Football Follies  Congruent Triangles (view)
Units included with this Open Author resource:
 Original Author: Paula Cecil
 Football Follies Understand the Problem/Ask

 Keywords:
 Congruent Triangles, Engineering Design Process
 Football Follies  Brainstorm

 Keywords:
 Congruent Triangles, engineering design process
 Part A Independent Brainstorming

 Keywords:
 Congruent Triangles, engineering design process
 Football Follies  Plan
 Football Follies  Prototype, Test, and Iterate
 Football Follies  Present Your Solution
Summary
The football team's bench fell apart at the game. We need to design and build a prototype for a new bench using the properties of congruent triangles and/or parallel lines.
 Subject:
 Geometry
 Level:
 Middle School, High School
 Material Type:
 Activity/Lab
Standards
Learning Domain: Geometry
Standard: Use geometric figures and their properties to represent transformations in the plane.
Degree of Alignment: Not Rated (0 users)
Learning Domain: Geometry
Standard: Analyze relationships between twodimensional and threedimensional objects.
Degree of Alignment: Not Rated (0 users)
Learning Domain: Geometry
Standard: Apply geometric concepts to model and solve real world problems.
Degree of Alignment: Not Rated (0 users)
Learning Domain: Geometry
Standard: Apply rigid transformations to determine and explain congruence.
Degree of Alignment: Not Rated (0 users)
Learning Domain: Geometry
Standard: Apply the concept of congruence to create geometric constructions.
Degree of Alignment: Not Rated (0 users)
Learning Domain: Geometry: Congruence
Standard: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Degree of Alignment: Not Rated (0 users)
Learning Domain: Geometry: Congruence
Standard: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Degree of Alignment: Not Rated (0 users)
Learning Domain: Geometry: Congruence
Standard: Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Degree of Alignment: Not Rated (0 users)
Learning Domain: Geometry: Congruence
Standard: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Degree of Alignment: Not Rated (0 users)
Learning Domain: Geometry: Congruence
Standard: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
Degree of Alignment: Not Rated (0 users)
Pennsylvania Standards for Science and Technology and Engineering Education
Grade 10Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Apply the components of the technological design process.
Degree of Alignment: Not Rated (0 users)
Pennsylvania Standards for Science and Technology and Engineering Education
Grade 10Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Analyze a prototype and/or create a working model to test a design concept by making actual observations and necessary adjustments.
Degree of Alignment: Not Rated (0 users)
Pennsylvania Standards for Science and Technology and Engineering Education
Grade 10Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Illustrate the concept that not all problems are technological and not every problem can be solved using technology.
Degree of Alignment: Not Rated (0 users)
Pennsylvania Standards for Science and Technology and Engineering Education
Grade 12Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Apply the concept that engineering design is influenced by personal characteristics, such as creativity, resourcefulness, and the ability to visualize and think abstractly.
Degree of Alignment: Not Rated (0 users)
Pennsylvania Standards for Science and Technology and Engineering Education
Grade 12Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Apply the concept that many technological problems require a multidisciplinary approach.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Recognize design is a creative process and everyone can design solutions to problems.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Explain why the design process requires creativity and consideration of all ideas.
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Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Recognize that all products and systems are subject to failure; many products and systems can be fixed.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Understand that there is no perfect design.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Describe the engineering design process: Define a problem. Generate ideas. Select a solution and test it. Make the item. Evaluate the item. Communicate the solution with others. Present the results.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Explain how asking questions and making observations help a person understand how things work and can be repaired.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Explain how the design process is a purposeful method of planning practical solutions to problems.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Recognize that requirements for a design include such factors as the desired elements and features of a product or system or the limits that are placed on the design.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Show how models are used to communicate and test design ideas and processes.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Describe how design, as a creative planning process, leads to useful products and systems.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Describe how troubleshooting as a problemsolving method may identify the cause of a malfunction in a technological system.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Evaluate the criteria and constraints of a design.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Explore the design process as a collaborative endeavor in which each person in the group presents his or her ideas in an open forum.
Degree of Alignment: Not Rated (0 users)
Science Domain: Technology and Engineering Education
Topic: Technology and Engineering Design
Standard: Analyze how a multidisciplinary (STEM) approach to problem solving will yield greater results.
Degree of Alignment: Not Rated (0 users)
Cluster: Experiment with transformations in the plane
Standard: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Degree of Alignment: Not Rated (0 users)
Cluster: Experiment with transformations in the plane
Standard: Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Degree of Alignment: Not Rated (0 users)
Cluster: Understand congruence in terms of rigid motions
Standard: Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Degree of Alignment: Not Rated (0 users)
Cluster: Understand congruence in terms of rigid motions
Standard: Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Degree of Alignment: Not Rated (0 users)
Cluster: Make geometric constructions
Standard: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
Degree of Alignment: Not Rated (0 users)