Curated OER
The Konigsberg Bridge Problem
In this Konigsberg Bridge problem instructional activity, students solve 35 short answer problems. Students construct networks consisting of even and odd vertices. Students make conjectures about the number of odd and even vertices on a...
Curated OER
Lesson 10: Graphs
Students explore graph theory. In this geometry lesson, graphs are used to solve problems in a variety of domains. In this lesson the term graph refers to a collection of vertices and edges used to depict travel routes.
Curated OER
Three for the Money: The Degree/Diameter Problem
Students explore the concept of vertex-edge graphs. In this vertex-edge graphs lesson, students try to construct a graph with a given diameter, number of vertices, size, and planarity. Students construct various vertex-edge graphs with...
West Contra Costa Unified School District
Conics Introduction and Parabolas
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
Curated OER
Graph Theory
Students 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...
Curated OER
Three for the Money: The Degree/Diameter Problem
Students explore the degree, diameter, planarity, and size of graphs. In this degree, diameter, planarity, and size of graphs lesson, students try to construct a graph with more than 12 vertices that satisfy all other requirements. ...
Curated OER
Examining Geometric Solids
Students explore geometry by completing a math worksheet in class. In this shape identification instructional activity, students identify the characteristics associated with 15 solid geometric shapes. Students identify patterns between...
Curated OER
Coloring Interval Graphs
Students investigate planning an activity and getting it done on time. In this algebra lesson, students define vocabulary words related quadratic equations, including the vertex and intervals. They figure a good way to color graphs...
Concord Consortium
Painted Stage
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
Curated OER
Eulerian Paths and Circuits
Students explore the concept of euler paths and circuits. In this euler paths and circuits lesson, students discuss the bridges of Königsberg problem. Students discuss how to determine if an euler circuit exists. Students discuss the...
Curated OER
Travel Problems
This worksheet is actually an entire chapter focused on math problems involving, shortest path, minimum connector, traveling salesman, and Chinese postman problems. There are multiple activities, exercises, and examples to get students...
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from instructional activity number eight in this series, learners now find the area and perimeter of any polygon on the coordinate plane. They decompose the polygons into triangles...
EngageNY
Finding Systems of Inequalities That Describe Triangular and Rectangular Regions
How do you build a polygon from an inequality? An engaging instructional activity challenges pupils to do just that. Building from the previous instructional activity in this series, learners write systems of inequalities to model...
Curated OER
Pick's Theorem
Students investigate polygons and their lattice. In this calculus lesson, students record data using different methods. They analyze their data and draw conclusions based on the relationship between the area and the interior lattice.
Curated OER
Math Matching Worksheet
In this math worksheet, high schoolers match math vocabulary to definitions and then solve problems using Euler's theorem and Fleury's algorithm. Students complete 24 problems.
Curated OER
Worksheet 34
In this math worksheet, students find the plane perpendicular to the path (t2, t, cos 2πt) at time t = 1/4. Then they determine the location in which the object is moving the fastest.
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