Fibonacci, was an Italian mathematician, considered by some "the most talented western mathematician of the Middle Ages. Fibonacci numbers are the numbers in the following integer sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 ,55, 89, 144...They also appear in biological settings, such as branching in trees, arrangement of leaves on a stem, the fruit spouts of a pineapple,the flowering of artichoke, an uncurling fern and the arrangement of a pine cone..
Colleen Werner's lesson "Introduction to Sequences" Objective: SWBAT differentiate among arithmetic, geometric and other types of sequences and understand that sequences and series can be used to model real world phenomena. Big Idea: Detecting patterns in numbers helps students see the mathematical relationships that underlie real world phenomena. In this colorful lesson, students look at patterns of numbers and uncover the rule used to generate them.
Do your students focus on number pattern (sequences) instead of variable relationship (function)? Mine too! Let's use their tendencies to our advantage when teaching arithmetic and geometric sequences as function models in Algebra 1 or Algebra 2. This bundle includes investigations and cooperative learning activities to connect sequences and functions while prompting students to write explicit and recursive formulas to model situations.