Curated OER
The Konigsberg Bridge Problem
In this Konigsberg Bridge problem worksheet, 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 vertex-edge...
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
Young scholars 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. Young scholars construct various vertex-edge...
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
Prisms, Pyramids, and Nets
Students compare and contrast the characteristics of prisms and pyramids. In groups, they are given different colored construction paper to make rectanglar prisms. They identify the shapes of the faces and record the number of faces,...
Curated OER
Three for the Money: The Degree/Diameter Problem
Students explore the degree, diameter, planarity, and size of graphs. For 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
Plane, Graphs and Paths
In this plane worksheet, students provide that a graph is bipartite, identify the paths, and identify a planar graph. This one-page worksheet contains five problems.
Curated OER
Practice Exam Part 1: Vocabulary
For this geometry worksheet, students practice constructing a variety of graphs with various degrees of vertices. Students determine whether 12 graphs have an Euler circuit or path.
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...
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
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
Focus On The Lighthouse
Students explore the equation of a parabola. Given a real life situation concerning a light house and a boat, students use wax paper to model and observe a relationship among given points. They write an equation describing the possible...
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Curated OER
Match Game: Enrichment
In this solid figures learning exercise, students choose a shape from the box that fits the bar graph totals for the faces, edges, and vertices. Students then complete the last bar graph using the one unused shape.
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...
Code.org
Algorithms Detour - Minimum Spanning Tree
This optional lesson introduces the class to the idea of a minimum spanning tree. The activity focuses on determining an algorithm that will find the most efficient path in a network to transfer data.
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...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Tracing Worksheet
In this geometry worksheet, learners explore graphing characteristics. Students complete seven short answer and problem solving questions about graphing and whether or not one can be traced.
EngageNY
Perimeter and Area of Polygonal Regions in the Cartesian Plane
How many sides does that polygon have? Building directly from lesson 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 and use Green's...
Curated OER
Discovering Euler’s Formula for Planar and 3D Figures
In this Geometry worksheet, 10th graders investigate the number of regions, edges, and vertices of sixteen planar figures in order to discover Euler’s Formula. The two page worksheet contains a chart for the results of the investigation...
Curated OER
Geometric Transformations
Students solve problems involving transformations of geometric figures. They review graphing points in the coordinate plain, plot points and connect to create a triangle. Then, they reflect triangles over the x and y axis and use...
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