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Assessment
Bowland

Golden Rectangles

For Teachers 6th - 9th
Scholars must determine the maximum area for a rectangular plot of land enclosed with 100 meters of rope. As the work they discover patterns and numerical approaches to solve the problem.
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Lesson Plan
Curated OER

The Golden Rectangle

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

Golden Ratio

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

Exploring the Golden Rectangle

For Teachers 9th - 12th
Students will construct a golden section and a golden rectangle and study their characteristics and connections with the Fibonacci series. They import pictures from the internet and download them into the Sketchpad. Using their "golden"...
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Lesson Plan
Curated OER

As Good As Gold

For Teachers 5th - 10th
Students 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 students!
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Worksheet
Curated OER

Fibonacci and the Golden Number!

For Students 4th - 6th
In this math patterns worksheet, learners 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...
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Lesson Plan
Curated OER

Math and the Greek-Golden Proportions

For Teachers 4th
Fourth graders study math and the golden mean. In this math meets Greek history lesson, 4th graders study ratios and proportions in relation to the Greeks. The use of clay is incorporated ino this lesson. 
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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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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 instructional activity is cross-curricular and builds a sense of appreciation of design for students.
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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...
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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

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 Foundation of Math and Science

For Teachers 9th - 12th
Students uncover the mathematical proportions as well as the history of the Parthenon. In this math and science lesson, students use research to find the contributions of ancient Greeks made to our current society. They explore the...
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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 instructional activity, 8th graders measure the length and width of various objects to see which items have a divine...
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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.
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Lesson Plan
Curated OER

Recursion on a Calculator

For Teachers 10th - Higher Ed
In this math worksheet, students investigate repeated values on the calculator. They also read the explanation of the golden triangle and its proof.
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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.
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Lesson Plan
Curated OER

Are you in Golden Shape

For Teachers 7th - 10th
Students solve and verify the solution for unknown measures. In this geometry lesson plan, students identify the properties of circles. They use the arc, angle and segment relationship to find the missing measures.
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Worksheet
Curated OER

Matching Word Shapes: Basic 1

For Students 1st
In this word recognition worksheet, 1st graders match basic words from a word bank to their shapes. They place the words in, of, I, and, the, and was in the rectangles and boxes at the top of the page.
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Lesson Plan
Curated OER

Least Squares Fit Line

For Teachers 7th - 8th
Practice makes perfect! Learners estimate the least squares fit line for a set of data. They understand error involved in least squares fit lines, and solve application problems using least square fit lines.
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Lesson Plan
Curated OER

Least Squares Fit Line

For Teachers 8th - 12th
Students estimate the least squares fit line for a set of data. They understand error involved in least square fit lines. They solve application problems using least square fit lines.
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Lesson Plan
Curated OER

Scale factors: Ratios and Proportions

For Teachers 8th - 11th
Students create building and models using scale factors. In this geometry lesson, students apply the properties of ratio and proportion to solve problems. They identify the means and extremes property of cross multiplication.
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Worksheet
Curated OER

Tricolore, the Flag of Italy

For Students 6th - 8th
In this reading comprehension learning exercise, students read a passage describing the history of Italy's flag. Then they respond to six multiple choice questions based on the description they read. Students discover who chose the...

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