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 instructional activity students identify works of art where Golden Spiral or Ratio appear. 
Lesson Plan
Curated OER

Finding Fibonacci

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

Patterns and Algebra - Modeling

For Students 7th - 9th Standards
Seventh grade math is so much fun! They solve 10 different problems that include using patterns to complete a table, describe the pattern, and identify the specific term in the pattern for each. Then they give a description of the...
Worksheet
Curated OER

Fibonacci and the Golden Number!

For Students 4th - 6th
In this math patterns activity, students review the beginning numbers in Fibonacci's numbers, find the pattern, follow directions and problem solve to find the Golden Number and complete a chart, measure lengths of body parts and find...
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...
Lesson Plan
Curated OER

Math in Nature

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

Searching for Pattern 13.1-13.4

For Students 6th
In this recognizing patterns worksheet, 6th graders identify patterns of shapes and numbers and determine the pattern shape or number in question by skipping patterns (i.e.: the tenth, the forty-eighth, the ninety ninth) and by using...
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.
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...
Lesson Plan
Curated OER

Leonardo of Pisa and the Golden Rectangle

For Teachers 10th - 11th
Students investigate geometry and algebra and the history behind these two interesting subjects. In this algebra lesson, students analyze the Fibonacci Sequence and relate it to solving exponential equations. There are alot of links and...
Worksheet
Curated OER

Easy Worksheet: Special Numbers

For Students 9th - 12th
In this special numbers worksheet, high schoolers solve 4 short answer problems. Students find various terms in the Fibonacci sequence, triangular number sequence, and the natural numbers in Pascal's Triangle.
Worksheet
Curated OER

Difference of Equations

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

Sequences in Geogebra

For Teachers Higher Ed
Students follow detailed directions to use the GeoGebra program. In this mathematics lesson plan, students find the nth term of a sequence, and use line art to approximate a Bezier's curve. Students locate points and segments on a...
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.
Lesson Plan
Curated OER

Applied Science - Science and Math Pre Lab

For Teachers 4th - 8th
Young scholars find Fibonacci sequences. In this applied Science lesson, students solve Fibonacci sequence problems. Young scholars explore the mathematical patterns of objects in nature.
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...
Worksheet
Curated OER

Extending Online Number Sequences

For Students 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
K20 LEARN

Are We Golden?

For Teachers 6th - 7th Standards
Lead your class on a search for precious bones. Using a presentation, the class investigates the golden ratio in art and nature. Groups of pupils measure specific bones and find the average ratio for the class. To further cement the...
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.
Worksheet
Curated OER

Math Club Warm Up #10b

For Students 5th
In this math club warm up #10b worksheet, 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.
PPT
Curated OER

Early Greek Science and Philosophy

For Teachers 10th - 12th
There are fundamental principles that nearly everybody knows about. Define the principles of Golden Mean, Fibonacci Numbers, creativity, and matter in terms of their Greek origins. Presented here are brief histories, philosophies, and...
Lesson Plan
Curated OER

Fibonacci Patterns

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

The Golden Rectangle

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