Curated OER
Fibonacci II
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
Willow Tree
Fibonacci and Other Sequences
Fibonacci is an interesting sequence that forms some unique patterns. Learners explore sequences that do not have the typical arithmetic and geometric patterns. They identify the pattern and find the next consecutive terms....
Curated OER
Number Sequences
Number sequences make for great challenges that stimulate pattern recognition, algebraic reasoning, and number sense. This slide-show includes eleven number sequences for learners to work through, an explanation of what number sequences...
Curated OER
Sequences
In these math worksheets, students will complete 3 pages of sequencing work. The first page is Simple Sequences (17 problems). The second page is Harder Sequences (18 problems). The third page is Fibonacci Sequence work (9 problems).
Teach Engineering
The Fibonacci Sequence and Robots
What better way to introduce the idea of a sequence than with robots! An educational lesson plan explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the lesson plan challenges...
CK-12 Foundation
Recursive Formulas: Fibonacci Sequence
Explore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...
Radford University
Fibonacci is All Around
One ratio to rule them all. Young mathematicians investigate the Fibonacci sequence and the Golden Ratio. To begin the first lesson, they use a spreadsheet to see how the Fibonacci sequence gives the Golden Ratio. The second lesson...
Curated OER
Alice in Fractalland
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
Curated OER
Sequences in Geogebra
Students follow detailed directions to use the GeoGebra program. In this mathematics lesson, students find the nth term of a sequence, and use line art to approximate a Bezier's curve. Students locate points and segments on a circle. The...
Curated OER
Extending Online Number Sequences
In this online number sequences worksheet, students work out the answers to eight comprehensive exercises with thirty-eight calculations involving a variety of sequences. Students answers are automatically graded online as they go and...
Curated OER
Calculator Tricks: The Golden Prediction
Excite the class with a mathematical trick, a calculator, and a good number sense. They use the directions provided on each slide to make a list of numbers, use their calculator to divide, and find the golden mean. A little history on...
Curated OER
The Fibonacci Sequence Through Art Lessons
It is easy to combine math and arts lessons to create motivating and interesting activities.
Curated OER
There's Gold in Them Thar Ratios
Students draw a model of the bunny problem which generates the Fibonacci Sequence, spirals generated from golden rectangles and golden triangles; identify the golden ratio in the human body, and find the Fibonacci numbers in nature.
Curated OER
I Am Golden
Students become familiar with patterns, the Fibonacci Sequence, and the Golden Ratio. They see how many places these occur. They have practical applications for using the calculator and making charts to extend patterns.
Curated OER
As Good As Gold
Students find examples of the Golden Ratio on the human body through measurement. Additionally, students learn about the use of the Golden Ratio and the Golden Rectangle in art and architecture. A very interesting lesson for the students!
Curated OER
Difference of Equations
In this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution...
Curated OER
Numbers in Nature
Students identify numbers in nature. In this algebra instructional activity, students solve problems using Fibonacci sequence as it is expressed in nature. They research the Fibonacci's pattern as it relates to numbers.
Curated OER
Using Ratios
Students study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of primary...
Curated OER
Design, Grow, and Ponder in a Garden
A garden can inspire students to make mathematical connections.
Curated OER
Proportionality: Modeling the Future
Students explore and examine how patterns, measurement, ratios and proportions are utilized in the research development and production of airplanes. They meet a pilot from the Federal Aviation Association who describes the growth of air...
Other
University of Surrey: Hard Fibonacci Puzzles
A list of difficult puzzles that deal with Fibonacci sequences and numbers. Especially interesting for students who enjoy puzzles and sequences.
Other
University of Surrey: Mathematics of Fibonacci Numbers
The mathematics behind Fibonacci numbers and the mathematics that comes as a result of them as well. Provides a lot of activities you can try using the Fibonacci sequence.
Other
University of Surrey: The Nth Fibonacci Number
Discusses the functions that will give the nth Fibonacci number in terms of n. The resource also provides advanced applications of the Fibonacci sequence.
Other
University of Surrey: Who Was Fibonacci?
A biography of Fibonacci that discusses his life and his various mathematical contributions. Also has pictures of the Fibonacci memorial in Pisa.
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