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\n\"TeachEngineering:\n\n
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\nLesson Planet Curated\n
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\nTeachEngineering: It's a Connected World - The Beauty of Network Science\n

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\n\nFor Teachers\n\n7th - 10th\n\nStandards\n
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\nA series of lessons and activities show scholars how engineers use graphs to understand large and complex systems. The first lesson provides the beginnings of graph theory by introducing set theory, graphs, and degree distributions of a...\n
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\n\n38\nItems in Assessment Set\n\n
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\n\"Balanced\n\n
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\nLesson Planet Curated\n
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\nBalanced Assessment: Advanced High School Math Packet\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nNineteen resources make up the Balanced Assessment: Advanced High School Math Packet designed to test learners' knowledge in Algebra II, Geometry, and Pre-Calculus classes. To demonstrate their understanding of concepts related to these...\n
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Lesson Plan
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\n\"Coloring\n\n
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\nInstitute of Electrical and Electronics Engineers\n
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\nColoring Discrete Structures\n

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\n\nFor Teachers\n\n6th - 9th\n
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\nWhat's the least number of colors needed to color a U.S. map? The lesson begins by having pupils view a video clip on continuous and discrete phenomenon, then launches into an activity reminiscent of Zeno's paradox. A separate video...\n
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Instructional Video4:38
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\n\"How\n\n
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\nTED-Ed\n
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\nHow the Königsberg Bridge Problem Changed Mathematics\n

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\n\nFor Students\n\n9th - Higher Ed\n
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\nThere is one bridge too many. A video presents the history of the Konigsberg Bridge problem. To solve the problem, Euler invented a new branch of mathematics—and graph theory was born. Using this new branch of mathematics, mathematicians...\n
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Lesson Plan
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\n\"Choose\n\n
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\nTryEngineering\n
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\nChoose Your Best Way\n

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\n\nFor Teachers\n\n6th - 12th\n
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\nFind the best path through town. The lesson teaches future computer programmers about networks and paths in graph theory. They develop a network of their towns to determine the most efficient path to visit each of their homes.\n
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Lesson Plan
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\n\"Networks\n\n
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\nNetworks\n

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\n\nFor Students\n\n6th - 8th\n\nStandards\n
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\nEver wonder how the Internet works? The lesson teaches scholars the basics of graph theory and how it applies to the Internet. They perform simulations to see how information is sent on the Internet.\n
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Lesson Plan
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\n\"Lesson\n\n
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\nCurated OER\n
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\nLesson 10: Graphs\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nStudents explore graph theory.  In this geometry lesson plan,  graphs are used to solve problems in a variety of domains.  In this lesson plan the term graph refers to a collection of vertices and edges used to...\n
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Lesson Plan
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\n\"Graph\n\n
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\nGraph Theory\n

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\n\nFor Teachers\n\n10th - Higher Ed\n
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\nStudents explore the concept of graph theory. In this graph theory lesson, students participate in hands-on activities that enforce graph theory. Students manipulate graph applets on the internet. Students create a graphical model of...\n
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Instructional Video4:18
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\n\"Can\n\n
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\nCan You Solve the River Crossing Riddle?\n

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\n\nFor Students\n\n6th - 8th\n
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\nGetting three wildebeest across a river should be no problem— but what happens when you add three lions to the mix? Watch a video that features a classic river-crossing puzzle with a crocodile twist. Viewers listen as the narrator...\n
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\n\"Leadership\n\n
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\nCurated OER\n
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\nLeadership Program in Discrete Mathematics\n

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\n\nFor Teachers\n\n6th - 8th\n
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\nStudents, using Pascal's triangle, find the number of items given each day in the song, \"The 12 Days of Christmas.\"\n
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\n\"Data\n\n
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\nData Analysis, Probability, and Discrete Mathematics\n

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\n\nFor Teachers\n\n4th\n
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\nFourth graders analyze the data in a bar graph, pictograph, line graph, and a chart/table and draw conclusions based on the data. They discuss each type of graph, write questions for each graph, and analyze the data as a class.\n
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\n\"Application\n\n
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\nCurated OER\n
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\nApplication of Graph Theory\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nStudents investigate different online tutorials as they study graphing. In this graphing lesson, students apply the concept of graphs cross curricular and use it to make predictions. They define the purpose and theories behind graphs.\n
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Activity
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\n\"The\n\n
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\nComputer Science Unplugged\n
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\nThe Poor Cartographer—Graph Coloring\n

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\n\nFor Teachers\n\n2nd - 12th\n
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\nColor the town red. Demonstrate the concept of graph theory with a task that involves determining the least number of colors needed to color a map so that neighboring countries are not represented by the same color. Pupils...\n
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Lesson Plan
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\n\"Complex\n\n
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\nTeach Engineering\n
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\nComplex Networks and Graphs\n

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\n\nFor Students\n\n7th - 10th\n\nStandards\n
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\nShow your class how engineers use graphs to understand large and complex systems. The resource provides the beginnings of graph theory by introducing the class to set theory, graphs, and degree distributions of a graph. \n
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\n\"Data\n\n
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\nCurated OER\n
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\nData Analysis, Probability, and Discrete Mathematics: Lesson 4\n

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\n\nFor Teachers\n\n8th\n
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\nEighth graders investigate the concepts of probability while performing data analysis. They apply statistical methods in order to measure or predict some possible outcomes. The information is collected and graphed, 8th graders analyze...\n
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Lesson Plan
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\n\"Leadership\n\n
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\nCurated OER\n
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\nLeadership Program in Discrete Mathematics\n

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\n\nFor Teachers\n\n3rd - 4th\n
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\nStudents find the total cost of the items in the song, \"The 12 Days of Christmas.\"\n
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Lesson Plan
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\n\"Eulerian\n\n
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\nCurated OER\n
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\nEulerian Paths and Circuits\n

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\n\nFor Teachers\n\n9th - Higher Ed\n
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\nYoung scholars explore the concept of euler paths and circuits. In this euler paths and circuits instructional activity, students discuss the bridges of Königsberg problem. Young scholars discuss how to determine if an euler circuit...\n
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Instructional Video11:06
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\nDomain of Science\n
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\nThe Map of Mathematics\n

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\n\nFor Students\n\n9th - Higher Ed\n
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\nHow does all this math fit together? The resource creates a graphical view of the extent of mathematics. The map shows the pure and applied sides of studying mathematics and breaks them down into their many disciplines.\n
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Activity
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\nA Tour of Jaffa\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nUse the age-old Traveling Salesman Problem to introduce Hamilton circuits to your young travelers. Individuals then plan an efficient route to visit all the places they want to go.\n
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Assessment
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\n\"Red\n\n
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\nBalanced Assessment\n
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\nRed Dots, Blue Dots\n

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\n\nFor Students\n\n11th - 12th\n
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\nCount the connections between dots. Young mathematicians come up with a method to determine the number of connections between pairs of dots. The assessment leads the class to determine the connections they can make when groups are...\n
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\n\"One-way\n\n
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\nOne-way Functions – The WiFi Hotspot Problem\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nPupils attempt to solve the Wireless Hotspot Problem and learn why it is considered a computationally hard problem in the ninth lesson of the series on 12. They also learn about one-way functions and how the Wireless Hotspot Problem is...\n
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\nHard Problems – Traveling Salesperson Problem\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nEven computers find this to be a hard problem. In the eighth installment of a 12-part unit, young computer scientists learn about the traveling salesperson problem. They formulate algorithms to solve the problem and find out why it is...\n
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Instructional Video11:47
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\n\"Proving\n\n
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\nProving Pick's Theorem\n

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\n\nFor Students\n\n10th - Higher Ed\n
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\nPick up a resource on Pick's Theorem. Individuals watch a video explaining how to find the area of a polygon drawn on a lattice using Pick's Theorem. The film also shows a proof of the theorem using the Euler characteristic and algebra.\n
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Lesson Plan
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\n\"More\n\n
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\nMore Games on Graphs\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nStudents investigate various games employing graphs as game boards.  In this game theory lesson, students problem solve through the use of graphs.  The lesson is a list of both indoor and outdoor games to...\n
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