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Algebra I Topics

  • Expressions and Algebraic Operations

    • Polynomial operations

    • Polynomial applications

    • Naming polynomials

    • Literal equations

    • Dimensional analysis

  • Exponents and Radicals

    • Exponent operations

    • Radical simplification

    • Radical operations

  • Equations and Inequalities

    • Multi-step equations

    • Absolute value equations

    • Linear inequalities

    • Systems of inequalities

  • Systems of Equations

    • Graphing method

    • Substitution method

    • Elimination method

    • Word problem applications

  • Functions and Graphing

    • Function concepts

    • Function notation and evaluation

    • Linear vs nonlinear functions

    • Rate of change

    • Function transformations

    • Even and odd functions

  • Linear Functions

    • Slope formula

    • Writing linear equations

    • Graphing linear functions

    • Parallel and perpendicular lines

  • Quadratic Equations and Functions

    • Factoring (GCF, DOTS, grouping, trinomial)

    • Solving by square root

    • Completing the square

    • Quadratic formula

    • Quadratic inequalities

  • Quadratic function analysis

    • Standard, vertex, and factored forms

    • Transformations

    • Converting between forms

    • Graph characteristics

    • Quadratic word problems

  • Exponential Functions

    • Exponential graphs

    • Transformations

    • Exponential word problems

    • Compound interest applications

  • Sequences

    • Arithmetic sequences

    • Geometric sequences

  • Geometry Connections

    • Pythagorean Theorem

    • Angles

    • Triangle congruence

    • Trigonometric ratios

  • Understanding Data and Graphs

    • Reading and interpreting tables and graphs

    • Scatter plots and data patterns

    • Identifying trends and relationships in data

  • Correlation and Data Interpretation

    • Positive/Negative/No correlations

    • Correlation Coefficients

  • Linear Models and Data Relationships

    • Line of best fit

    • Interpreting slope and rate of change

    • Predicting values using linear models

Algebra 1 introduces students to the fundamental concepts of algebra and mathematical modeling. At Dr. Ahn Math & Learning Center, students develop strong problem-solving skills and learn how to analyze equations, functions, and real-world mathematical relationships. 6

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