Lesson Plan
Curated OER

Introduction to Fractals: Infinity, Self-Similarity and Recursion

For Teachers 9th - 12th
Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
Lesson Plan
Curated OER

The Fractal Coast

For Teachers 9th - 11th
Learners investigate measuring as it relates to the real world. In this geometry lesson, students measure distances as they discuss fractals and how it relates to measuring. They measure both linear and non-linear distances.
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

Lesson #10 Fractals

For Teachers All
Students listen to a lecture on fractals. A video is mentioned, but not linked to the lesson. Students discuss graphing calculators and their features.
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...
Lesson Plan
Curated OER

Geometry: Fractal Scavenger Hunt

For Teachers 7th - 12th
Students experience an Internet fractal scavenger hunt. They write a report on fractals using the Internet and recording the sites where they are located.
Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 7th - 12th
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.
Lesson Plan
Curated OER

Koch Snowflake

For Teachers 9th - 10th
Students investigate Koch's Snowflake. In this geometry lesson, students identify the properties of creating Koch's snowflake. They solve problems dealing with fractals and patterns.
Lesson Plan
Curated OER

Cutting Up in Class, Fractal Style

For Teachers 4th - 7th
Learners create three-dimension models demonstrating exponents, multiplying and dividing of fractions, and the use of repeating patterns in tessellations, mirror images, and tiling.
Lesson Plan
Curated OER

Properties of Fractals

For Teachers 6th - 8th
Middle schoolers build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by...
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...
Lesson Plan
Curated OER

Cantor Set

For Teachers 9th - 12th Standards
Discover an interesting mathematical object that your algebra learners will enjoy investigating. Their adventure will lead them to the generation of a finite geometric series.
Lesson Plan
National Research Center for Career and Technical Education

Business Management and Administration: Compound Interest - A Millionaire's Best Friend

For Teachers 6th - 12th Standards
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
Activity
Noyce Foundation

Surrounded and Covered

For Students K - 12th Standards
What effect does changing the perimeter have on the area of a figure? The five problems in the resource explore this question at various grade levels. Elementary problems focus on the perimeter of rectangles and irregular figures with...
Lesson Plan
Curated OER

The Mandelbrot Set

For Teachers 9th - 12th
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
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 plan, students participate in an activity that teaches them how to modify a seamount so that they are more suitable for...
Lesson Plan
Curated OER

Patterns in Pascal's Triangle

For Teachers 7th - 9th
Learners 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

Spatial Characterization of Animal Movement

For Teachers 9th - 10th
Students identify biotic and abiotic factors which may alter the observed patterns in plant communities with different structural characteristics, climate, or environmental constraints.
Activity
Wake Forest University

Authentic Activities for Connecting Mathematics to the Real World

For Students 6th - 12th Standards
Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...
Activity
Noyce Foundation

Cut It Out

For Students K - 12th Standards
Explore the mathematics of the paper snowflake! During the five lessons progressing in complexity from K through 12, pupils use spatial geometry to make predictions. Scholars consider a folded piece of paper with shapes cut out....
Worksheet
Curated OER

Two-Variable Function Pump Exploration Questions

For Students 11th - 12th
Guiding learners through two variable (complex) functions, this worksheet helps them perform complex arithmetic on 6 expressions. They iterate several functions with given starting points, determining whether each is a prisoner, escapee,...
Lesson Plan
Curated OER

Snowflake Curve

For Teachers 6th - 8th
Students develop an appreciation for complex structures in nature. They observe patterns in nature in relationship to the Real World. Students use observation skills to assist in problem solving. They show comprehension of the concepts...
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

Scientific Notation

For Teachers 6th - 8th
Students explore the concept of expressing numbers in scientific notation. For this scientific notation lesson, students understand the importance of using scientific notation by finding real world examples where scientific notation is...

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