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Aligned with Georgia Standards of Excellence (GSE)

Course Title: Advanced Algebra: Concepts & Connections

Course Description

This course builds on Algebra I concepts and introduces more advanced algebraic thinking. It is designed for students receiving special education services and includes accommodations and modifications to support diverse learning needs. Emphasis is placed on real-world applications, problem-solving strategies, and developing mathematical confidence.

Course Goals

By the end of this course, students will:

• Solve and graph linear, quadratic, and exponential functions.
• Understand and apply systems of equations and inequalities.
• Explore polynomials, factoring, and rational expressions.
• Use algebraic models to represent and solve real-world problems.
• Strengthen mathematical reasoning and communication skills.

Pacing Guide with Standards

Descriptive Statistics & Linear Functions

Standards: AA.DSR.1–3, AA.REI.1–3

Topics:

• Measures of center and spread
• Sampling methods and bias
• Linear equations, slope, and graphing
• Real-world modeling with linear functions

Quarter 2: Systems & Quadratic Functions

Standards: AA.REI.4–6, AA.QF.1–4

Topics:

• Solving systems by graphing, substitution, elimination
• Factoring quadratics
• Quadratic formula and completing the square
• Graphing and interpreting parabolas

Exponentials & Polynomials

Standards: AA.EF.1–3, AA.APR.1–3

Topics:

• Laws of exponents
• Exponential growth and decay
• Polynomial addition, subtraction, multiplication
• Factoring techniques and applications

Rational Expressions & Review

Standards: AA.RP.1–3, AA.MP

Topics:

• Simplifying rational expressions
• Solving rational equations
• Cumulative review and test prep
• Final project or portfolio

Instructional Strategies

• Small group instruction
• Visual aids and manipulatives
• Graphic organizers
• Technology integration (e.g., Desmos, Khan Academy)
• Frequent checks for understanding
• Scaffolded assignments and assessments

Assessment Methods

• Weekly quizzes and exit tickets
• Unit tests with accommodations
• Projects and presentations
• Class participation and engagement
• Modified final exam or portfolio

Materials Needed

• Notebook or binder
• Calculator (TI-30XS or similar)-Provided
• Chromebook or tablet - Provided
• Pencils, highlighters, and graph paper

Support Services

• Co-teaching or push-in support
• IEP accommodations and modifications
• Regular communication with families
• Progress monitoring and goal tracking