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Lesson Plan
Curated OER

Fibonacci II

For Teachers 8th - 10th
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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Lesson Plan
Teach Engineering

The Fibonacci Sequence and Robots

For Students 6th - 8th Standards
What better way to introduce the idea of a sequence than with robots! An educational instructional activity explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the instructional activity...
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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

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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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
Willow Tree

Fibonacci and Other Sequences

For Students 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....
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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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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

Numbers in Nature

For Teachers 9th - 11th
Students identify numbers in nature. In this algebra instructional activity, 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

The Fibonacci Keyboard- Jazz and Math

For Teachers 11th - 12th
Students 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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Lesson Plan
Curated OER

Representing Patterns & Evaluating Expressions

For Teachers 9th - 11th
Write algebraic expressions, determine patterns, and evaluate expressions in a real-world context. Learners engage in a series of collaborative activities to identify, model, and give variables for real-world patterns. They write...
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Lesson Plan
Curated OER

Amazing Fibonacci

For Teachers 8th - 12th
Students integrate the patterns of Fibonacci into music. In 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...
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Lesson Plan
Curated OER

Fibonacci Sequences Icebreaker

For Teachers 8th - 12th
Students explore Fibonacci sequences. For this math lesson, students identify the relationship between two numbers. Students use Fibonacci sequences to create algebraic equations.
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Lesson Plan
Curated OER

Eye Spy a Pattern

For Teachers 5th
Fifth graders examine how to see patterns by showing how things work together. They identify, analyze and determine a rule for predicting and extending numberical patterns involving operations of whole numbers, decimals and fractions.
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Lesson Plan
Curated OER

Number Theory - Week 12

For Teachers 12th - Higher Ed
In this number theory worksheet, pupils 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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Lesson Plan
Curated OER

Golden Connections

For Teachers 9th - 12th
Students determine the ratio of pairs of consecutive terms in the Fibonacci Sequence. Using four different colors, they create a golden rectangle in either two or three dimensions. They use photographs to create two collages using...
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Lesson Plan
Curated OER

What's My Function?

For Teachers 5th
Fifth graders utilize input/output tables to help them solve algebraic equations. They incorporate patterns, number sequences and relations to represent and analyze mathematical problems and number relationships using algebraic symbols.
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Lesson Plan
Curated OER

Perplexing Patterns

For Teachers 7th
Seventh graders identify and find missing patterns. In this algebra instructional activity, 7th graders investigate numbers and sequences and complete the pattern. They make a chart and discuss similarities and differences.
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Lesson Plan
Curated OER

The Function Box

For Teachers 3rd - 12th
Students explore arithmetic and numerical patterns. After observing a teacher created function box, students describe a pattern and predict what will "come out" of the function box. They explore patterns such as geometric shapes,...