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Worksheet
Curated OER

Topology - The Mathematics of Distortion

For Students 7th
In this topology instructional activity, 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...
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Instructional Video5:03
TED-Ed

What in the World Is Topological Quantum Matter?

For Students 9th - Higher Ed Standards
Time to expand your thinking! A video lesson begins with an explanation of topology and its application to new technology. The narrator shares examples of electron transfer of electricity and data storage in computers.
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Lesson Plan
Curated OER

Applied Science - Science and Math Lab

For Teachers 4th - 11th
Young scholars investigate topology. In this Applied Science lesson students explore higher, more abstract mathematics using tangles. Young scholars make topologically related shapes.
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Lesson Plan
Curated OER

Topology and Geomery

For Teachers 6th - 9th
Learners 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.
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Lesson Plan
Curated OER

Dough Lake Topology

For Teachers 9th - 12th
Learners practice coordinates and measurements, develop 2D, 3D topological map, construct grid with string on real surface, establish "level" fixed point for measurements, take and record data points of elevation, and enter data on...
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Instructional Video4:49
SciShow

The 2016 Nobel Prizes: Chemistry and Physics!

For Students 9th - 12th Standards
Tiny discoveries won big at the 2016 Nobel prize ceremony, recognizing chemists who developed new machines out of molecules and pushed the limits of nanotechnology. Individuals see how physicists created new materials through topology...
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Interactive
Curated OER

Math Puzzles: Connected Loops

For Students 6th
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.
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Activity
DiscoverE

Designing Highway Interchanges

For Teachers 3rd - 8th Standards
How do engineers determine the most efficient highway designs? Introduce young scientists to the world of topology, the branch of mathematics that examines how things are connected. Teams use model highways to create the most...
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Worksheet
Curated OER

Extra Problems For Homework 7: Dimension

For Students 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.
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Worksheet
Curated OER

Hints and Extra Problems for Homework 8: Metric Space

For Students 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.
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Lesson Plan
Curated OER

Paths and Circuits

For Teachers 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. 
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Lesson Plan
Curated OER

Country: Ghana

For Teachers 4th - 6th
Learners 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.
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Instructional Video1:19
MinutePhysics

The Hairy Ball Theorem

For Students 9th - Higher Ed
Math tells us that it is impossible to comb a ball of hair. The 23rd video of an informative physics series helps learners understand the physics implications of this statement. Through an analysis of vectors, the video narrator connects...
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Lesson Plan
Curated OER

Math: Seifert Surface

For Teachers 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...
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Lesson Plan
Curated OER

Field Research Project: Comparing the Parent Rock Material of the San Francisco Terranes With Local Soil Types

For Teachers 10th - 12th
Pupils 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.
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Lesson Plan
Curated OER

Euler Characteristic

For Teachers 9th - 11th
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.
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Worksheet
Curated OER

Latch Circuits

For Students 9th - 12th
In this circuit worksheet students complete a series of short answer questions using circuit diagrams to show the input and output of different switches. 
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Worksheet
Curated OER

Connecting Dots

For Students 4th - 8th
For this connecting dots worksheet, students solve a word problem involving connecting dots using a continuous line. Students complete 1 complicated higher order thinking problem.
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Instructional Video4:46
1
1
3Blue1Brown

Three-dimensional Linear Transformations | Essence of Linear Algebra, Footnote

For Students 11th - Higher Ed Standards
Bring it all to three dimensions. The short video points out that the discussion in the previous presentations in two dimensions also holds true for three dimensions. The sixth video in the series of 15 specifically makes the connections...
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Worksheet
Curated OER

The Fed Ex Problem

For Students 6th - 10th
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.
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Lesson Plan
Curated OER

The Fresh Prince of Bel Air Gets Connected

For Teachers 9th - 12th
Students view video clips from the TV show, "The Fresh Prince of Bel Air" to show their different uses of computers. They review the steps involved in designing and planning a networked office or home and analyze the needs of the users...
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Lesson Plan
Curated OER

Topo Map Mania!

For Teachers 6th - 8th
Students read and use topographical maps. They also use a compass to find bearing to an object on a map and in the classroom. Ask your students how they might travel to somewhere they have never been to befo
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Interactive
Curated OER

Design Project: Audio Power Amplifier

For Teachers 10th - Higher Ed
In this audio power amplifier worksheet, students answer five questions about class A amplifiers, sound pressure, crossover distortion, and amplifier design.
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Worksheet
Curated OER

Mobius Card- An Impossible shape

For Students 9th - 11th
In this algebra worksheet, students solve word problems using linear equations and algebraic symbols. There is one problem with an answer key.

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