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....
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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).
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Fibonacci Number Patterns
In 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...
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Learning about Fibonacci
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.
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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...
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Sequences, Counting and Probability - Week 4
In this sequence worksheet, young scholars complete problems involving geometric sequences. They identify the nth term in a sequence. Students explore various positions in the Fibonacci sequence. This two-page worksheet contains eight...
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Turk-o-nacci Sequence
For this sequence worksheet, students use the Fibonacci sequence to determine the number of turkeys in a flock. This one-page worksheet contains 1 multi-step problem. The answer is provided at the bottom of the page.
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Fibonacci Trick
In this algebra instructional 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.
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Six Number Pattern and Sequence Activities
In this numbers and sequences worksheet, students solve problems presented in six different activities. Extension problems are also provided.
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Patterns and Sequence
In this patterns and sequence worksheet, students complete the patterns and sequence of numbers including fractions, exponents, and more. Students complete 12 problems.
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Worksheet - Limits
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.
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Number Patterns and Sequences
In this number patterns and sequences worksheets, students complete activities for number patterns and sequences including Fibonacci's Sequence, lines, regular polygons, and towers. Students complete 15 problems.
Teach Engineering
Discovering Phi: The Golden Ratio
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios found...
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Patterns in Nature
In this patterns in nature learning exercise, students read about the Fibonacci Spiral, then follow the directions to plot one on the graph paper and draw the spiral, with links to more information.
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Spiral Patterns in Art
In this art worksheet, students view a picture of Alexander Calder's sculpture "Black, White, and Ten Red." They analyze the sculpture by first finding the "rule" in the Fibonacci sequence. Students read a paragraph about where the...
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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...
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Number Theory - Week 12
In this number theory worksheet, students study integers and their properties. They explore the Fibonacci Sequence and approximate irrational numbers. This two-page worksheet contains eight problems.
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Writing a Word Fib Poem
Students write a word fib poem using different word starters and different number of syllabled lines. Students write 6 lines in the poem.
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Searching for Patterns
In these patterns worksheets, students complete 4 pages of activities for patterns. Students improve their visual interpretation skills with the activities.