Lesson Plan
Curated OER

Patterns in Nature

For Teachers 9th - 12th
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...
PPT
Curated OER

Alice in Fractalland

For Teachers 4th - 8th Standards
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...
Lesson Plan
Curated OER

Fabulous Fractals

For Teachers 5th - 8th
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.
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

Patterns in Pascal's Triangle

For Teachers 5th - 11th
Students examine the patterns in Pascal's Triangle. In this recognizing lesson plan, 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.
Interactive
CK-12 Foundation

Exponential Growth: Exponential, Fractal Snowflakes

For Students 10th - 12th Standards
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.
Lesson Plan
Curated OER

What are Fractals?

For Teachers 6th - 12th
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...
Lesson Plan
Curated OER

Introduction to Fractals: Infinity, Self-Similarity and Recursion.

For Teachers 9th - 12th
This instructional activity introduces students to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and
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

Finding Patterns in Fractals

For Teachers 7th - 8th
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.
Lesson Plan
Curated OER

Patterns in Fractals

For Teachers 8th - 10th
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...
Lesson Plan
NOAA

To Explore Strange New Worlds

For Teachers 5th - 12th
It's time to boldly go where your class has not gone before! The introductory lesson in a five-part series takes young oceanographers aboard the NOAA Ship Okeanos to begin a study of ocean exploration. The lesson includes a comparison of...
Lesson Plan
Curated OER

Fractals Forever or Obvious and Hidden Order

For Teachers 9th - 12th
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...
Lesson Plan
Curated OER

Introduction to Fractals: Geometric Fractals

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

Fun With Fractals

For Teachers 7th - 11th
Students use fractals to analyze nature. In this geometry activity, 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

Fractals, An Inquiry

For Teachers 6th - 8th
Students 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.
Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 7th - 9th
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.
Lesson Plan
Curated OER

Pascal's Triangle

For Teachers 7th - 11th
Students explore the concept of Pascal's Triangle. In 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...
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, middle schoolers are given three problems to solve. Young scholars learn about Sierpinski's triangle, how to calculate...
Unit Plan
Mathematics Vision Project

Module 3: Arithmetic and Geometric Sequences

For Teachers 8th - 10th Standards
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...
Lesson Plan
Curated OER

Fractals Rock

For Teachers 9th - 11th
Learners identify the repeated sequences of a pattern. In this geometry activity, students identify fractals in patterns and nature. They construct a fractal tree and make conjectures.
Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 10th - 12th
Learners explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson plan, students use a function integrator applet to investigate two-variable function iterations. Learners use Julia set and...
Lesson Plan
Curated OER

The Dragon Curve Fractal

For Teachers 8th - 11th
Pupils 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

The Fractal Geometry of Nature

For Teachers 8th - 10th
Students identify patterns found in nature. In this algebra lesson, students model situation in nature using fractals. They investigate biological geometric structures and draw conclusion based on geometric concepts.