QUESTION: DID YOU KNOW THAT YOU NEED GEOMETRY TO BUILD A
CITY?
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INTRODUCTION Look around youGeometry is EVERYWHERE! The houses
we live in, the buildings we learn and work in, the cars we drive
All were designed and built using Geometry. An understanding of
Geometry and basic Geometric principles is an essential skill, not
just in Math class, but in real life. On the fifth grade level,
basic Geometry skills include identifying and classifying angles
and polygons, measurement, and calculating perimeter and area. The
purpose of this Webquest is to practice and master these basic
Geometry skills and apply them to the construction of a prototype
city skyline. This Webquest has been designed for fifth grade
students and meets the Geometry standards of New York State and the
ISTE national technology standards.
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CAN YOU SPOT THE POLYGONS?
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STUDENT PAGE: PROCESS In your group, choose the role in which
you wish to become an expert: Researcher Designer Architect
Engineer 1)Begin your online research. Explore links to your area
of expertise. 2)Practice the online games to sharpen your Geometry
skills and help you to become an expert. 3)Create a Power Point,
Google SketchUp, or Paint presentation on your area of expertise.
4)Collaborate on the scaled Construction Drawings for the 3-D City
Skyline. 5)Identify, classify, and calculate perimeter, area, and
angle measurements of all polygons. 6)Publish final project in a
PowerPoint presentation. 7)Present to class on Smartboard.
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TASK: TO BUILD A CITY PROTOTYPE Working in groups of four,
students will design and construct a scaled 3-D elevation of a city
skyline. Each group member will assume one of the following roles:
1)The Designer: will sketch the preliminary drawings of the
proposed city in the Paint computer program. Include interior floor
plans.Paint 2)The Researcher: will conduct an online search of five
familiar city skylines, report on the history of each, and
highlight areas for improvement.skylines 3)The Architect: will
construct structural drawings in the Google SketchUp program,
applying basic architectural principles to design sketches.Google
SketchUp 4)The Engineer: will identify and classify polygons, and
measure and calculate perimeter, area, and angles for all polygons
to be used in the city prototype.polygons
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TEACHERS PAGE This Webquest is designed to be a culminating
project for the fifth grade Geometry unit. Project should be
collaborative, worked on in both Math and Technology classes.
Project should be completed over the course of 5-7 class periods.
Prerequisites: Students will have mastered basic measurement skills
using a ruler and protractor. Students will be able to identify and
classify polygons. Students will be able to construct and measure
angles in degrees. Students will be able to find the perimeter and
area of given polygons. Students will be able to design drawings in
Paint and Google SketchUp, and create a PowerPoint presentation of
a city skyline.
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TEACHERS ISTE Technology Standards for students:
http://www.iste.org/standards/nets-for-students.aspx
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NEW YORK STATE STANDARDS : MATH 5
http://www.p12.nysed.gov/ciai/mst/math/standards/revisedg5.html
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NEW YORK STATE GEOMETRY STANDARDS 5.G.1Calculate the perimeter
of regular and irregular polygons Students will identify and
justify geometric relationships, formally and informally. Geometric
Relationships 5.G.2Identify pairs of similar triangles
5.G.3Identify the ratio of corresponding sides of similar triangles
5.G.4Classify quadrilaterals by properties of their angles and
sides 5.G.5Know that the sum of the interior angles of a
quadrilateral is 360 degrees 5.G.6Classify triangles by properties
of their angles and sides 5.G.7Know that the sum of the interior
angles of a triangle is 180 degrees 5.G.8Find a missing angle when
given two angles of a triangle 5.G.9Identify pairs of congruent
triangles 5.G.10Identify corresponding parts of congruent
triangles
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PARENT PAGE Enrichment Resources for Parents, Families, and
Groups. http://www.archikids.org/links.html
http://www.arch.pitt.edu/opportunities/field-trips.php
http://caf.architecture.org/page.aspx?pid=422
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GOOGLE SKETCHUP
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THE ARCHITECT Google SketchUp:
http://sketchup.google.com/download/gsu.htmlhttp://sketchup.google.com/download/gsu.html
Google SketchUp is a 3-dimensional drawing and modeling software
program that allows the user to create architectural drawings to
scale and render profiles and cross- sections of the drawing. 1)
Download the free version of Google SketchUp to get started.Google
SketchUp 2) Install the program by double-clicking on the file
name. 3) Open Google SketchUp and the main drawing board will
appear on the screen. 4) Watch the animated tutorial. 5) Open
program and begin to draw using the pencil tool. 6) Click on paint
bucket to add color. 7) Be sure to save your work.
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THE DESIGNER Process: Sketch a preliminary design for a 21 st
century city skyline. Use Paint computer program.Paint Collaborate
with The Researcher on findings of existing city skylines and
identify areas for improvement. Revise design drawings.
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THE RESEARCHER
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GEOMETRY: MAKE YOUR OWN SHAPE
http://www.mathplayground.com/geoboard.html
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GEOMETRY WORD PROBLEMS
http://www.mathplayground.com/wpdatabase/Geometry1_1.htm
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GEOMETRY: DESIGN A FLOOR PLAN
http://www.mathplayground.com/PartyDesigner/PartyDesigner.html
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GEOMETRY: IF THE SHAPE FITS
http://www.mathplayground.com/buildingblocks.html
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EVALUATION RUBRIC: Research partly conducted 1 Research mostly
conducted 2 Research extensively conducted 3 10 or less PowerPoint
slides 1 11-15 PowerPoint slides 2 16 or more PowerPoint slides 3
Preliminary Design Drawings 1 Revised Design Drawings 2 Final
Construction Drawings 3 Measurements evident 1 Measurements
accurate 2 Measurements extensive and accurate 3 Somewhat Creative,
but similar to existing 1 Creative, some novel elements, Resembles
existing 2 Creative, mostly novel, does not resemble existing 3
Points Awarded
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RESOURCES SCHOOLYARDS TO SKYSCRAPERS
HTTP://CAF.ARCHITECTURE.ORG/PAGE.ASPX?PID=406 THE GREAT BUILDINGS
COLLECTION: HTTP://WWW.GREATBUILDINGS.COM/
HTTP://WWW.GREATBUILDINGS.COM/ GOOGLE SKETCHUP:
HTTP://SKETCHUP.GOOGLE.COM/DOWNLOAD/GSU.HTML THE GREAT BUILDINGS
COLLECTION: HTTP://WWW.GREATBUILDINGS.COM/
HTTP://WWW.GREATBUILDINGS.COM/ TECHNOLOGY STANDARDS FOR STUDENTS:
HTTP://WWW.ISTE.ORG/STANDARDS/NETS-FOR-STUDENTS/NETS-
STUDENT-STANDARDS-2007.ASPX
