Reflection: Rigor The Fractal Tree - Section 2: Explore

 

One aspect of this lesson that really struck me is the variety of responses that I get from students. Not only were some students using sigma notation while others were writing explicit formulas, but there were also three or four different explicit formulas that were present in each class. This lesson served as a great review of algebraic exponent rules as we decided if each form was truly equivalent to another.

While there is no best form, one did make more sense when we wrote the explicit formula for a geometric sequence in a later lesson. We focused on the form where the first term and the common ratio were present in the formula. It made the most sense and was something that could be generalized for any geometric sequence.

  Variations
  Rigor: Variations
Loading resource...
 

The Fractal Tree

Unit 9: Sequences and Series
Lesson 2 of 18

Objective: SWBAT describe sequences recursively and explicitly.

Big Idea: The Fractal Tree provides a challenging investigation of sequences.

  Print Lesson
6 teachers like this lesson
Subject(s):
Math, Precalculus and Calculus, Geometry, Algebra 2, geometric sequence, partial sum, Sequences and Series, fractals, recursive formulas
  48 minutes
untitled
 
1
2
3
Similar Lessons
 
What Makes Something a Pattern?
Algebra I » Introduction to Algebra: Focus on Problem Solving
Big Idea: Can you figure out the pattern? If you can, what can you do with it? Students learn how to write rules for patterns and explore how these rules can help us predict future events.
  Favorites(4)
  Resources(18)
Boston, MA
Environment: Urban
Amanda Hathaway
 
Patterns Quiz and Project Work Time
Algebra I » Number Tricks, Patterns, and Abstractions
Big Idea: A quiz should function as a learning opportunity at least as much as an assessment. The quiz policies in this class are structured accordingly.
  Favorites(0)
  Resources(7)
Worcester, MA
Environment: Urban
James Dunseith
 
Introduction to Sequences
Algebra II » Sequences and Series
Big Idea: Are sequences just patterns? No, there is so much more!
  Favorites(6)
  Resources(15)
Huntington, IN
Environment: Suburban
Jarod Hammel
 
Something went wrong. See details for more info
Nothing to upload
details
close