Lesson Plan
Curated OER

#### The Golden Students

For Teachers 6th - 12th
Scholars view the video, "Donald Duck in Mathmagic Land," and discuss examples in nature which have proportions of the golden ratio. They measure and record different body lengths from a worksheet and convert the ratios to equivalent...
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

#### Golden Ratio

For Teachers 10th
Tenth graders investigate the Golden Ratio.  In this geometry lesson, 10th graders explore the Fibonacci sequence in the context of The Fibonacci Rabbit problem.  Students examine how the ratio of two consecutive Fibonacci number create...
Lesson Plan
Curated OER

#### The Golden Ratio

For Teachers 7th
Seventh graders investigate a ratio found in nature and in numerous pieces of artwork throughout history. The lesson is cross-curricular and builds a sense of appreciation of design for students.
Lesson Plan
Curated OER

#### Using Ratios

For Teachers 8th - 10th
Learners study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of primary...
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.
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...
Lesson Plan
Texas Instruments

#### Golden Ratio Lab

For Teachers 9th - 12th Standards
Learners investigate the Golden Ratio in this algebra I or geometry lesson. They explore the Golden Ratio as the conduct an experiment in which they collect various measurement from their team members and find the regression equations...
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...
Unit Plan

#### Fibonacci is All Around

For Teachers 9th - 12th Standards
One ratio to rule them all. Young mathematicians investigate the Fibonacci sequence and the Golden Ratio. To begin the first lesson, they use a spreadsheet to see how the Fibonacci sequence gives the Golden Ratio. The second lesson...
Lesson Plan
Curated OER

#### The Golden Ratio

For Teachers 9th - 11th
Students solve problems using ratios and proportions. For this algebra lesson, students verify proportions, solve for the unknown and use real life scenario to model proportion.
Lesson Plan
Dick Blick Art Materials

For Students K - 12th
The Golden Ratio. The Divine Proportion. Yup. It's math and art blended into one colorful activity. Young artists combine colored tissue paper circles and parts of circles to create geometric patterns. As a bonus, kids get to figure out...
Lesson Plan
Curated OER

#### The Golden Rectangle

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

#### As Good As Gold

For Teachers 5th - 10th
Young scholars 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...
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.
Lesson Plan
Curated OER

#### Are You a Golden Ratio?

For Teachers 6th - 8th
Students explore the concept of the golden ratio in nature and architectural design. They discuss examples such as petals on a sunflower and the Parthenon. In small groups they take turns measuring their body parts to find a golden ratio.
PPT
Curated OER

#### Alice in Fractalland

For Teachers 4th - 8th Standards
Take your class on a field trip to Fractalland where they'll learn all about number and shape patterns. Based on Disney's movie Alice in Wonderland, this resource takes young mathematicians on an adventure as they explore patterns in...
Worksheet
Curated OER

#### Ratio and Proportion Problems

For Students 1st - 2nd
What is ratio? What is proportion? Two examples are shown before your pupils are given seven problems using either ratio or proportion. Consider having your learners illustrate a selection of the problems provided.
PPT
Curated OER

#### Calculator Tricks: The Golden Prediction

For Teachers 6th
Excite the class with a mathematical trick, a calculator, and a good number sense. They use the directions provided on each slide to make a list of numbers, use their calculator to divide, and find the golden mean. A little history on...
Worksheet
Curated OER

#### Hidden Ratios

For Students 10th - 12th
In this ratios worksheet, students measure and record specified distances on a drawing of a head and shoulders. Students record information onto their graphing calculators and look for patterns in their information. They find the mean of...
Lesson Plan
Curated OER

#### Golden Ratio of the Human Body

For Teachers 9th - 12th
Young scholars calculate the ratio of the height of the body to the height of the navel. They discover that the ratios are all approximately equal.
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

#### Fibonacci and the Golden Number!

For Students 4th - 6th
In this math patterns worksheet, 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

#### What Number Differs from its Reciprocal by 1?

For Students 10th - Higher Ed
In this reciprocal learning exercise, students identify the number that differs from its reciprocal by 1.  The significance of this number is that it is the golden ratio.  The solution to the problem is provided.