Topology Teacher Resources

Find Topology educational ideas and activities

Showing 1 - 20 of 92 resources
Learners investigate topology. In this Applied Science lesson students explore higher, more abstract mathematics using tangles. Learners make topologically related shapes.
Students relate topology to polygons. In this geometry activity, students make the connection between different shapes and topologically equivalent relationships. They use Mobius strips to create and move shapes around.
For 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 letters as possible. Then, students match each shape to its topologically equivalent design.
In this dimension worksheet, students explore manifolds of dimension and find equivalence relations. This one-page worksheet contains three multi-step problems.
In this metric space worksheet, students determine if a function is continuous and find the metric space. This one-page worksheet contains three problems.
Students complete math puzzles. In this graph theory lesson, students look at an image and attempt to trace it without picking up their pencil or retracing their line. They see to count the nodes to find where to begin tracing. 

Knot Again!

8th - 10th
In this know theory worksheet, students use a string to create several different loop shapes.
Students identify the different properties of Euler's Characteristics. In this geometry lesson plan, students identify the shape and surface a polygon. They relate the concept of Euler to solving real world problems.
Students identify the different types of fractals. In this geometry lesson, students use math to analyze different biological phenomena. They collect data from the experiments and construct graphs.
Students investigate mathematical patterns using the Moebius Strip. The Moebius Strip is an interesting topological figure. The investigation also provides a good exercise in having students derive a generalization from their empirical observations.
Learners draw hypercubes using both an intuitive visual and mathematical approach. They access an online tutorial, listen to class lectures and follow step-by-step directions to draw a hypercube.
Students investigate rocks and minerals and take a field trip to sample soils. They analyze rocks and soil, research the geological terrenes of the topology of San Francisco, and produce a lab research report.

Country: Ghana

4th - 6th
Students investigate the culture, history, and government of Ghana. They take a virtual journey and discover the sports, arts, crafts, and food of Ghana. They observe how Kente cloth is made.
For this inside or outside worksheet, students experience determining whether certain points are inside or outside a simple closed curve. Students decide which of the points A, B, and/or C are inside and which are outside the curve.
For 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.
Students 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 what happens when other knots are dipped in the solution.
Take a walk through time, 1852 to 1994, following the mathematical history and development of the Four-Color Theorem. Learners take on the role of cartographers to study an imaginary world of countries that need to be mapped. One rule: no adjacent country can be the same color. One question: What is the minimum number of colors the map maker should keep in stock?
In this electrical worksheet, 1st graders design and build a circuit model to grasp the understanding of filters in circuits pertaining to impedance and cut-off frequency. They answer a series of 31 open-ended questions that include analyzing schematics. This worksheet is printable and there are on-line answers to the questions.

Class A: BJT Amplifiers

10th - Higher Ed
Within this electrical circuit worksheet, students draw a schematic design and build a transmitter to grasp the understanding of bipolar junction amplifiers before answering a series of 62 open-ended questions in which they will analyze schematic drawings. This worksheet is printable and there are on-line answers to the questions.
Students explore the idea of aerial photography through the story of Amelia the Pigeon. They view an actual aerial photograph of their school or home, and then write a story describing what Amelia would see if she flew over their school or house.

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