# Topology Teacher Resources

Find Topology educational ideas and activities

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**1**-**20**of**92**resources#### Applied Science - Science and Math Lab

4th - 11th

Learners investigate topology. In this Applied Science lesson students explore higher, more abstract mathematics using tangles. Learners make topologically related shapes.

#### Topology and Geomery

6th - 9th

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.

#### Extra Problems For Homework 7: Dimension

12th - Higher Ed

In this dimension worksheet, students explore manifolds of dimension and find equivalence relations. This one-page worksheet contains three multi-step problems.

#### Hints and Extra Problems for Homework 8: Metric Space

12th - Higher Ed

In this metric space worksheet, students determine if a function is continuous and find the metric space. This one-page worksheet contains three problems.

#### Paths and Circuits

K - 8th

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.

#### Euler Characteristic

9th - 11th

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.

#### The Moebius Strip

4th - 6th

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.

#### How to Draw N-space Cubes

9th - 12th

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.

#### 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.

#### Inside Or Outside?

4th - 6th

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.

#### Math: Seifert Surface

6th - 8th

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.

#### The Four-Color Problem: Concept and Solution

8th - 12th

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?

#### Active Filters

1st

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.

#### A VIEW FROM THE TOP

K - 5th

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.