Lesson Plan
Willow Tree

Fibonacci and Other Sequences

8th - 11th Standards
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....
Worksheet
Curated OER

Sequences

5th - 6th
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).
Worksheet
Curated OER

Fibonacci Number Patterns

11th
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...
Worksheet
Curated OER

Learning about Fibonacci

5th - 7th
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.
Worksheet
Curated OER

Extending Online Number Sequences

5th - 6th
In this online number sequences activity, 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...
Lesson Plan
Curated OER

Sequences, Counting and Probability - Week 4

11th - Higher Ed
In this sequence worksheet, students 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...
Worksheet
Curated OER

Turk-o-nacci Sequence

8th - 10th
In 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.
Worksheet
Curated OER

Fibonacci Trick

9th - Higher Ed
In this algebra worksheet, 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.
Worksheet
Curated OER

Six Number Pattern and Sequence Activities

11th - Higher Ed
In this numbers and sequences worksheet, students solve problems presented in six different activities.  Extension problems are also provided.
Worksheet
Curated OER

Patterns and Sequence

7th - 10th
For this patterns and sequence worksheet, learners complete the patterns and sequence of numbers including fractions, exponents, and more. Students complete 12 problems.
Lesson Plan
Curated OER

Worksheet - Limits

Higher Ed
In this limit worksheet, pupils 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.
Worksheet
Curated OER

Number Patterns and Sequences

5th - 6th
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.
Lesson Plan
Teach Engineering

Discovering Phi: The Golden Ratio

6th - 8th Standards
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...
Worksheet
Curated OER

Patterns in Nature

5th - 6th
In this patterns in nature worksheet, 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.
Worksheet
Curated OER

Spiral Patterns in Art

6th - 7th
For this art worksheet, learners 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...
Worksheet
Curated OER

Difference of Equations

11th - 12th
In this difference of equations instructional activity, learners 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...
Lesson Plan
Curated OER

Number Theory - Week 12

12th - Higher Ed
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.
Worksheet
Curated OER

Writing a Word Fib Poem

3rd - 8th
Learners write a word fib poem using different word starters and different number of syllabled lines. Students write 6 lines in the poem.
Worksheet
Curated OER

Searching for Patterns

5th - 6th
In these patterns worksheets, students complete 4 pages of activities for patterns. Students improve their visual interpretation skills with the activities.

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