Multimedia Project

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Fun with Geometry and Measurement
Tiffany Padgett Saunders Middle School
Multimedia Project
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Virginia Standards of Learning

• 8.8 The student will investigate and solve
  problems involving volume and surface area of
  cones and pyramids, using concrete materials and
  practical situations.
• 8.10 The student will describe, classify, and
  construct plane figures and solid figures,
  including prisms, pyramids, cylinders, and cones.
• 7.9 The student will investigate and solve
  problems involving the volume and surface area of
  a rectangular prisms and cylinders, using
  concrete materials and practical situations to
  develop formulas.

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Purpose
The purpose of the presentation is to provide
middle school students with an interactive way to
learn how to solve problems involving area,
surface area, and volume.
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SQUARE
A parallelogram with all sides congruent and all
angles congruent.
Area length width
WIDTH
LENGTH
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Rectangle
A parallelogram with all angles congruent.
Area length width
WIDTH
LENGTH
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Parallelogram
A quadrilateral with two pairs of parallel sides.
Area Base Height
HEIGHT
BASE
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Triangle
A polygon having three sides.
Area 1/2 base height
HEIGHT
BASE
Polygon a simple closed figure in a plane
formed by three or more line segments.
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Trapezoid
A quadrilateral with exactly one pair of parallel
lines.
Area 1/2 height (a b)
B
HEIGHT
A
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Circle
The set of all points in a plane that are the
same distance from a given point called the
center.
Area pr2
RADIUS
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Rectangular Prism
A prism with rectangles as bases.
Surface Area 2lw 2wh 2lh
Volume length width height
height
width
length
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Triangular Prism
A prism with triangle bases.
Surface Area 2(1/2 base height)
(bottom)side (front)side (back)side
Volume 1/2 base height length
Multiply by two because you have two triangles
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Cylinder
A shape in space that has two parallel and
congruent circular bases.
Surface Area pr2 2prh
Volume pr2h
Radius
height
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Cones
A shape in space that has a circular base and one
vertex
Surface Area pr2 prs
Volume 1/3 pr2h
Side
radius
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Pyramid
A figure in space with three or more triangular
faces and a base in the shape of a polygon.
Surface Area Length Width 4(1/2 bh)
Volume1/3 L W H
multiply by 4 because you have 4 triangular
faces.
height
Width
Base/Length
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Now Let's Try
Some Practice Problems !!!
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Directions
To hear the directions, click the sound button.

• On a separate piece of paper, work out problems
  1-5.
• If you forget the formulas, click on the button
  with an I in the middle and it will give you
  the list of formulas.
• Once finished, click on the button with the A
  in the center for the correct answer.
• Click on any part of the screen to go to the next
  problem.

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Push to return to practice problems
1.
2.
3.
4.
5.
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Find the Area...
Push for the formulas
1.
8 cm
Push here for the answer
A
12 cm
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Find the Area...
Push for the formulas
Answer Alw 128 96 cm
1.
8 cm
12 cm
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Find the Area...
Push for the formulas
15 cm
2.
Push here for answer
A
HEIGHT
8 cm
12 cm
10 cm
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Find the Area...
Push for the formulas
15 cm
2.
Answer a1/2(ab)h 1/2(1215)10 1/2(27)
10 1/2(270) 135 cm2
HEIGHT
8 cm
12 cm
10 cm
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Find the Surface Area...
Push for the formulas
A
Click here for the answer
3.
5 ft
14ft
10 ft
6 ft
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Find the Surface Area...
Push for the formulas
3.
5 ft
Answer SA2(1/2 bh)sidesideside 2(1/26
14)106105105 2( 42)605050
84605050 244 ft2
14ft
10 ft
6 ft
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Find the Volume...
Push for formulas
4.
A
Push for Answers
4 in
3.5 in
5in
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Find the Volume...
4.
Answer Vlwh 53.54 70 in3
4 in
3.5 in
5in
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Find the Volume...
Push for formulas
Push here for the answer
A
5.
3 yds
5 yds
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Find the Volume...
5.
3 yds
Answer Vpr2h 3.14325 3.1495
141.3
5 yds
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Ready for some more practice????
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Check out this website for interactive
fun!! Courtesy of George Mason University
MetaMedia Mathematics Program
PUSH ME!!
Introduction
PUSH ME!!
Beginners

Advanced
PUSH ME!!
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Still Want More???
Check out these sites!!
Click Here
Geometry Jokes
Fun Site
Click Here
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Additional Activities

• Merrills Pre-Algebra Book Chapter 13 Measuring
  Area and Volume
• Practice Problems in the Book
• Practice Worksheets
• Other Activities
• Students can draw and color pictures using 15
  different geometric shapes.
• Students can create paper nets of different
  figures for a more concrete representation of
  shapes.
• Students can make a slit book of all formulas and
  pictures of the geometric shapes.

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THE END