Curated OER
Topology - The Mathematics of Distortion
In this topology worksheet, 7th graders solve and complete 12 different problems that include shapes and math distortion. First, they use the forms of capital letters as guides, stretch or bend the shape in the first column into as many...
Curated OER
Applied Science - Science and Math Lab
Learners investigate topology. In this Applied Science lesson students explore higher, more abstract mathematics using tangles. Learners make topologically related shapes.
Curated OER
Topology and Geomery
Students relate topology to polygons. In this geometry lesson, students make the connection between different shapes and topologically equivalent relationships. They use Mobius strips to create and move shapes around.
Curated OER
Math Puzzles: Connected Loops
In this math puzzles: connected loops worksheet, 6th graders read an explanation of the puzzle, then solve by figuring out how to connect the loops, answer is available online.
Curated OER
Extra Problems For Homework 7: Dimension
In this dimension worksheet, learners explore manifolds of dimension and find equivalence relations. This one-page worksheet contains three multi-step problems.
Curated OER
Hints and Extra Problems for Homework 8: Metric Space
In this metric space worksheet, students determine if a function is continuous and find the metric space. This one-page worksheet contains three problems.
Curated OER
Math: Seifert Surface
Young scholars use wire to make knots and submerse them in pans of detergent to observe how the soap film clings to the wire. They discover this film is called the Seifert Surface. After drawing pictures of the surface, they discuss...
Curated OER
Connecting Dots
In this connecting dots worksheet, students solve a word problem involving connecting dots using a continuous line. Students complete 1 complicated higher order thinking problem.
Curated OER
The Fed Ex Problem
In this Fed Ex worksheet, students read a word problem about air travel and time to deliver packages and solve it. Students complete 1 problem.
Curated OER
Mobius Card- An Impossible shape
In this algebra worksheet, students solve word problems using linear equations and algebraic symbols. There is one problem with an answer key.
Curated OER
Euler Characteristic
Students identify the different properties of Euler's Characteristics. In this geometry lesson, students identify the shape and surface a polygon. They relate the concept of Euler to solving real world problems.
Curated OER
Math Morphing Proximate and Evolutionary Mechanisms
Students identify the different types of fractals. In this geometry lesson plan, students use math to analyze different biological phenomena. They collect data from the experiments and construct graphs.
Curated OER
Rubber Gardens
Students recycle discarded automobile tires and create gardening sites for limited space areas.
Curated OER
The Quest For Power
High schoolers investigate and apply properties of math. For this algebra and physics lesson, students define important vocabulary words to create a basic understanding of keywords. They perform experiments using concepts of electricity...
Wolfram Research
Wolfram Math World: Topology: Topics
A dozen topology topics are listed here for both the teacher's and the student's use. Knot Theory, Bundles, and Topology Structures are just some of the areas which are explored in depth. Detailed explanations and necessary sketches and...
Annenberg Foundation
Annenberg Learner: Mathematics Illuminated: Topology's Twists and Turns
What is topology? And how does this area of mathematics allow us to study the shape and interconnectedness of the universe we live in? Video presentation answers these questions via a lively presentation of discussion, examples, and...
National Council of Teachers of Mathematics
The Math Forum: Math Topics: Topology: Knot Theory
An extensive collection of sites on the topic of Knot Theory. Links to dozens of sites are provided which take the user from the basic definition of KT, through to detailed Applet programs which create knots on the spot. NOTE: Some links...
National Council of Teachers of Mathematics
The Math Forum: The Beginnings of Topology Leonard Euler
This site gives a general description of one of Euler's contributions, topology. It also presents one of the more famous problems of mathematics, The Bridges of Konigsberg.
Wolfram Research
Wolfram Math World: Foundations of Mathematics: Topics
This math tutorial site covers set theory, axioms, category theory, logic, mathematical problems, and point-set topology.
University of Texas at Austin
University of Texas: Elementary Math Club: Math Mobile
Learners explore the geometric and topological properties of three-dimensional objects. The lesson plan includes an overview and a lesson toolkit.
Annenberg Foundation
Annenberg Learner: Robots
The owner of a factory has two expensive robots to automate a manufacturing process. Use the topological concept of a configuration space to coordinate their actions and maximize their efficiency on the manufacturing floor.
Wolfram Research
Wolfram Math World: Polyhedron
This is a detailed site with numerous links related to polyhedrons, the site explains the term polyhedron in terms of geometry and algebraic topology it briefly discusses special polyhedrons which link to other Math World sites which...
Wolfram Research
Wolfram Math World: World's Most Extensive Mathematics Resource
MathWorld provides a huge mathematics encyclopedia detailing the concepts of geometry, algebra, calculus, discrete math, number theory, and other math topics--complete with formulas, diagrams, examples, and references for thorough...
University of Toronto (Canada)
University of Toronto Mathematics: Is There Really Such a Thing as "Infinity"?
See how the existence of infinity depends on the context in which it is used. Offers a look at the concept of infinity from different view points.
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