Lesson plan

Evaluating geometric sequences by applying the explicit rule

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 sequences and how they are functions. The task starts with the ancient legend of an Indian king who loves the game of chess. A wager is made and the king agrees to pay his adversary by putting a single grain of rice on a chessboard, doubling the amount for each square on the board. Students analyze this situation and represent it in mathematical terms. This builds towards students’ ability to analyzing number sets and developing an intuitive understanding of the difference between arithmetic and geometric sequences. Vocabulary: function, sequence, geometric sequence, explicit rule, term Special Materials: None