1 Multimedia Project Tiffany Padgett Saunders Middle School.

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Multimedia Project

Tiffany Padgett

Saunders Middle School

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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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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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A parallelogram with all sides congruent and all angles congruent.

WIDTH

LENGTH

Area= length · width

5LENGTH

WIDTH

A parallelogram with all angles congruent.

Area= length · width

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A quadrilateral with two pairs of parallel sides.

BASE

HEIGHT

Area= Base · Height

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A polygon* having three sides.

*Polygon: a simple closed figure in a plane formed by three or more line segments.

BASE

HEIGHT Area= 1/2 base · height

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HEIGHT

A

B

A quadrilateral with exactly one pair of parallel lines.

Area= 1/2 · height (a + b)

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The set of all points in a plane that are the same distance from a given point called the

center.

RADIUSArea= πr2

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A prism with rectangles as bases.

length

width

height

Surface Area= 2lw + 2wh + 2lh

Volume= length · width · height

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A prism with triangle bases.

Surface Area= 2(1/2 base · height)* + (bottom)side +(front)side + (back)side

*Multiply by two because you have two triangles

Volume= 1/2 · base · height · length

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A shape in space that has two parallel and congruent circular bases.

Radius

height

Surface Area= πr2 + 2πrh

Volume= πr2h

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Side

radius

A shape in space that has a circular base and one vertex

Surface Area= πr2 + πrs

Volume= 1/3 πr2h

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A figure in space with three or more triangular faces and a base in the

shape of a polygon.

Base/Length

height

Surface Area= Length • Width + 4*(1/2 bh)

Width

*multiply by 4 because you have 4 triangular faces.

Volume=1/3 • L• W • H

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•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.

To hear the directions, click the sound button.

1812 cm

8 cm

Push for the formulas

1.

APush here for the answer

1912 cm

8 cm

Push for the formulas

1.Answer:

A=lw

=12•8

=96 cm

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12 cm

8 cm

Push for the formulas

2.

HEIGHT

15 cm

10 cm

APush here for answer

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12 cm

8 cm

Push for the formulas

2.

HEIGHT

15 cm

10 cm

Answer:

a=1/2(a+b)h

=1/2(12+15)•10

=1/2(27) •10

=1/2(270)

= 135 cm2

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Push for the formulas

3.

6 ft

10 ft

5 ft

14ft

A Click here for the answer

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Push for the formulas

3.

6 ft

10 ft

5 ft

14ft

Answer:

SA=2(1/2 bh)+side+side+side

=2(1/2•6 •14)+10•6+10•5+10•5

=2( 42)+60+50+50

=84+60+50+50

=244 ft2

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5in

3.5 in

4 in

A

Push for formulas

Push for Answers

4.

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5in

3.5 in

4 in

Answer:

V=lwh

=5•3.5•4

=70 in3

4.

27

3 yds

5 yds

Answer:

V=πr2h

=3.14•32•5

=3.14•9•5

=141.3

5.

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Check out this website for interactive fun!!

Courtesy of George Mason University MetaMedia Mathematics Program

PUSH ME!!Beginners

PUSH ME!!Advanced

PUSH ME!!Introduction

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Click HereGeometry Jokes

Fun Site Click Here

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Merrill’s 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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