Webquest
edited
Top Geometry
Geometry Webquest
{pyramids.jpg} ... Pyramid Webquest
Click on one of the f…
Top Geometry
Geometry Webquest
{pyramids.jpg}
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Pyramid Webquest
Click on one of the following to jump to that section:
Introduction
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Illinois Learning Standards
References
Introduction Introduction
Introduction
As evident from this video, there are many mysteries revolving the Great Pyramids. Generations have been fascinated by these pyramids and studied them immensely. Yet, there are still unanswered questions. Mathematicians are working to solve some of the mysteries using mathematics. You and your group will act as a researcher of the Great Pyramids and use mathematical analysis to solve some questions!
Modifications Modifications
Modifications
This webquest had been modified from the original in many ways to better facilitate increased comprehension and task completion.
1. The tasks have been presented in much more detail, making it a step by step activity instead of an open ended one.
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6. Examples and hints have been provided in the worksheet to guide students in their mathematical analysis.
7. The Webquest in general has been made more visual rather than text based. This was done by incorportating more images as well as video.
Advance Organizer Advance
Advance Organizer
You are to become an mathematical expert about the Great Pyramid, the Khafre Pyramid and the Menkaure Pyramid.
1. Research the topic: Learn about the pyramids to get an understanding of why they are so facinating.
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e. Any interesting facts you found in your research
Use this worksheet to help you stay organized in your research and to find some hints for how to do this activity: {Geometry Webquest Worksheet.doc}
Graphic Organizer Graphic
Graphic Organizer
Use the following to help you visualize exactly what you need to do for this activity.
Start at the smiley face!
{graphic_organizer.png}
Questions Q&A
Q&A
Here is a partial outline of the questions for your webquest task to help you get started.
Area Questions
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7. The lateral area of the Khafre Pyramid is:
8. The lateral area of the Menkaure Pyramid is:
Websites Websites
Websites
Use the following websites to help you in your research!
Measurements
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PBS Explore
Another fun and interactive site to explore. This site focuses on the three pyramids you are studying and can educate you about their facts. Information includes a brief history, dates, some measurements and construction details.
Vocabulary List Vocabulary
Vocabulary List
Area [air-ee-uh]
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two-dimensional extent.
Face [feys]
Geometry: any of the bounding surfaces of a solid figure: a cube has six faces.
Lateral Area [lat-er-uh {http://sp.ask.com/dictstatic/dictionary/graphics/luna/thinsp.png} l air-ee-uh ]
The surface area of a 3D figure excluding the area of any bases.
Pyramid [pir-uh-mid]
Geometry: A solid having a polygonal base, and triangular sides that meet in a point.
Ratio [rey-shoh, -shee-oh]
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Volume [vol-yoom]
The amount of space, measured in cubic units, that an object or substance occupies.
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Learning Standards Illinois
Illinois Learning Standards
This Webquest activity is intended for secondary geometry students. This project incorporates the use of technology by having students use the Internet to get resources and by having them present their findings using a computer program such as Powerpoint. In this Webquest they will work in teams and also develop communication skills by presenting their findings to the class.
In addition, this activity meets the following ISBE standards:
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Standard used when students build the scale models of the pyramids.
9.D.4 Analyze and solve problems involving triangles using trigonometric ratios.
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the pyramids.
References References
References
References
Dictionary.com. Retrieved Nov. 10, 2009, from http://dictionary.reference.com/.
Great Pyramid of Giza. Retrieved Nov. 10, 2009, from http://en.wikipedia.org/wiki/Great_pyramid
Algebra
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Top Everything
Everything Algebra
{algebra_chalkboard-thumb-473x313.jpg}
Click on one of t…
Top Everything
Everything Algebra
{algebra_chalkboard-thumb-473x313.jpg}
Click on one of the following to jump to that section:
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Algebra Songs
Additional Resources
ClassResources Class
Class Resources
Please take advantage of this page to help you be successful in our class!
Calendar
outside of school? WRONG!school?WRONG!
Math is all around you!
Algebra, especially, is used in many everyday occurrences.
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x = .72
You have to get a 72% or higher to get a B in the class!
Lessons Lesson
Lesson of the
{foil.jpg}
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learning to FOIL! ButFOIL!But no, not
We have already learned the distributive process dealing with a single variable times a binomials - now we extend that concept to multiplying two binomials.
When you have to multiply two binomials together you FOIL!
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Previous Lessons
Parabolas: The following notebook introduces the basic concepts of graphing and interpreting changes in parabolas {Parabolas.notebook}
AlgebraSongs Algebra Songs to
Algebra Songsto help you
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Slope Song SlopeSlope it's the
As the line moves from left to right, the positive slopes go up and the negative slopes go down.
Y2-Y1 goes in the numerator, X2-X1 is the denominator.
Quadratic Formula Song
{formula.GIF}
AdditionalResources Additional
Additional Resources
The following links provide more references to further your learning!
**Illuminations**
**Math
**Math is Fun**
**Purple Math**
Top of Page
Geometry
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... Check your answers by selecting the blank space after the question.
1. This triangle has angl…
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Check your answers by selecting the blank space after the question.
1. This triangle has angles of 23º, 90º and 67º: Right triangle
2. This triangle has side lengths 7, 9 and 11º: Scalene triangle
3. This triangle
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Acute triangle
3.
4. This triangle has side lengths of 12, 6 and 12: Isosceles triangle
5. This triangle
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and 35º: ObtuseObtuse triangle
6. This triangle has angles of 60º, 60º and 60º: Equilateral triangle
Webquest Webquest
{pyramids_clipart.gif}
Geometry
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... *One of the angles of the triangle is greater than 90º (obtuse)
*The longest side is opposite…
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*One of the angles of the triangle is greater than 90º (obtuse)
*The longest side is opposite the largest angle
LET'S TRY IT!
Using the given information, decide what type of triangle is described.
Check your answers by selecting the blank space after the question.
1. This triangle has angles of 23º, 90º and 67º: Right triangle
2. This triangle has angles of 59º, 66º and 55º: Acute triangle
3. This triangle has angles of 45º, 100º and 35º: Obtuse triangle
Webquest Webquest
{pyramids_clipart.gif}
Geometry
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... EQUILATERAL
{geopict17.gif}
all All sides are
ISOSCELES
{geopict18.gif}
*two *Two …
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EQUILATERAL
{geopict17.gif} allAll sides are
ISOSCELES
{geopict18.gif} *two*Two sides are equal
*angles
*Angles opposite the
SCALENE
{scalenetriangle.png} *no*No sides are equal
*all
*All angles are
ACUTE-ANGLED
{geopict20.gif} allAll angles are
RIGHT-ANGLED
{geopict21.gif} oneOne of the
OBTUSE-ANGLED
{geopict22.gif} *one*One of the
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90º (obtuse)
*the
*The longest side
Webquest Webquest
{pyramids_clipart.gif}
Geometry
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... Click here to begin activity!
Lessons Lesson of the Week
Triangles: http://www.staff.vu.edu…
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Click here to begin activity!
Lessons Lesson of the Week Triangles: http://www.staff.vu.edu.au/mcaonline/units/geometry/triangles.htmlTriangles
Triangles are plane shapes which lie in one plane.
They have area but not volume.
Shapes that have only straight sides are called polygons.
Triangles are polygons.
The sum of the angles in any triangle is 180º.
{geopict16.gif}
Angle A + Angle B + Angle C = 180°
EQUILATERAL
{geopict17.gif}
all sides are equal and all angles are equal to 60º
ISOSCELES
{geopict18.gif}
*two sides are equal
*angles opposite the equal sides are equal
SCALENE
{scalenetriangle.png}
*no sides are equal
*all angles are different
ACUTE-ANGLED
{geopict20.gif}
all angles are less than 90º(acute)
RIGHT-ANGLED
{geopict21.gif}
one of the three angles of the triangle is a right-angle (90º)----
OBTUSE-ANGLED
{geopict22.gif}
*one of the angles of the triangle is greater than 90º(obtuse)
*the longest side is opposite the largest angle
Webquest Webquest
{pyramids_clipart.gif}