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Worksheet
Curated OER

Extending Online Number Sequences

For Students 5th - 6th
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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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

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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Worksheet
Curated OER

Fibonacci Trick

For Students 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.
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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 lesson, students solve Fibonacci sequence problems. Students explore the mathematical patterns of objects in nature.
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Worksheet
Curated OER

Six Number Pattern and Sequence Activities

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

Math Club Warm Up #10b

For Students 5th
In this math club warm up #10b learning exercise, 5th graders compute the answers for 3 problems involving multiplication and the Fibonacci numbers,  without using a calculator;  there are 4 sheets on a page.
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Lesson Plan
Curated OER

Math in Nature

For Teachers 7th - 12th
Students explore math in nature. In this instructional activity on the Fibonacci sequence, students use natural objects and Fibonacci numbers to discover mathematical patterns.
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Worksheet
Curated OER

Turk-o-nacci Sequence

For Students 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.
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Lesson Plan
Curated OER

The Golden Rectangle

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

Discovering Math: Rational Number Concepts

For Teachers 10th - 12th
Students explore the concept of Egyptian contributions in mathematics. In this Egyptian contribution lesson, students research Egyptian hieroglyphics and pyramids. Students write numerals in hieroglyphics. Students use Egyptian methods...
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Lesson Plan
Curated OER

"How Divine Is My Proportion?"

For Teachers 8th
Eighth graders explore the concept of the divine proportion/golden ratio. In this Fibonacci Sequence exploratory lesson, 8th graders measure the length and width of various objects to see which items have a divine proportion. Students...
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Worksheet
Curated OER

Worksheet 1: Fibonacci Numbers

For Students Higher Ed
In this Fibonacci activity, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page activity contains five multi-step problems that involve proofs.
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Lesson Plan
Curated OER

Sequences, Counting and Probability - Week 4

For Teachers 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...
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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

Fibonacci Numbers

For Teachers 5th - 8th
Students 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...
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Lesson Plan
Curated OER

Fibonacci I

For Teachers 5th
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.
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Lesson Plan
Curated OER

Math and Music: Fibonacci Sequence

For Teachers 5th - 8th
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.
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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

Easy Worksheet: Special Numbers

For Students 9th - 12th
In this special numbers worksheet, students solve 4 short answer problems. Students find various terms in the Fibonacci sequence, triangular number sequence, and the natural numbers in Pascal's Triangle.
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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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Activity
University of Ottawa (Canada)

University of Ottawa: Linear Algebra Close to Earth

For Students 9th - 10th
The author of this site endeavours to explain how linear algebra has many applications in a wide range of disciplines, to help students see its uses in the real world.
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Interactive
Other

Mathematics: Fibonacci Numbers and the Golden Section

For Students 9th - 10th
This resource contains everything you ever needed to know about Fibonacci numbers. You'll find mathematical and historical facts, examples, problems, interactive demonstrations, and more.
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Handout
Other

University of Surrey: Who Was Fibonacci?

For Students 9th - 10th
A biography of Fibonacci that discusses his life and his various mathematical contributions. Also has pictures of the Fibonacci memorial in Pisa.