15. Learning unit 11: Various Functions

    1. 11-1PracticeParent Functions
    2. 11-2PracticeEnd Behavior
    3. 11-3PracticeSquare Root Functions
    4. 11-4PracticeCube Root Functions
    5. 11-5PracticeComparing Function Families
    6. 11-6PracticeTransformations Across Function Families
    7. 11-QQuizUnit 11 Quiz

  16. Learning unit 12: Data Analysis and Statistics

    1. 12-1PracticeMeasures of Center
    2. 12-2PracticeMeasures of Spread
    3. 12-3PracticeStandard Deviation
    4. 12-QQuizUnit 12 Quiz

  17. Learning unit 13: Applications of Algebra 1

    1. 13-1PracticeMathematical Modeling
    2. 13-2PracticeDistance, Rate, and Time
    3. 13-3PracticeMixture Problems
    4. 13-4PracticePrecent and Financial Applications
    5. 13-5PracticeGeometry Applications
    6. 13-6PracticeChoosing an Appropriate Function Model
    7. 13-7PracticeMulti-Step Algebraic Modeling
    8. 13-8PracticeNon-Routine Algebraic Modeling and Optimization
    9. 13-QQuizUnit 13 Quiz

  18. Assessment checkpoint: Test 4

    1. T4TestTest 4Covers Unit 11–13

  19. Assessment checkpoint: Exam II

    1. E2ExamExam IICovers Unit 9–13

  20. Assessment checkpoint: Final Exam

    1. FExamFinal ExamCovers Unit 1–13

Quick reference

Formula sheets

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Algebra 1 Formulas

Algebra 1 Cumulative

A cumulative formula sheet for students taking Algebra 1.

21 sections