**Title:** Marathon Math

**Description:**
This unit on sequences and series is intended to help students make the connection from math to real life situations. Developing a marathon training program for a beginner runner is one simple way that students may use patterns in real life. The total mileage per week usually creates a pattern over time. Mathematical operations on patterns, sequences, and series enable students to do the calculations necessary for exploring the pattern. Students also explore nutrition information needed for a training program as proper nutrition is an important part of sports training.

**Standard(s): **

[ELA2013] (9) 28: Draw evidence from literary or informational texts to support analysis, reflection, and research. [W.9-10.9]

[ELA2013] (9) 27: Gather relevant information from multiple authoritative print and digital sources, using advanced searches effectively; assess the usefulness of each source in answering the research question; integrate information into the text selectively to maintain the flow of ideas, avoiding plagiarism and following a standard format for citation. [W.9-10.8]

[ELA2013] (9) 26: Conduct short as well as more sustained research projects to answer a question (including a self-generated question) or solve a problem; narrow or broaden the inquiry when appropriate; synthesize multiple sources on the subject, demonstrating understanding of the subject under investigation. [W.9-10.7]

[TC2] CA2 (9-12) 11: Critique digital content for validity, accuracy, bias, currency, and relevance.

[MA2013] DM1 (9-12) 3: Use the recursive process and difference equations to create fractals, population growth models, sequences, series, and compound interest models. (Alabama)

[MA2013] DM1 (9-12) 2: Determine characteristics of sequences, including the Fibonacci sequence, the triangular numbers, and pentagonal numbers. (Alabama)

[MA2013] AL1 (9-12) 38: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). [F-LE2]

[MA2013] AL1 (9-12) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]

[MA2013] AL1 (9-12) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [F-IF3]