Reflection: Rigor Comparing Sequences by Form and by Pattern of Change - Section 4: Exit Ticket and Homework

When reflecting on the exit ticket for this lesson, I couldn't help but think about how the exit ticket balanced rigor with accessibility. Almost all students were able to respond to the prompt, and all of the responses told me something different about how the students understood and interpreted the material.

For example, in Student Sample 1 Creating the Fibonacci Sequence and Student Sample 2 Creating the Fibonacci Sequence the students did a nice job describing the pattern of numbers through language, and will benefit from additional support to create equations from sequences.

Student Sample 3 Creating the Fibonacci SequenceStudent Sample 4 Creating the Fibonacci Sequence, and Student Sample 5 Creating the Fibonacci Sequence are all from my Honors section and are good examples of students being able to interpret and create functions from sequences. There are always areas for improvement, and collectively, these samples suggest to me that I need to continue emphasizing to students the importance of using details to not only show, but also explain their thinking.

Rigor: The Fibonacci Sequence as a Complex and Rigorous Task

Comparing Sequences by Form and by Pattern of Change

Unit 1: Thinking Like a Mathematician: Modeling with Functions
Lesson 6 of 10

Big Idea: Students explore the Fibonacci sequence and other sequences to further their understanding of functions!

Print Lesson
5 teachers like this lesson
Standards:
Subject(s):
Math, Algebra, modeling, function notation, khan academy, kuta software, Geometric Sequences, Fibonacci sequence, arithmetic sequences, recursive formulas
90 minutes

Jason Colombino

Similar Lessons

Comparing Growth Models, Day 1
Algebra II » Exponents & Logarithms
Big Idea: What makes exponential growth "exponential"? A comparison with linear growth makes the answer clear.
Favorites(2)
Resources(20)
Fort Collins, CO
Environment: Suburban

The Skyscraper Problem
12th Grade Math » Sequences and Series
Big Idea: Students investigate the cost to wash the windows of a skyscraper.
Favorites(9)
Resources(14)
Troy, MI
Environment: Suburban

Geometric and Arithmetic Sequences
Algebra I » Numeracy
Big Idea: Students will model arithmetic and geometric sequences by identify a common difference or ratio.
Favorites(3)
Resources(22)
Washington, DC
Environment: Urban