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World Mysteries

Pascal’s Triangle and Sierpinski Triangle

For Teachers 6th - 11th Standards
Your learners will enjoy this one-page, color-coded poster containing Pascal's triangle and its connection to Sierpinski's triangle. By coloring odd numbers orange and even numbers green on Pascal's triangle a pattern evolves,...
Lesson Plan
Curated OER

Big Fleas Have Little Fleas

For Teachers 6th - 8th
A benthic habitat hosts a vast collection of organisms and its structure influences the biodiversity. Middle-school marine biology explorers will discuss how corals impact structure, and therefore diversity, on the ocean floor. They draw...
Activity
National Council of Teachers of Mathematics

Math Challenge #23: Fractals

For Students 6th - 8th
Young scholars explore the concepts of Sierpinski's triangle, ratios, and concentrations. In this exploratory lesson, students are given three problems to solve. Young scholars learn about Sierpinski's triangle, how to calculate mpg for...
Lesson Plan
Curated OER

The Sierpinski Triangle

For Teachers 9th - 10th
Students investigate the Sierpinski triangle. In this geometry lesson, students define fractal curves and its relationship to triangles. They identify repeating sequences and relate it to fractals.
Lesson Plan
Curated OER

Using Cabri Geometry to Create Fractals

For Teachers 9th - 12th Standards
Learners construct the Sierpinski Triangle using Cabri Jr. They use a step-by-step guide to construct the Sierpinski Triangle on their graphing calculator and then discuss the formula for constructing a nth stage Sierpinski Triangle.
Lesson Plan
Curated OER

Investigating the Sierpinski Triangle

For Teachers 9th - 11th
Students solve and analyze the sierpinski's triangle. In this geometry lesson plan, students identify properties and theorem of triangles. They solve problems involving angles and sides of triangles.
Lesson Plan
Curated OER

Fractals Teachers' Notes

For Teachers 5th - 8th
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
Lesson Plan
Curated OER

Fractals and the Chaos Game

For Teachers 9th - 12th
Students explore the concept of fractals. In this fractals activity, students play the "Chaos Game" via an applet. Students place dots on the screen to recognize that they have created Sierpinski's Triangle.
Lesson Plan
Curated OER

Pyramid in The Desert

For Teachers 9th - 11th
Learners investigate the Sierpinski triangle and calculate the ratio and area of the triangle. In this fractals lesson, students calculate parts of a Sierpincki triangle. They use Google Earth to help them construct the different parts...
Lesson Plan
Curated OER

Introduction to Fractals: Geometric Fractals

For Teachers 6th - 8th
Learners study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Learners complete worksheets based on Geometric Fractals.
Lesson Plan
Curated OER

Fractals

For Teachers 10th - Higher Ed
Young scholars explore the concept of fractals. In this fractal lesson plan, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Young scholars develop these concepts through exploration and...
Lesson Plan
Curated OER

Introduction to Fractals: Geometric Fractals

For Teachers 9th - 12th
Students explore the concept of fractals. In this fractals activity, students discuss Sierpinski's Triangle using an applet. Students discuss the patterns involved with fractals. Students discuss the area of Sierpinski's triangle as the...
Lesson Plan
Curated OER

The Chaos Game

For Teachers 6th - 12th
Students measure and predict the behavior of a fractal.  In this investigative lesson students divide into groups, and participate in an activity that includes drawing triangles and coloring vertices. 
Lesson Plan
Curated OER

Colorful Triangles

For Teachers 7th - 9th
Students make colorful triangles known as Sierpinski's Carpet, using colored pencils and paper.
Worksheet
Curated OER

Patterns

For Students Higher Ed
In this college level algebra activity, students examine patterns, formulas that describe the pattern and determine the sum of an infinite pattern.  The one page activity contains five questions.  Answers are provided. 
Lesson Plan
Curated OER

Geometric Fractals and the Chaos Game

For Teachers 8th - 10th
Students define fractals and patterns. They explore how a seemingly random process can result in a pattern. Students practice probability and fractions skills by playing the chaos game online.
Lesson Plan
Curated OER

Fun With Fractals

For Teachers 7th - 11th
Students use fractals to analyze nature. In this geometry lesson, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.
Lesson Plan
Curated OER

Fractal and the Dragon Curve

For Teachers 11th - 12th
Pupils explore Fractal designs. In this geometry lesson, students observe the different polygons created in nature and relate it to math. They define polygons on planes and rotate polygons about a point.
Lesson Plan
Curated OER

The Dragon Curve Fractal

For Teachers 8th - 11th
Students identify the properties of a dragon curve. In this geometry lesson, students identify sequences and patterns as they solve fractals. They investigate patterns found in nature.
Lesson Plan
Curated OER

Big Fleas Have Little Fleas!

For Teachers 7th - 8th
Students study seamounts and learn the importance of structures to species. In this ocean explorer lesson, students participate in an activity that teaches them how to modify a seamount so that they are more suitable for species. 
Lesson Plan
Curated OER

CHAOS AND COMPUTERS

For Teachers 9th - 12th
Students discuss the Chaos Theory and how it came into existence.They observe order and compare it to the randomness of chaos. The lesson features the playing of a game to reinforce concepts.
eBook
Mathigon

Mathigon: Algebra: Sequences: Pascal's Triangle

For Students 9th - 10th
This lesson focuses on Pascal's Triangle, a number pyramid in which every cell is the sum of the two cells directly above. It contains all binomial coefficients, as well as many other number sequences and patterns.
Activity
Fundación Cientec

Fractales en Su Aula

For Students 9th - 10th
Lesson plans and activities available in Spanish dealing with fractals. Some are also available in English. Activities are step by step and easy to understand. Included topics are the Koch Snowflake, Sierpinski's triangle, and Pascal's...
Activity
Texas Instruments

Texas Instruments: Numb3 Rs: I, It, Itera, Iteration

For Teachers 9th - 10th
Based off of the hit television show NUMB3RS, this lesson introduces students to the notion of Brownian motion and has students graph a sample Brownian particle. In Brownian motion, each "step" depends on the "steps" taken previously,...

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