Lesson plan

Understand recursive sequences by exploring the pattern in the Fibonacci numbers

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.A.2 http://corestandards.org/Math/Content/HSF/IF/A/2
teaches Common Core State Standards CCSS.Math.Content.HSF-IF.A.3 http://corestandards.org/Math/Content/HSF/IF/A/3
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Big Ideas: Recursive sequences are functions. Mathematical concepts are not only useful, but are also beautiful and reflected in nature. This lesson builds on students' understanding of functions number sets and applies that understanding to recursive sequences. The task has students prove that the Fibonacci numbers are both a recursive sequence and a function. As inspired by nature, students will then further explore patterns and structure of the Fibonacci sequence by creating their own graphical representation of this famous sequence. This builds towards engagement in the beauty of mathematical ideas and develops students' ability to apply mathematical notation to number patterns. Vocabulary: relationship, function, set, sequence, recursion, recursive, sequence