Curated OER
Patterns in Nature
Research patterns in nature which illustrate biological and mathematical concepts. Your class will discover and explore aspects of fractals, Fibonaccis numbers, whale and butterfly migration patterns, whale identification, flower...
Curated OER
Alice in Fractalland
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...
Curated OER
Fabulous Fractals
Students view a video to discover how patterns in nature relate to math. They explore the concept of exponential growth by observing and creating fractals. They solve and design word problems.
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
Patterns in Pascal's Triangle
Students examine the patterns in Pascal's Triangle. In this recognizing lesson, students view a model of Pascal's Triangle and describe the patterns of the multiples. Students identify the shapes that are made within Pascal's Triangle.
CK-12 Foundation
Exponential Growth: Exponential, Fractal Snowflakes
Examine an exponential growth model. Using a fractal, learners calculate the perimeters of each stage. When comparing the consecutive perimeters, a pattern emerges. They use the pattern to build an equation and make conclusions.
Curated OER
What are Fractals?
Middle and high schoolers identify and analyze fractals and research information using the Internet to locate information about them. They look at fractals in relation to nature and other real world situations. Pupils create several...
Curated OER
Introduction to Fractals: Infinity, Self-Similarity and Recursion.
This lesson plan introduces young scholars to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
Curated OER
Geometric Fractals and the Chaos Game
Learners 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
Finding Patterns in Fractals
Students discover patterns and sequences. They use a website to explore patterns and fractals. Students share their discovery of fractals and their patterns with the class. They develop a list of patterns used in everyday life.
Curated OER
Patterns in Fractals
Students explore the concept of fractal patterns. In this fractal pattern lesson, students use an applet about the Hilbert Curve to answer questions about rectangles and other polygons. Students derive the fractal pattern when dividing...
NOAA
To Explore Strange New Worlds
It's time to boldly go where your class has not gone before! The introductory lesson plan in a five-part series takes young oceanographers aboard the NOAA Ship Okeanos to begin a study of ocean exploration. The lesson plan includes a...
Curated OER
Fractals Forever or Obvious and Hidden Order
Students discuss ways computers use properties of similar figures to generate scale models and create scenes. they describe patterns they have seen on a fern, pineapple, or pinecone. Students research Benoit mandebrot, H. von Koch and...
Curated OER
Introduction to Fractals: Geometric Fractals
Learners explore the concept of fractals. For this fractals lesson, students discuss Sierpinski's Triangle using an applet. Learners discuss the patterns involved with fractals. Students discuss the area of Sierpinski's triangle as the...
Curated OER
Fun With Fractals
Students use fractals to analyze nature. In this geometry instructional activity, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.
Curated OER
Fractals, An Inquiry
Learners observe and discuss several different fractal drawings and relate them to patterns they see in nature. They use an online fractal tool to create and modify a fractal image and then create their own fractal image with paint.
Curated OER
Patterns in Pascal's Triangle
Young scholars examine the patterns that exist in Pascal's Triangle. They explore multiples and factors. Sudents use an applet to create and color the multiples in Pascal's Triangle.
Curated OER
Pascal's Triangle
Students explore the concept of Pascal's Triangle. For this Pascal's Triangle lesson, students use an applet called 'Coloring Multiples' to explore Pascal's Triangle. Students develop patterns starting with various numbers in Pascal's...
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...
Mathematics Vision Project
Module 3: Arithmetic and Geometric Sequences
Natural human interest in patterns and algebraic study of function notation are linked in this introductory unit on the properties of sequences. Once presented with a pattern or situation, the class works through how to justify...
Curated OER
Fractals Rock
Students identify the repeated sequences of a pattern. In this geometry lesson, students identify fractals in patterns and nature. They construct a fractal tree and make conjectures.
Curated OER
The Mandelbrot Set
Students explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot set...
Curated OER
The Dragon Curve Fractal
Students identify the properties of a dragon curve. In this geometry instructional activity, students identify sequences and patterns as they solve fractals. They investigate patterns found in nature.
Curated OER
The Fractal Geometry of Nature
Students identify patterns found in nature. In this algebra instructional activity, students model situation in nature using fractals. They investigate biological geometric structures and draw conclusion based on geometric concepts.