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"How Divine Is My Proportion?"
Eighth graders explore the concept of the divine proportion/golden ratio. For this Fibonacci Sequence exploratory lesson, 8th graders measure the length and width of various objects to see which items have a divine proportion. Students...
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Ratio Relationships
Students solve for the different ratio and proportion of a problem. In this geometry lesson, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
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Leonardo of Pisa and the Golden Rectangle
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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The Renaissance Lesson Plans
The Renaissance, Michaelangelo, DaVinci and the Divine Proportion offer Many Exciting Teaching Opportunities
Teach Engineering
The Fibonacci Sequence and Robots
What better way to introduce the idea of a sequence than with robots! An educational lesson plan explains the classic Fibonacci sequence before pupils build and program a robot to move. Additionally, the lesson plan challenges...
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Golden Connections
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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Robot Ratios
Learners measure the activity and parts of a robot. In this algebra lesson, students explore ratio and proportion using their classroom. They apply properties of fractions as they cross multiply to solve problems.
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Scale factors: Ratios and Proportions
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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Architecture of the Ancient World
You can introduce your students to the amazing world of ancient architecture with these lesson plans.
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Exploring the Golden Rectangle
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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Proportionality: Modeling the Future
Students explore and examine how patterns, measurement, ratios and proportions are utilized in the research development and production of airplanes. They meet a pilot from the Federal Aviation Association who describes the growth of air...
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The Overlooked Regular Pentagon
Tenth graders discuss the history of geometry as it relates to pentagons. In this geometry instructional activity, 10th graders solve problems of a pentagon inscribed inside of a circle using ratio. They review other properties for...
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Recursion on a Calculator
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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Tricolore, the Flag of Italy
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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Amazing Fibonacci
Young scholars 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...
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Least Squares Fit Line
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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Are you in Golden Shape
Students solve and verify the solution for unknown measures. In this geometry instructional activity, students identify the properties of circles. They use the arc, angle and segment relationship to find the missing measures.
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Patterns Across Cultures: The Fibonacci Sequence in Visual Art
Students study the origin of the Fibonacci Sequence. In this investigative instructional activity students identify works of art where Golden Spiral or Ratio appear.
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Parabolas
Students find equations of parabolas in real world scenarios. In this finding equations of parabolas in real world scenarios lesson plan, students find the equations of parabolas of US landmarks. Students put a grid on...
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Least Squares Fit Line
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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Rhythm Lessons Show The Link Between Music And Math
Educators can use music lessons that show students how to learn about rhythm in a fun and exciting way.
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Simplifying Radicals
In this Algebra I/Algebra II activity, students simplify radicals and radical expressions involving multiplication and division. The one page activity contains a combination of nine multiple choice and free response...
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Modeling pentagrams using Geometers Sketchpad
Students using visual modeling software will construct two regular pentagrams which are mathematically similar. They also create a multi-page document and learn to create links between the pages and to a website on the History of...
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Solving Fractional Equations
In this algebra worksheet, 11th graders solve irrational functions by identifying the variables and make sure the equation is a true statement. They solve word problems also. There are 12 questions with an answer key.