What Does It Mean?
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This learning activity provided by:
Author:
Lorie White
System: Lauderdale County School: Rogers High School
General Activity Information
Activity ID:
2908
Title: What Does It Mean?
Digital Tool/Resource: What Does It Mean? Exit Ticket
Web Address – URL:
Overview: Students will use a graph created by using color theory and conflict resolution to solve a scheduling problem. They will provide an explanation for their reasoning.
Associated Standards and Objectives
Content Standard(s):
Mathematics 19. Use vertex-coloring, edge-coloring, and matching techniques to solve application-based problems involving conflict.
Examples: Use graph-coloring techniques to color a map of the western states of the United States so that no adjacent states are the same color, determining the minimum number of colors needed and why no fewer colors may be used; use vertex colorings to determine the minimum number of zoo enclosures needed to house ten animals given their cohabitation constraints; use vertex colorings to develop a time table for scenarios such as scheduling club meetings or for housing hazardous chemicals that cannot all be safely stored together in warehouses.
Unpacked Content
Evidence Of Student Attainment:
Students:
Use vertex coloring and edge coloring techniques to solve application-based problems modeled using a graph.
Provide explanations for why no fewer colors may be used to color a graph. Teacher Vocabulary:
Vertex coloring
Matching techniques
Conflict graphs
Adjacent edges
Adjacent vertices
Odd wheel graph
Proper coloring Knowledge:
Students know:
Graphing procedures and properties. Skills:
Students are able to:
Model application-based problems that may be solved using graph colorings.
Color the edges or vertices of a graph using the least number of colors so that no two adjacent vertices or edges are colored the same.
Interpret the coloring of the graph in terms of a solution for an application-based problem, such as scheduling committee meetings (vertex colorings) or class scheduling (edge-colorings).
Identify structures in a graph that require a minimum number of colors for a proper coloring. Understanding:
Students understand that:
-Techniques are used to minimize colors needed to color the vertices (edges) of a graph so that no two adjacent vertices (edges) are colored the same.
-Real-world problems such as scheduling and conflict can be modeled with graphs and solved using the minimization of the number of colors. Diverse Learning Needs:
Learning Objectives: The students will decipher a graph that has been created using color theory and conflict resolution to solve a problem.
The students will determine who should be in the same room on a school trip and how many rooms are needed.
The students will explain their reasoning and thinking.
Strategies, Preparations and Variations
Phase: After/Explain/Elaborate
Activity:
Direct each student to the Google Document "What Does It Mean?"
Instruct the students to read the problem, examine the graph, and answer the prompts provided in the activity.
Circulate while students are working and assist with any questions or problems they might encounter.
Teachers will use their responses to address any misconceptions.
Assessment Strategies: Teachers can collect student responses and use them to address any misconceptions.
Students could also share their thinking with a partner and they can critique each other's thinking.
Advanced Preparation: The teacher will need to ensure the classroom has the following:
internet connection (WiFi).
classroom set of computers, iPads, or smart devices. (If allowed students can use their own personal devices.)
Prior to the lesson, the teacher will need to share the document What Does It Mean? with students.
The teacher should work through the problems and be familiar with possible student responses.
Variation Tips (optional): This activity is designed to be an exit ticket to provide insight into student understanding. If devices are not available, the activity could be printed and distributed to the class.
If there are not enough devices for students to have their own, students can work in pairs or small groups to complete the activity.
Notes or Recommendations (optional):
Keywords and Search Tags
Keywords and Search Tags:
Color Theory, Conflict Resolution, Graph Theory
