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World Mysteries
Pascal’s Triangle and Sierpinski Triangle
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,...
Curated OER
Big Fleas Have Little Fleas
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...
National Council of Teachers of Mathematics
Math Challenge #23: Fractals
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...
Curated OER
The Sierpinski Triangle
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.
Curated OER
Using Cabri Geometry to Create Fractals
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.
Curated OER
Investigating the Sierpinski Triangle
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.
Curated OER
Fractals Teachers' Notes
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...
Curated OER
Fractals and the Chaos Game
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.
Curated OER
Pyramid in The Desert
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...
Curated OER
Introduction to Fractals: Geometric Fractals
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.
Curated OER
Fractals
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...
Curated OER
Introduction to Fractals: Geometric Fractals
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...
Curated OER
The Chaos Game
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.
Curated OER
Colorful Triangles
Students make colorful triangles known as Sierpinski's Carpet, using colored pencils and paper.
Curated OER
Patterns
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.
Curated OER
Geometric Fractals and the Chaos Game
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.
Curated OER
Fun With Fractals
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.
Curated OER
Fractal and the Dragon Curve
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.
Curated OER
The Dragon Curve Fractal
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.
Curated OER
Big Fleas Have Little Fleas!
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.
Curated OER
CHAOS AND COMPUTERS
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.
Mathigon
Mathigon: Algebra: Sequences: Pascal's Triangle
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.
Fundación Cientec
Fractales en Su Aula
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...
Texas Instruments
Texas Instruments: Numb3 Rs: I, It, Itera, Iteration
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,...