PreAP Algebra 2 Year at a Glance

• Course Overview:

Pre-AP Algebra 2 is designed to deepen students’ understanding of functions, algebraic reasoning, and real-world modeling. This rigorous course prepares students for upper-level math, including AP Precalculus, AP Statistics, and AP Calculus. It emphasizes multiple representations, connections across topics, and problem-solving strategies essential for success in STEM and health-related fields.

🟦 Unit 1: Expressions, Equations and Inequalities

• Interval Notation

• Properties of Real Numbers

• Order of Operations

• Evaluating Algebraic Expressions

• Simplifying Algebraic Expressions

• Solving Linear Equations and Inequalities

• Solving Literal Equations

• Problem Solving with Equations/Inequalities

• Solving Absolute Value Equations and Inequalities

🟦 Unit 2: Linear Functions

• Slope

• Rate of Change

• Equations of Lines

• Parallel and Perpendicular Lines

• Linear Models

• Lines of Best Fit

• Piecewise Functions

🟦 Unit 3: Systems of Equations and Matrices

• Solving 2x2 Systems

• Graphing Method

• Substitution Method

• Elimination Method

• Solving 3x3 Systems

• Matrix Operations

• Determinant of a Matrix

• Inverse Matrices

• Cramer’s Rule

🟦 Unit 4: Quadratics

• Standard Form

• Vertex Form

• Intercept Form

• Factoring

• Solving by Factoring

• Complex Numbers

• Solving by Completing the Square

• Solving by Quadratic Formula

• Quadratic Models

🟦 Unit 5: Polynomial Functions

• Graphs of Polynomial Functions

• Factoring Polynomial Functions

• Solving Polynomial Equations

• Polynomial Long Division

• Synthetic Substitution

• Synthetic Division

• Factor Theorem

• Writing Polynomial Functions and Models

🟦 Unit 6: Rational Exponents and Radical Functions

• Exponent Rules

• Evaluating Exponent Expressions

• Function Operations

• Function Composition

• Inverse Functions

• Radical Functions

• Solving Radical Equations

🟦 Unit 7: Exponential and Logarithmic Functions

• Exponential Growth

• Exponential Decay

• Using e

• Definition of Logarithm

• Properties of Logarithms

• Solving Exponential Equations

• Solving Logarithmic Equations

• Exponential Models

• Logarithmic Models

• Power Models

🟦 Unit 8: Rational Functions

• Inverse and Joint Variation

• Graphing Rational Functions

• Discontinuities of Rational Functions

• End Behavior of Rational Functions

• Operations of Rational Expressions

• Solve Rational Equations

• Solve Rational Inequalities

🟦 Unit 9: Conics

• Distance Formula

• Midpoint Formula

• Circles

• Parabolas

• Ellipses

• Hyperbolas

• Systems of equations

🟦 Unit 10: Sequences and Series

• Arithmetic Sequences and Series

• Geometric Sequences and Series

• Sums of Infinite Series

🟦 Unit 11: Estimating Area Under a Curve

• Left-Hand Rectangle Method

• Right-Hand Rectangle Method

• Midpoint Rectangle Method

• Trapezoid Method

🟦 Unit 12: Motion of Particles

• Position Function

• Velocity Function

• Acceleration Function

Tutorial Videos

       Algebra 2