presented by colleen eddy, courtney owen, and claire mccasland identifying solids using nets...

Presented by Colleen Eddy, CourtnPresented by Colleen Eddy, Courtney Owen, and Claire McCaslandey Owen, and Claire McCasland

Identifying Solids Identifying Solids using Netsusing NetsPresented April 28, 2006Presented April 28, 2006

NCTM 2006 Annual Meeting and NCTM 2006 Annual Meeting and ExpositionExposition


Form the solids and find their places. Form the solids and find their places.

How many How many edgesedges, , pointspoints, and , and facesfaces? ?

The shapes that make two will pass The shapes that make two will pass the test,the test,

But one that does not must be your But one that does not must be your quest.quest.

Three times as tall as its Three times as tall as its basebase is wide, is wide,

The true King’s future lies inside.The true King’s future lies inside.

Neuschwander, C. (2003) Sir Cumference and the Sword in the Cone. New York: Scholastic Inc. p.5.


What is an Edge?What is an Edge?

An edge is where two An edge is where two faces meet.faces meet.


What is a vertex?What is a vertex?

A vertex, or point, is A vertex, or point, is where edges meet.where edges meet.


What is a Face?What is a Face?

A flat surface of a A flat surface of a solidsolid

is called a face.is called a face.


What is a base?What is a base?

The base is the The base is the bottombottom

face of a geometricface of a geometric

solid.solid.

The base of the The base of the square square

pyramid is highlighted pyramid is highlighted

in green.in green.


ShapeShape Flat Flat FacesFaces

VerticVerticeses

Straight Straight EdgesEdges

CubeCube

Square Square PyramidPyramid

RectangulRectangular Prismar Prism

Triangular Triangular PrismPrism



VerticVerticeses


CubeCube 66 88 1212

Square Square PyramidPyramid





VerticVerticeses


CubeCube 66 88 1212

Square Square PyramidPyramid 55 55 88





VerticVerticeses


CubeCube 66 88 1212


RectangulRectangular Prismar Prism 66 88 1212




VerticVerticeses


CubeCube 66 88 1212



Triangular Triangular PrismPrism 55 66 99


How can you get the How can you get the number 2 using the number 2 using the

number of faces, number of faces, vertices and edges on vertices and edges on

the chart?the chart?

Write some ideas down on Write some ideas down on your paper for possibilities of your paper for possibilities of

having a total of 2.having a total of 2.(hint: add faces and vertices together first!)(hint: add faces and vertices together first!)



VerticVerticeses


Faces Faces + +

VerticeVerticess

CubeCube 66 88 1212 1414






VerticVerticeses


Faces Faces + +

VerticeVerticess

CubeCube 66 88 1212 1414

Square Square PyramidPyramid 55 55 88 1010





VerticVerticeses


Faces Faces + +

VerticeVerticess

CubeCube 66 88 1212 1414


RectangulRectangular Prismar Prism 66 88 1212 1414




VerticVerticeses


Faces Faces + +

VerticeVerticess

CubeCube 66 88 1212 1414



Triangular Triangular PrismPrism 55 66 99 1111


““The shapes that make two will pass the test,The shapes that make two will pass the test,

But one that does not must be your quest.”But one that does not must be your quest.”

What can you do to get “2” from the “Faces + Vertices” column?

(hint: subtract 2)

Neuschwander, C. (2003) Sir Cumference and the Sword in the Cone. New York: Scholastic Inc. p.13



VerticVerticeses


Faces Faces + +

VerticeVerticess

Faces + Faces + Vertices – Vertices –

EdgesEdges

CubeCube 66 88 1212 1414

PyramiPyramidd 55 55 88 1010


Triangular Triangular PrismPrism 55 66 99 1111



VerticVerticeses


Faces Faces + +

VerticeVerticess

Faces + Faces + Vertices – Vertices –

EdgesEdges

CubeCube 66 88 1212 1414 22

PyramiPyramidd 55 55 88 1010 22

RectangulRectangular Prismar Prism 66 88 1212 1414 22

Triangular Triangular PrismPrism 55 66 99 1111 22


““Three times as tall asThree times as tall as

its base is wide”its base is wide”

If the base of the cone is If the base of the cone is 14 inches across, what 14 inches across, what will the height of the will the height of the

cone be?cone be?

14 in. X 3 = ??14 in. X 3 = ??

14 in. X 3 = 42 in.14 in. X 3 = 42 in.

Neuschwander, C. (2003) Sir Cumference and the Sword in the Cone. New York: Scholastic Inc. p.5.


Is 47 inches Is 47 inches too tall or too tall or too short?too short?

It is too tall!It is too tall!


If the Edgecalibur is If the Edgecalibur is about 48 inches tall, about 48 inches tall,

how wide will the base how wide will the base of the cone be?of the cone be?

48 inches ÷ 3 = ??48 inches ÷ 3 = ??

16 inches16 inches


51 inches tall, 17 inches 51 inches tall, 17 inches widewide

Is the cone tall enough for Is the cone tall enough for Edgecalibur?Edgecalibur?

Let’s see...Let’s see...

presented by colleen eddy, courtney owen, and claire mccasland identifying solids using nets...

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