Lesson plan

Analyzing arithmetic sequences by using the explicit rule and pattern recognition

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: Relationships between sets of numbers can be represented as tables, graphs, and equations. A function is a set of related numbers. This lesson builds on the concept of the function and using function notation. The task has students engaging in pattern recognition by analyzing arithmetic sequences. Given a set of numbers, students will determine the next numbers in the sequence. Then, students will analyze a bridge structure looking for the pattern between sections of a bridge and the number of beams needed. From this analysis, students will determine the explicit rule for this arithmetic sequence and determine the range for any given domain. This builds towards understanding that sequences are functions and that they can represent the number sets in multiple ways. Vocabulary: function, sequence, arithmetic sequence Special Materials: Optional: toothpicks or straws or some other material to represent beams.