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Enhancing Conceptual Understanding of Sequences in Algebra 1 Using the 5E Model
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2025-12
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This curriculum project presents a four-lesson instructional sequence designed to support middle school Algebra 1 students in developing conceptual understanding of arithmetic, geometric, and Fibonacci sequences. Grounded in research on the 5E instructional model, the curriculum emphasizes exploration, discussion, and meaning-making as essential components of mathematical learning. Students begin by examining numerical patterns, then progress to additive and multiplicative relationships before extending their reasoning to the recursive structure of the Fibonacci sequence. The literature review informing this project highlights the importance of pattern recognition in fostering algebraic thinking and the roles of inquiry-based approaches in promoting student engagement. The curriculum integrates real-world examples and interdisciplinary connections into four lessons with plans for teachers and student-ready materials to use in the classroom. The lessons demonstrate the relevance of mathematical patterns beyond the classroom. This project provides an accessible, research-based framework that supports student reasoning, strengthens algebraic foundations, and encourages curiosity about the mathematical structures present in everyday life. All keys to student-ready materials are in the Appendix.