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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...
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Activity
Wake Forest University

Authentic Activities for Connecting Mathematics to the Real World

For Students 6th - 12th Standards
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...
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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...
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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...
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Lesson Plan
Curated OER

Using Ratios

For Teachers 8th - 10th
Students 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...
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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.
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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...
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Lesson Plan
Texas Instruments

Golden Ratio Lab

For Teachers 9th - 12th Standards
Learners investigate the Golden Ratio in this algebra I or geometry instructional activity. They explore the Golden Ratio as the conduct an experiment in which they collect various measurement from their team members and find the...
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Activity
Wolfram Research

Wolfram Math World: Golden Ratio

For Students 9th - 10th
Math World explains the Golden Ratio, gives the formula for finding the irrational number, and expresses this value as an infinite series. Also defines and represents the Ratio geometrically, its relationship to the Fibonacci numbers,...
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Activity
TeachEngineering

Teach Engineering: The Fibonacci Sequence & Robots

For Teachers 6th - 8th
Using the LEGO NXT robotics kit, students construct and program robots to illustrate and explore the Fibonacci sequence. Within teams, students are assigned roles: group leader, chassis builder, arm builder, chief programmer, and...
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Activity
TeachEngineering

Teach Engineering: Discovering Phi: The Golden Ratio

For Teachers 6th - 8th
Students discover the mathematical constant phi, the golden ratio, through hands-on activities. They measure dimensions of "natural objects"--a star, a nautilus shell and human hand bones--and calculate ratios of the measured values,...
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Activity
Wolfram Research

Wolfram Math World: Golden Rectangle

For Students 9th - 10th
This site contains the definition for the term "Golden Rectangle," complete with detailed pictures, charts, and explanations.
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Activity
Texas Instruments

Texas Instruments: Numb3 Rs: It All Started With a Pair of Rabbits

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to the set of Fibonacci numbers and shows how this set is present in many aspects of nature. Through the lesson, students explore the first 13 elements in the...
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Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Golden Ratio, Fibonacci Sequence Faq

For Students 9th - 10th
This site contains questions and answers regarding the Golden Ration and how the Fibonacci numbers relate to the ratio of lengths of golden rectangles. Related links are available at the end of the site.
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Lesson Plan
Discovery Education

Discovery Education: Numbers in Nature

For Teachers 9th - 10th
This Fibonacci sequence lesson plan is aimed at grades 9-12, but would be appropriate for some junior high classes. It includes historical background and examples of Fibonacci numbers in nature, as well as suggested readings and ties to...