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Unit 1: Linear and Quadratic Review

• Graphing Lines and Parabolas (Quick Refresher)
• Factoring Advanced Quadratics (Box & Tile Models)
• Completing the Square Step-by-Step
• Quadratic Formula Applications
• Modeling Real-Life with Quadratics

Unit 2: Polynomials

• Polynomial Terminology & Structure
• Adding/Subtracting/Multiplying Polynomials
• Polynomial Division (Long and Synthetic)
• Remainder & Factor Theorems (Visual Explanation)
• Graphing Polynomial Functions (End Behavior & Turning Points)

Unit 3: Rational Expressions and Equations

• Simplifying Rational Expressions with Visuals
• Multiplying & Dividing Rational Expressions
• Adding & Subtracting with Common Denominators
• Solving Rational Equations (LCD Method)
• Applications in Context (Rates, Work Problems)

Unit 4: Radical Functions and Complex Numbers

• Simplifying Radicals Using Area Models
• Adding, Subtracting, and Multiplying Radicals
• Rationalizing Denominators
• Imaginary and Complex Numbers (Visual Number Line Extension)
• Solving Equations with Complex Solutions

Unit 5: Exponential and Logarithmic Functions

• Exponent Rules Refresher with Models
• Graphing Exponential Growth & Decay
• Introducing Logarithms Visually (Inverse Thinking)
• Log Laws: Product, Quotient, Power Rules
• Solving Exponential & Log Equations

Unit 6: Sequences and Series

• Arithmetic Sequences with Patterns and Diagrams
• Geometric Sequences (Growth Models)
• Summation Notation & Series (Sigma Explained)
• Recursive vs. Explicit Formulas

Unit 7: Trigonometry

• Intro to Trig Ratios (Using Triangles and Grid Models)
• Unit Circle Overview with Animations
• Graphing Sine, Cosine, and Tangent
• Solving Basic Trig Equations
• Law of Sines and Cosines (Visual Proofs)

Unit 8: Probability and Statistics

• Counting Principles, Permutations & Combinations (Tree Diagrams)
• Conditional Probability
• Normal Distributions (Visual Bell Curve)
• Binomial Probability with Real Examples

Unit 9: Systems of Equations and Inequalities

• Solving Nonlinear Systems Graphically
• Systems with Three Variables
• Linear Programming with Graphical Constraints