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Worksheet
Curated OER

Patterns and Sequence

For Students 7th - 10th
For 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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Lesson Plan
Curated OER

Worksheet - Limits

For Teachers Higher Ed
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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Lesson Plan
Curated OER

Where Math Meets Poetry

For Teachers 6th - 12th
Students identify Fibonacci's sequence of numbers and use the pattern to write poetry with one syllable words. In this math and writing lesson, students identify Fibonacci's sequence of numbers and learn about this early mathematician....
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Lesson Plan
Curated OER

Finding Fibonacci

For Teachers 5th - 10th
Students study and apply the Fibonacci numbers and how they occur in nature. Students solve problems using the Fibonacci numbers.
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Worksheet
Curated OER

Number Patterns and Sequences

For Students 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.
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Lesson Plan
Curated OER

Applied Science - Science and Math Pre Lab

For Teachers 4th - 8th
Students find Fibonacci sequences. In this applied Science instructional activity, students solve Fibonacci sequence problems. Students explore the mathematical patterns of objects in nature.
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Lesson Plan
Curated OER

Fibonacci Patterns

For Teachers 9th - 10th
Students solve problems using the Fibonacci Patterns. In this geometry activity, students trackthe growing rate of a rabbit population. They collect the data and graph their results. They make predictions based on their results.
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Lesson Plan
Teach Engineering

Discovering Phi: The Golden Ratio

For Teachers 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 found...
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Lesson Planet Article
Curated OER

The Fibonacci Sequence Through Art Lessons

For Teachers 3rd - 5th
It is easy to combine math and arts lessons to create motivating and interesting activities.
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Lesson Plan
Curated OER

Guess That Sequence!

For Teachers Pre-K - 1st
Pupils analyze number sense by participating in a pattern identification activity. In this number sequence lesson, students examine several groups of numbers and identify the sequence in the group before adding on to it. Pupils check...
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Lesson Plan
Curated OER

There's Gold in Them Thar Ratios

For Teachers 7th - 10th
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.
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Lesson Plan
Curated OER

I Am Golden

For Teachers 6th - 8th
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.
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Lesson Plan
Curated OER

Secret Sequences

For Teachers 3rd - 5th
Students are exposed to different types of sequences. in this sequencing lesson, students learn about simple sequences, multiplication sequences, declining sequences, the Fibonacci sequence and other sequences.
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Lesson Plan
Curated OER

Class of Gold

For Teachers 6th - 9th
How can you see a number in nature? Here, learners discover both Fibonacci numbers and the golden ratio by exploring a number of different resources.  Note: Some of the resources are older and may be missing some of the links, but the...
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Worksheet
Curated OER

Patterns in Nature

For Students 5th - 6th
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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Worksheet
Curated OER

Spiral Patterns in Art

For Students 6th - 7th
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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Lesson Plan
Curated OER

How Does Your Population Grown?

For Teachers 8th - 11th
Do you know how the population has grown of your community? Can you predict the population over the next half century? Can we find an algebraic model that matches our data? These along with many more questions can be researched by...
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Lesson Plan
Curated OER

Patterns Across Cultures: The Fibonacci Sequence in Visual Art

For Teachers 7th - 12th
Students study the origin of the Fibonacci Sequence.  In this investigative lesson students identify works of art where Golden Spiral or Ratio appear. 
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Lesson Plan
Curated OER

Patterns and Sequences

For Teachers 9th
Ninth graders examine sequential number patterns and the Fibonacci sequence. Given number patterns, they determine the next number in a sequence. Students develop their own number patterns and exchange them with another to be solved.
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Lesson Plan
Curated OER

As Good As Gold

For Teachers 5th - 10th
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!
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Worksheet
Curated OER

Difference of Equations

For Students 11th - 12th
In this difference of equations worksheet, 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 of solution...
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Lesson Plan
Curated OER

The Golden Rectangle

For Teachers 6th - 8th
Students explore the concept of the golden ratio. For this golden ratio lesson, students measure objects to determine if their measurements fit the golden ratio. Students calculate the average measurements of the class.
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Lesson Plan
Curated OER

Numbers in Nature

For Teachers 9th - 11th
Students identify numbers in nature. In this algebra lesson, students solve problems using Fibonacci sequence as it is expressed in nature. They research the Fibonacci's pattern as it relates to numbers.
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Lesson Plan
Curated OER

Chessboard Series

For Teachers 9th - 12th
Students work together on a word problem. They write a written report of the answer. They participate in a chessgame in which the answers are used.

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