1. General Introduction / Course Learning Outcomes
General introduction:
Algebra I is the first foundational course in the college-preparatory mathematics sequence. It is a one-year course that fulfills the Algebra I math sequence requirement and is required for graduation. The course helps students move from “following procedures” to “thinking with symbols”—using algebra to represent, analyze, and solve problems.
Learning outcomes:
By the end of the course, students can:
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Build a strong algebraic foundation to prepare for higher-level courses such as Geometry, Algebra II, and advanced mathematics.
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Develop logical reasoning, problem-solving skills, and connect mathematics to real-world applications.
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Write and solve equations and inequalities (especially linear), and work flexibly with algebraic expressions.
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Work confidently with key function families (linear, quadratic, exponential)—representing, analyzing, interpreting, and applying them in context.
2. Content Overview
Algebra I focuses on the following core areas:
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Real numbers and their properties: number systems, absolute value, and properties that support algebraic reasoning.
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Equations and inequalities: writing and solving linear equations/inequalities and interpreting solutions in context.
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Algebraic expressions and transformations: constructing, simplifying, rewriting equivalent forms, and evaluating expressions.
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Polynomials and factoring: working with polynomials and applying factoring techniques.
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Functions and modeling:
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Linear functions
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Quadratic functions
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Exponential functions
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Statistics and probability: foundational data analysis and probability concepts.
3. Learning and Teaching Approach
The online course is designed for “learning to do,” using modern instructional models:
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Inquiry-based learning: students explore patterns, test strategies, and draw conclusions rather than memorizing formulas.
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Blended learning: students learn through teacher-created video lessons; interactive work focuses on practice, error correction, and targeted support.
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Backwards design: lessons are planned from intended outcomes to ensure activities and assessments align with academic standards.
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Personalized instruction: learning is adjusted to students’ pace and ability using progress tracking and individualized pathways.
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Project-based learning (PBL/STEAM): real-world tasks and cross-curricular projects help students apply algebra to meaningful problems.
Lessons:
