Reflection: Developing a Conceptual Understanding Infinity and Beyond! - Section 3: Wrap it Up


Some of the compare/contrast summaries surprised me with their clear understanding about r^n approaching zero so long as the original ratio is between -1 and 1.  I overheard one student explaining it to a classmate like this; "Just think about if you start with a cake and you take one fourth of it, then cut that piece into four and take one of those little pieces, then cut that into four...pretty soon you won't have a piece big enough to even cut!"  I really liked the analogy and asked her to share it with the rest of the class.  The only downside was some groaning from students that the cake story made them hungry! 

  Ticket out the Door!
  Developing a Conceptual Understanding: Ticket out the Door!
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Infinity and Beyond!

Unit 3: Algebraic Structure
Lesson 9 of 11

Objective: SWBAT apply the appropriate formula to solve problems of finite and infinite geometric sums.

Big Idea: What's beyond infinity?! Explore infinite geometric sums to get a mathematical perspective of infinity.

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Math, algebraic expression, Algebra, Expressions (Algebra), algebraic methods, Algebra II, master teacher project, 11th Grade, Geometric Series
  55 minutes
infinity and beyond
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