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.
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Fibonacci numbers are not only found in the classroom but also in nature. Explore the concept of Fibonacci numbers through a series of lessons designed to gain insight into the mathematical reasoning behind the number pattern, and spark...
Upper graders explore the Fibonacci sequence. They examine the characteristics of the Fibonacci sequence, list the properties of the sequence and determine how it connects to Pythagorean Triples. Related thinking questions are included.
In this learning about Fibonacci worksheet, students read about Leonardo Fibonacci and his contribution to mathematics, then study the pattern of Fibonacci numbers, in math and in nature.
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...
What better way to introduce the idea of a sequence than with robots! An educational lesson explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the lesson challenges individuals to...
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....
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...
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...
For this patterns worksheet, 11th graders identify and solve 3 different problems that include completing Fibonacci number patterns. First, they continue the pattern shown at the top to find more Fibonacci numbers. Then, students...
Students investigate a numerical pattern and look for evidence of mathematical patterns in nature. They solve puzzles and work with a partner to predict sequential numbers in a series.
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...
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...
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).
Learners calculate the Fibonacci sequence of numbers. Through the use of Fibonacci numbers in flowers, leaves, fruits, vegetables, pine cones, and other forms of nature; students explore how Fibonacci numbers occur in nature. Then they...
Students investigate the mathematical patterns of the Fibonacci Sequence. They determine how math is connected to music, specifically looking at music the uses the pattern sequence found in the Fibonacci Sequence.
Fifth graders have the opportunity to gather information themselves on Fibonacci and on the occurrence of Fibonacci numbers in nature. They divide up into groups of 2 to 4 to research.
Students integrate the patterns of Fibonacci into music. For this geometry lesson, students apply the concepts of recursion, pattern and Phi or Golden Ratio to composing and playing music on various instruments. They lesson is co-taught...
In this math patterns worksheet, students review the beginning numbers in Fibonacci's numbers, find the pattern, follow directions and problem solve to find the Golden Number and complete a chart, measure lengths of body parts and find...
In this Fibonacci instructional activity, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page instructional activity contains five multi-step...
In this algebra activity, students solve a puzzle starting with two single digit numbers and eventually conclude that the answer can be used with Fibonacci's pattern. There are 11 steps to the puzzle with a provided answer.
In this limit worksheet, students give examples of described sequences and find the limits. They compute numbers in the Fibonacci sequence. This one-page worksheet contains six multi-step problems.
Pupils demonstrate an understanding of the relationships of the Fibonacci Sequence. They apply the Fibonacci Sequence and find its relationship to a piano keyboard. They explore various relationships between music and the Fibonacci...
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