CK-12 Foundation
Newton's Method
Does the accuracy of the first guess make a difference down the line? Learners investigate the effects of the iterative process of finding roots, using Newton's Method. By moving the initial guess of a root on a graph, pupils observe the...
CK-12 Foundation
Newton's Method
Use an iterative process to find an approximation of a square root. Pupils use the interactive to find an approximation to find the positive root of a quadratic function with Newton's method. With the graphs, learners position the...
Curated OER
Introduction to Fractals: Geometric Fractals
Students 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. Students complete worksheets based on Geometric Fractals.
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: 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
Geometry Everywhere; Fractal, Math & Form
Students explore fractal geometry. They do online explorations of fractals to discover applications of fractal geometry for a report.
Curated OER
Iterating Linear Functions
Learners use a spreadsheet to investigate data. In this algebra lesson, students collect and graph data on a coordinate plane. They explain properties of a linear equation both algebraically and orally.
Curated OER
The Mandelbrot Set
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.
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
1, 2, 3 o' Clock Rock
Second graders identify the hour and minute hands. They tell time by the hour, nearest quarter hour, half hour, and determine the relationships of time (e.g. minutes in hour, days in a month, weeks in a year). They create over-sized...
Agile Mind
Transforming Graphs of Quadratic Functions
In the activity on this webpage, learners use interactive graphing technology to investigate transformations of graphs. In the first part of the task, they look at the graph of a quadratic function with coordinates of a few points...
Curated OER
Irregular Fractals
Students study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.
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
Introduction to Fractals: Infinity, Self-Similarity and Recursion
Young scholars 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...
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
Fractals Rock: Investing the Fractal Tree
Students investigate the relationship between fractals and sequences. In this geometry instructional activity, students build a fractal tree. They investigate different career fields where fractals are used in the real world.
Curated OER
Koch Snowflake
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.
Curated OER
Fractals: Koch Snowflake
Students investigate the properties of Koch's snowflake. In this geometry lesson, students investigate fractals and patterns. They create Koch's snowflake using Cabri software.
Curated OER
Investigating the Sierpinski Triangle
Students solve and analyze the sierpinski's triangle. For this geometry lesson, students identify properties and theorem of triangles. They solve problems involving angles and sides of triangles.
Curated OER
The Sierpinski Triangle
Learners 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
Properties of Fractals
Learners 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 trial...
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
Getting Familiar with Fractals
Students use the Internet to answer lab questions about fractals, and then construct fractals using the initial stage and iteration rule. They complete tables and generate rules for the "nth" term and create their own fractals.
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...