Students investigate the Sierpinski triangle and calculate the ratio and area of the triangle. In this fractals lesson plan, students calculate parts of a Sierpincki triangle. They use Google Earth to help them construct the different...

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.

Learners develop questions for their inquiries and plan their experiments. They are supported by a modeled case study of Max the Dog's Inquiry Planning Process, as well as supported by a planning template, The Inquiry Organizer.

This lesson introduces students to the ideas involved in understanding fractals. They develop a sense of infinity, self-similarity and recursion and

Middle schoolers 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...

Middle schoolers evaluate a playful case study about a dog searching for fetching sticks to identify the steps in the science inquiry method. They read the case study and fill in a worksheet with the examples of questions, observations...

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.

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.

Students identify biotic and abiotic factors which may alter the observed patterns in plant communities with different structural characteristics, climate, or environmental constraints.

Students explore the process and criteria for generating an effective report of their inquiries into fractals.They are provided with multiple report options for expressing their knowledge of the inquiry process.

Students find number patterns in the generation of several different types of fractals.

Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...