ALEX Classroom Resources

ALEX Classroom Resources  
   View Standards     Standard(s): [MA2019] FM-19 (9-12) 11 :
11. Find patterns in application problems involving series and sequences, and develop recursive and explicit formulas as models to understand and describe sequential change.

Examples: fractals, population growth
[MA2019] FM-19 (9-12) 12 :
12. Determine characteristics of sequences, including the Fibonacci Sequence, the triangular numbers, and pentagonal numbers.

Example: Write a sequence of the first 10 triangular numbers and hypothesize a formula to find the nth triangular number.
Subject: Mathematics (9 - 12)
Title: The Fibonacci Sequence
URL: https://streaming.discoveryeducation.com/teacherCenter/lessonPlans/pdfs/9-12_Math_FibonacciSequence.pdf
Description:

In this lesson, students will:


   View Standards     Standard(s): [MA2019] FM-19 (9-12) 11 :
11. Find patterns in application problems involving series and sequences, and develop recursive and explicit formulas as models to understand and describe sequential change.

Examples: fractals, population growth
[MA2019] FM-19 (9-12) 12 :
12. Determine characteristics of sequences, including the Fibonacci Sequence, the triangular numbers, and pentagonal numbers.

Example: Write a sequence of the first 10 triangular numbers and hypothesize a formula to find the nth triangular number.
Subject: Mathematics (9 - 12)
Title: Recursive Formulas: Fibonacci Sequence
URL: https://www.ck12.org/assessment/tools/geometry-tool/plix.html?eId=MAT.CAL.500.3&questionId=54c2c962da2cfe7bd16cc05a&artifactID=2126993&conceptCollectionHandle=analysis-::-recursive-formulas&collectionCreatorID=3&plix_redirect=1
Description:

This interactive activity will challenge students' knowledge of the Fibonacci Sequence using the following scenario:

Recursive formulas describe sequences of numbers governed by a common pattern. Here a recursive pattern can be seen in the increasing side length of each square.

    • Use the two red points on the large orange and green squares to continue the pattern. 
    • Try to determine the recursive pattern that governs the side length of the set of squares.
    • Note that this recursive pattern expands from the smallest value to the largest.

Note: You will need to create a free account to access this resource.


   View Standards     Standard(s): [MA2019] FM-19 (9-12) 11 :
11. Find patterns in application problems involving series and sequences, and develop recursive and explicit formulas as models to understand and describe sequential change.

Examples: fractals, population growth
[MA2019] FM-19 (9-12) 12 :
12. Determine characteristics of sequences, including the Fibonacci Sequence, the triangular numbers, and pentagonal numbers.

Example: Write a sequence of the first 10 triangular numbers and hypothesize a formula to find the nth triangular number.
Subject: Mathematics (9 - 12)
Title: 12.1 Describing the Pattern and Writing a Recursive Rule For a Sequence
URL: https://flexbooks.ck12.org/cbook/ck-12-precalculus-concepts-2.0/section/12.1/related/lesson/describing-the-pattern-and-writing-a-recursive-rule-for-a-sequence-alg-ii/#
Description:

This informational material will introduce the concept of recursive sequences and explain how to write recursive formulas. The Fibonacci Sequence is introduced. Practice questions with a PDF answer key are provided


ALEX Classroom Resources: 3

Go To Top of page