Scrapbook
Rachelle Leung
Surface Area and Volume (high school Geometry)
6 Informational websites:
http://library.thinkquest.org/20991/geo/solids.html
This webpage lists the formulas (with images and a short description) for the area of prisms, volume of prisms,
pyramids, cylinders, cones, and spheres. There is a quiz at the end but for some reason it wouldn't load on my
computer.
http://math2.org/math/geometry/areasvols.htm
This webpage is a formula list for area, volume, and surface areas. Each formula is accompanied by an image
with appropriate labels.
http://www.purplemath.com/modules/perimetr.htm
The website includes explanations for Geometry word problems like:
- find the volume given the surface area
- real life surface area and composite area
- the box problem (volume)
- the goat problem (composite circle sector area)
http://www.mathsisfun.com/geometry/solid-geometry.html
This website also has pages on polyhedron, platonic solids, prism, pyramids, sphere, torus, cylinder, cone, and
talks about their surface area and volume. This website is colorful with images and some interactive animations.
http://www.pinkmonkey.com/studyguides/subjects/geometry/chap8/g0808101.asp
This website feels like a textbook. It is organized by these sections:
8.1 Introduction to solid geometry
8.2 Prism
8.3 The cuboid and the cube
8.4 Cylinders
8.5 Pyramids
8.6 Right circular cone
8.7 Sphere
http://math.about.com/od/formulas/ss/surfaceareavol.htm
This website gives the surface area & volume formulas for a sphere, cone, cylinder, Rectangular Prism, Square
Based Pyramid, and Isosceles Triangular Prism. It also gives the formulas for the Area of a Circle Sector, Surface
Area of An Elipse, and Length of an Arc.
6 Educational websites + 7 WebQuests:
http://www.mathsnet.net/geometry/solid/index.html
These pages on solid 3D geometry collect together interative Java resources on the Platonic solids, pyramids,
prisms, polyhedra, impossible objects, constructing 3-dimensional shapes, isometric views, etc. I used this
website last year to show front/back/side/top/bottom views of 3D objects.
http://www.learner.org/interactives/geometry/index.html
This website uses images, interactive animations, quick checks, and a test at the end. Its topics include 3D
shapes, surface area & volume, Euler's Theorem, and platonic solids.
http://www.glencoe.com/sec/math/geometry/ca/ca_04/self_check_quiz/index.php/
This textbook website provides self-check quizzes for every lesson. Click on "Chapter 12 - Surface Area and
Volume" to get the links to the quizzes for each lesson.
http://www.onlinemathlearning.com/geometry-math-games.html
Interactive games, including ones for Perimeter, Area and Volume.
http://www.curryk.com/gal.html
Galactic Geometry is a 3D educational game that offers an exciting environment for serious learning about
geometric figures. As obstacles hurtle toward them, players calculate volume and surface area.
http://www.scholarnet.co.nz/member/courses/smol/data/site/flash_apps/Measurement.php
A flash site that goes over finding the volume & surface area of a cube, cuboid, cylinder, cone, and sphere.
There are quick checks where you enter the answer.
http://www.zunal.com/webquest.php?w=66104
This Webquest is designed to help you get a handle on volume. I really like it, bc it explains the process and also
uses real world examples (via Google Map). It also has a rubric and quiz at the end.
http://www.zunal.com/webquest.php?w=58276
Title: It's a Volume Party, but who invited Surface Area?
Description: An exploration into volume and surface are
http://www.zunal.com/webquest.php?w=65909
Title: How Much Water Do We Need?
Description: Students will calculate the amount of water needed to fill all their "tanks" located in their fictitious
home. Afterwards, they will calculate the cost to fill these "tanks".
http://www.zunal.com/webquest.php?w=59613
Title: Surface Area and Volume
Description: MS 4.2 Calculates surface area of rectangular and triangular prisms and volume of right prisms and
cylinders
http://www.zunal.com/webquest.php?w=16346
Title: Planet Contour
Description: In this WebQuest, students will learn about geometric solids, volume, and surface area by
researching and drawing plans for a city with specific solids required. (grades 6-8)
http://www.zunal.com/webquest.php?w=14923
Title: The Environmental Consumer
Description: This webquest challenges students to compare surface area and volume as they apply to real-world
environmental issues.
http://www.zunal.com/webquest.php?w=7686
Title: The Amazing Maths Race
Description: Students will travel around the world on the web and discover different wonders of the world and
examine them mathematically in a race with their fellow classmates.
11 Images with weblink captions:
Figure 1: http://www.mathsisfun.com/geometry/images/pyramid-volume-area.jpg
Figure 2: http://www.freeprintable.com/view/print.html?id=6698
Figure 3: http://www.freeprintable.com/view/print.html?id=6697
Figure 4: http://www.flickr.com/photos/curiouskiwi/89943107/
Figure 5: http://www.flickr.com/photos/vshioshvili/360459575/
Figure 6: http://www.flickr.com/photos/piero/196905919/
Figure 7: http://www.flickr.com/photos/inoneear/24724371/
Figure 8: http://www.flickr.com/photos/nic/112177932/
Figure 9: http://www.flickr.com/photos/ntr23/395821721/
Figure 10: http://www.flickr.com/photos/nathangibbs/275566956/
Figure 11: http://www.flickr.com/photos/kwei/346012339/
7 Activities or Lesson Plans:
http://www.uteach.utexas.edu/PBI/PBI_Projects/Pool_Project_MP.htm
"The Pool Project" models ideas such as three dimensional figures, surface area and volume formulas for irregular
shapes, and their relationships. An introduction, concept map, calendar, rubric, anchor video, parent letter, lesson
plans, and other resources are included.
http://www.uteach.utexas.edu/PBI/PBI_Projects/Coke_machine/PBI%20Final%20Project/Coke.html
"Creating a Vending Machine" is a project where students study and utilize volume, surface area, and coordinate
systems using three dimensional objects. An introduction, anchor video, concept map, project calendar, lesson
plans, letter to parents, and other resources are included.
http://www.thefutureschannel.com/imast/guides_and_other_activities/PDF%20Guides/1007_inventing_w_polygo
ns.pdf
This activity gives complex problems in dimensional change, surface area, and symmetry. The corresponding
movie uses a real-world professional in the field to talk about how math is used in their job.
http://geometry.mrmeyer.com/
This website gives lessons for the entire year in keynote, powerpoint, pdf, and handouts. Week 27 covers
volume.
http://sciencespot.net/Pages/classmetric.html
This webpages gives a presentation, worksheet, and lab over measuring the volume of liquids and regular solids
as well as using graduated cylinders and overflow cans to find the volume of irregular objects (rocks). This would
be a good way to integrate science.
http://www.shodor.org/interactivate/lessons/SurfaceAreaAndVolume/
This website introduces the terminology used with surface area and volume. The interactive animations let
students use scroll bars to adjust the length, width, and height of prisms, as well as the view by rotating the
figure. It may be too basic for high school geometry (more for middle school geometry).
http://www.algebra.com/algebra/homework/Surface-area/Geometry-Surface-Area-and-Volume.lesson
http://www.algebra.com/algebra/homework/Surface-area/Surface-Area-and-Volume.lesson
http://www.algebra.com/algebra/homework/Surface-area/surface-area-of-pyramids-.lesson
This webpage is a multimedia lesson (video that pause to give quick multiple-choice checks) over Surface Area
and Volume. The video includes voice and handwriting.
Sound files, movies clips, etc.:
http://www.math.harvard.edu/~knill/mathmovies/swf/startrek_spock.html
This movie clip from "Star Trek" (2009) shows young Spock learning math, including the formula (4pi/3)r^3 for
the volume of the sphere.