Geometric Solids: Difference between revisions

From Montessori Album
 
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This activity prepares the child for geometry.
This activity prepares the child for geometry.
== Presentations ==
== Presentations ==
=== Introduction to the solids ===
# Select three solids and carry them to a mat or table (these can be carried in a small basket).
#:[[File:Geometric Solids 1.JPG|330px]]
# Name the first solid shape.  Allow the child plenty of time to look at and feel the solid. 
# Present the other two objects in the same way.
# Do a [[Three Period Lesson]].


=== Identification by touch alone ===
=== Identification by touch alone ===
u r bad


===Introduction to the bases ===
===Introduction to the bases ===
wai u like this bruh?


=== Solids with bases ===
=== Solids with bases ===
Line 37: Line 39:
* A triangular based pyramid can also be called a tetrahedron.
* A triangular based pyramid can also be called a tetrahedron.
* An ovoid is smaller at one end (like an egg), an ellipsoid has ends that are the same.
* An ovoid is smaller at one end (like an egg), an ellipsoid has ends that are the same.
* An Ellipsoid is the same shape as that of a rugby ball.


== Material ==
== Material ==
Line 44: Line 47:
This material would be difficult to make on your own without some pretty good woodworking skills.  There are, however, similar, far less expensive sets of geometric solids for sale online that were designed to be used in math classrooms.  These are a bit smaller than the Montessori version.  Neither set has an ovoid, but as the author of [http://homemade-homeschool.blogspot.com/2010/02/opinions-on-geometric-items.html one blog] pointed out, an ovoid might be easy to find in a craft store after Easter.
This material would be difficult to make on your own without some pretty good woodworking skills.  There are, however, similar, far less expensive sets of geometric solids for sale online that were designed to be used in math classrooms.  These are a bit smaller than the Montessori version.  Neither set has an ovoid, but as the author of [http://homemade-homeschool.blogspot.com/2010/02/opinions-on-geometric-items.html one blog] pointed out, an ovoid might be easy to find in a craft store after Easter.


[http://sciencekit.com/product.asp?pn=IG0029277&mr:trackingCode=E5B64EDF-F4A3-DE11-AC14-002219318F67&mr:referralID=NA ScienceKit.com]<br>


===Where to Buy===
'''Geometric Solids Sets'''<br>
[http://www.affordmontessori.com/product_details.asp?productcode=%27SE21A%27 Affordable Montessori] $49.00<br>
[http://www.montessoriresources.com/Blue-Geometry-Solids-without-box-P33C5.aspx Albanesi] $206.00<br>[http://www.alisonsmontessori.com/Natural_Geometric_Solids_p/s65.htm Alison's] $25.00 (unpainted wood)<br>
[https://www.bruinsmontessori.com/itemdetails.php?item_id=16 Bruins] $150.00<br>
[http://www.montessorimaterials.com/products/geometric-solids-blue E & O] $140.00<br>
[http://www.montessorimaterials.com/products/geometric-solids-natural-finish E & O] $140.00<br>
[http://www.etcmontessorionline.com/classic-montessori/hardwood-sensorial/geometric-solids ETC Montessori] $150.00<br>
[http://shop.hellowood.com/Geometric-Solids-Large-Stained-Blue-S18ST.htm Hello Wood] $179.00 (stained blue)<br>
[http://shop.hellowood.com/Geometric-Solids-Large-Painted-Blue-S18PT.htm Hello Wood] $174.00 (painted blue)<br>
[http://shop.hellowood.com/Geometric-Solids-Large-Natural-Finish-S18Nat.htm Hello Wood] $169.00 (unpainted wood)<br>
[http://www.montessoriequipment.com/Geometric-Solids-With-Bases-p/s.022.1.htm IFIT] $45.00<br>
[http://www.jmplearning.com/MP_2061_Geometric_Solids_p/mp-2061.htm Jump Start] $49.95<br>
[http://www.thematerialscompany.com/collections/sensorial/products/geometric-solids-blue Materials Company of Boston] $135.00 (no triangular based pyramid)<br>
[http://www.thematerialscompany.com/collections/sensorial/products/natural-geometric-solids Materials Company of Boston] $138.00 (unpainted wood)(no triangular based pyramid)<br>
[http://www.montessoribuy.com/cartdetails.asp?id=HTS0198 Montessori Buy] $53.45<br>
[http://www.montessoriconcepts.com/products.php?cat=Sensory&num=14 Montessori Concepts] $49.00<br>
[http://www.montessorieducativos.com/Product.asp?Clv=S-030 Montessori Educativos] $80.77 (unpainted wood)<br>
[http://montessori-n-such.com/detail.aspx?ID=1179 Montessori N' Such] $78.00<br>
[http://www.montessorioutlet.com/cgi-bin/item/510300390/5103/Montessori-Outlet-Geometric-Solids-With-Stands- Montessori Outlet] $43.95<br>
[http://www.nienhuis.com/the-geometric-solids-1-2.html Nienhuis] $165.50<br>


'''Geometric Solids with Bases'''<br>
[http://www.aplusmontessori.com/product-p/s.014.1.htm A Plus Montessori] $49.95<br>
[http://www.absorbentmontessorimaterial.com/product_p/s24.htm Absorbent Montessori] $66.00<br>
[http://www.adenamontessori.us/details.php?did=5 Adena] $42.85<br>
[http://www.affordmontessori.com/product_details.asp?productcode=%27SE21B%27 Affordable Montessori] $79.00<br>
[http://www.alisonsmontessori.com/Geometric_Solids_with_Bases_Planes_p/s46.htm Alison's] $60.00<br>
[http://www.alisonsmontessori.com/Geometric_Solids_with_Bases_Planes_p/ps15.htm Alison's] $117.00 (premium)<br>
[http://www.alisonsmontessori.com/Natural_Geometric_Solids_and_Plane_Figures_Premiu_p/ps15.a.htm Alison's] $99.00 (unpainted wood)<br>
[http://www.bayareamontessorimaterials.com/shop/geometric-solids/ Bay Area Montessori] $60.00<br>
[http://www.bayareamontessorimaterials.com/shop/geometric-solids-natural/ Bay Area Montessori] $60.00 (unpainted wood)<br>
[http://www.cabdevmontessori.com/product.php?productid=16800&cat=251&page=3 Cabdev] $179.00<br>
[http://www.montessorimaterials.com/products/geometric-solids-box-bases E & O] $110.00<br>
[http://www.julianagroup.com/index.lasso?page=detail&Category=&SubCategory=Sensorial&NewItem=&Overstock=&Description=&skip=23 Juliana] $119.00<br>
[http://www.kidadvance.com/product.php?pid=7 Kid Advance] $49.99<br>
[http://www.montessorieducativos.com/Product.asp?Clv=S-031 Montessori Educativos] $129.23<br>
[http://www.montessoristores.com/html/new_product_view.asp?type=products&cat_id=1&id=136 Montessori Stores] $150.00<br>
[http://www.montessoristores.com/html/new_product_view.asp?type=products&cat_id=1&id=137 Montessori Stores] $150.00<br>
[https://www.thinkamajigs.com/geometric-solids/ Thinkamajigs] $94.95<br>


'''Plane Figures'''<br>
</div>
[http://www.aplusmontessori.com/product-p/s.014.2.htm A Plus Montessori] $9.45<br>
<div style="clear:both"></div>
[http://www.affordmontessori.com/product_details.asp?productcode=%27SE22%27 Affordable Montessori] $12.00<br>
[http://www.alisonsmontessori.com/Geometric_Solid_Bases_and_Plains_w_Box_p/s68.htm Alison's] $18.00<br>
[http://www.alisonsmontessori.com/product_p/cl150.htm Alison's] $10.00 (no stands)<br>
[http://www.bayareamontessorimaterials.com/shop/geometric-plane-figures-with-box/ Bay Area Montessori] $10.00<br>
[https://www.bruinsmontessori.com/itemdetails.php?item_id=16 Bruins] $27.00<br>
[http://www.cabdevmontessori.com/product.php?productid=16802&cat=251&page=3 Cabdev] $33.00<br>
[http://www.montessorimaterials.com/products/bases-geometric-solids-box E & O] $22.00<br>
[http://www.etcmontessorionline.com/classic-montessori/hardwood-sensorial/geometric-solid-bases ETC Montessori] $27.00<br>
[http://shop.hellowood.com/Bases-for-Geometric-Solids-Stained-Blue-S18BasesST.htm Hello Wood] $32.00(stained blue)<br>
[http://shop.hellowood.com/Bases-for-Geometric-Solids-Painted-Blue-S18BasesPT.htm Hello Wood] $31.00(painted blue)<br>
[http://shop.hellowood.com/Bases-for-Geometric-Solids-Natural-Finish-S18BasesNat.htm Hello Wood] $30.00(unpainted wood)<br>
[http://www.montessoriequipment.com/Geometric-Solids-Bases-with-Box-p/s.022.2.htm IFIT] $9.00<br>
[http://www.jmplearning.com/MP_2062_Geometric_Plane_Figures_with_Box_p/mp-2062.htm Jump Start] $6.95<br>
[http://www.kidadvance.com/product.php?pid=8 Kid Advance] $9.99<br>
[http://www.thematerialscompany.com/collections/sensorial/products/bases-for-geometric-solids-with-box Materials Company of Boston] $26.00<br>
[http://www.montessoribuy.com/cartdetails.asp?id=HTS0198-1 Montessori Buy] $9.58<br>
[http://montessori-n-such.com/detail.aspx?ID=1179 Montessori N' Such] $18.00<br>
[http://www.montessorioutlet.com/cgi-bin/item/510300400/5103/Montessori-Outlet-Geometric-Plane-Figures-With-Box Montessori Outlet] $9.95<br>
[http://www.nienhuis.com/geometric-cards-1-2.html Nienhuis] $25.50 (paper cards)<br>
[http://www.nienhuis.com/geometric-plane-figures-with-box-1-2.htmlNienhuis] $32.50<br>


'''Three Stands for Round Shapes'''<br>
===Where to Buy===
[http://shop.hellowood.com/3-stands-for-large-Geo-solids-S18Stands.htm Hello Wood] $18.00 (painted blue)<br>
[[Category:Where to Buy]]
 
Prices and links checked: 23 January 2022
'''Three-Part Cards'''<br>
<div class="buyGrid">
[http://www.affordmontessori.com/product_details.asp?productcode=%27SE23%27 Affordable Montessori] $29.00<br>
<div class="buyElement">
[http://www.alisonsmontessori.com/Geometric_Solids_Matching_Cards_p/sp.04.htm Alison's] $12.00<br>
{| class="buytable sortable"
[http://www.alisonsmontessori.com/Geometric_Solids_Nomenclature_Cards_3_6_Printed_a_p/s46.pl01.htm Alison's] $19.00 (no triangular prism)<br>
|-
[http://www.alisonsmontessori.com/Geometric_Solids_Nomenclature_Cards_3_6_Printed_p/s46.01.htm Alison's] $9.99 (not laminated)(no triangular prism)<br>
!colspan="2"|Geometric Solids with Plane Figures
 
|-
'''Definition Cards'''<br>
! Store !! Price
[http://www.alisonsmontessori.com/Geometric_Solids_Nomenclature_Cards_6_9_Printed_a_p/s46.pl02.htm Alison's] $22.00 (not cut out)(no triangular prism)<br>
|-
[http://www.alisonsmontessori.com/Geometric_Solids_Nomenclature_Cards_6_9_Printed_p/s46.02.htm Alison's] $15.00 (not laminated)(not cut out)(no triangular prism)<br>
|[https://www.adenamontessori.com/ius/details.php?did=5 Adena]
 
|$65.95
'''Basket'''<br>
|-
[http://www.montessoriresources.com/Basket-for-the-Blue-Geometry-Solids-P34C5.aspx Albanesi] $21.00<br>
|[https://affordmontessori.com/geo-solids-with-3-holders.html Affordable Montessori]
[http://montessori-n-such.com/detail.aspx?ID=3589 Montessori N' Such] $4.75<br>
|$95.00
[http://www.nienhuis.com/geometric-solids-basket-1-2.html Nienhuis] $9.90<br>
|-
|[https://www.alisonsmontessori.com/Geometric_Solids_with_Bases_Planes_p/s46.htm Alison's]
|$66.15
|-
|[https://www.alisonsmontessori.com/Geometric_Solids_with_Bases_Planes_p/ps15.htm Alison's]
|$155.00
|-
|[https://www.alisonsmontessori.com/Natural_Geometric_Solids_and_Plane_Figures_Premiu_p/ps15.a.htm Alison's]<br><span class="comment">natural finish</span>
|$98.17
|-
|[https://usa.montessorimaterials.com/products/geometric-solids E & O]
|$179.10
|-
|[https://www.montessoriequipment.com/IFIT-Montessori-Geometric-Solids-With-Bases-p/sen-026.htm IFIT]
|$64.00
|-
|[https://www.montessoriequipment.com/IFIT-Montessori-Geometric-Solids-With-Bases-p/s.037.1.htm IFIT]
|$45.00
|-
|[https://www.leaderjoyusa.com/Montessori/Montessori%20toys,%20sensorial/geometric-solids-with-stands-base-and-box.html Leader Joy]
|$66.99
|-
|[https://www.leaderjoyusa.com/Montessori/Montessori%20toys,%20sensorial/premium-geometric-solids-with-stands-base-with-box.html Leader Joy]
|$125.35
|-
|[http://www.montessoriconcepts.com/store/p165/GEOMETRIC_SOLIDS_W%2FSTANDS%2C_BASES%2C_CARDS_%26_BOX_%28SE007%29.html Montessori Concepts]
|$90.00
|-
|[https://www.pinkmontessori.com/collections/sensorial-1/products/blue-geometric-solids-with-box Pink Montessori]
|$58.99
|-
|[https://www.thinkamajigs.com/geometric-solids/ Thinkamajigs]
|$99.95
|}
</div>
<div class="buyElement">
{| class="buytable sortable"
|-
!colspan="2"|Geometric Solids (no plane figures)
|-
! Store !! Price
|-
|[https://www.alisonsmontessori.com/Natural_Geometric_Solids_p/s65.htm Alison's]<br><span class="comment">natural finish</span>
|$26.25
|-
|[https://bruinsmontessori.com/products/sensorial/geometric-solids.html Bruins]
|$170.00
|-
|[https://usa.montessorimaterials.com/products/geometric-solids-natural-finish E & O]<br><span class="comment">natural finish</span>
|$206.10
|-
|[https://www.kidadvance.com/geometric-solids-with-stands.html Kid Advance]
|$59.99
|-
|[https://www.leaderjoyusa.com/Montessori/Montessori%20toys,%20sensorial/geometric-solids-bases-with-box.html Leader Joy]
|$18.95
|-
|[https://www.thematerialscompany.com/collections/sensorial/products/geometric-solids-blue Materials Co. of Boston]<br><span class="comment">no triangular based pyramid</span>
|$115.00
|-
|[https://www.montessori-n-such.com/collections/all/products/montessori-blue-geometric-solids-set11-item-s5362 Montessori n Such]
|$78.00
|-
|[https://montessorioutlet.com/authentic-montessori/sensorial/geometric-solids-with-stands.html Montessori Outlet]
|$52.95
|-
|[https://www.nienhuis.com/us/en/the-geometric-solids-nienhuis-montessori-usa/product/4890/ Nienhuis]
|$169.90
|}
</div>
<div class="buyElement">
{| class="buytable sortable"
|-
!colspan="2"|Plane Figures
|-
! Store !! Price
|-
|[https://www.affordmontessori.com/index.php/montessori-material/sensorial/bases-for-geosolids-in-a-box.html Affordable Montessori]
|$12.00
|-
|[https://www.alisonsmontessori.com/Geometric_Solid_Bases_and_Plains_w_Box_p/s68.htm Alison's]
|$18.90
|-
|[https://bruinsmontessori.com/products/sensorial/geometric-solid-bases-with-box.html Bruins]
|$30.00
|-
|[https://usa.montessorimaterials.com/products/bases-geometric-solids-box E & O]
|$19.80
|-
|[https://www.kidadvance.com/geometric-solids-bases-with-box.html Kid Advance]
|$12.99
|-
|[https://www.thematerialscompany.com/collections/sensorial/products/bases-for-geometric-solids-with-box Materials Co. of Boston]
|$22.00
|-
|[http://www.montessoriconcepts.com/store/p168/PLANE_FIGURES_W%2FBOX_%28SE008%29.html Montessori Concepts]
|$14.00
|-
|[https://www.montessori-n-such.com/collections/all/products/bases-and-box-for-geometric-solids-item-s5363 Montessori n Such]
|$24.95
|-
|[https://montessorioutlet.com/authentic-montessori/sensorial/geometric-plane-figures-with-box.html Montessori Outlet]
|$14.95
|-
|[https://www.nienhuis.com/us/en/geometric-plane-figures-with-box-nienhuis-montessori-usa/product/4104/ Nienhuis]
|$35.10
|-
|[https://www.pinkmontessori.com/collections/sensorial-1/products/geometric-solids-bases Pink Montessori]
|$4.99
|-
|[https://www.pinkmontessori.com/collections/sensorial-1/products/geometric-solids-bases-with-box Pink Montessori]
|$9.00
|}
</div>
<div class="buyElement">
{| class="buytable sortable"
|-
!colspan="2"|Basket
|-
! Store !! Price
|-
|[https://www.kidadvance.com/big-woven-basket-a.html Kid Advance]
|$12.59
|-
|[https://www.nienhuis.com/us/en/geometric-solids-basket-nienhuis-montessori-usa/product/4473/ Nienhuis]
|$13.50
|}
</div>
<div class="buyElement">
{| class="buytable sortable"
|-
!colspan="2"|Three-Part Cards
|-
! Store !! Price
|-
|[https://www.affordmontessori.com/index.php/montessori-material/sensorial/three-part-cards-geometric-solids.html Affordable Montessori]
|$16.00
|-
|[https://www.alisonsmontessori.com/Geometric_Solids_Nomenclature_Cards_3_6_Printed_a_p/s46.pl01.htm Alison's]<br><span class="comment">no triangular prism</span>
|$17.00
|-
|[https://www.alisonsmontessori.com/Geometric_Solids_Nomenclature_Cards_3_6_Printed_p/s46.01.htm Alison's]<br><span class="comment">not laminated</span>
|$11.99
|-
|[https://etcmontessorionline.com/geometric-solids-3-part-cards/ ETC Montessori]
|$20.00
|}
</div>
<div class="buyElement">
{| class="buytable sortable"
|-
!colspan="2"|Definition Cards
|-
! Store !! Price
|-
|[https://www.alisonsmontessori.com/Geometric_Solids_Nomenclature_Cards_6_9_Printed_a_p/s46.pl02.htm Alison's]<br><span class="comment">not cut out, no triangular prism</span>
|$22.00
|-
|[https://www.alisonsmontessori.com/Geometric_Solids_Nomenclature_Cards_6_9_Printed_p/s46.02.htm Alison's]<br><span class="comment">not laminated, not cut out</span>
|$15.99
|}
</div>
<div class="buyElement">
{| class="buytable sortable"
|-
!colspan="2"|Three Stands for Round Shapes
|-
! Store !! Price
|}
</div>
</div>


'''Box'''<br>
==Further Reading==
[http://www.montessoriresources.com/Box-for-the-Blue-Geometry-Solids-P35C5.aspx Albanesi] $23.00<br>
*[[Basic Montessori: Learning Activities for Under-fives]] by David Gettman, page 110-115


'''Non-Montessori Geometric Solid Sets'''<br>
{{#seo:
[http://montessori-n-such.com/detail.aspx?ID=1180 Montessori N' Such] $24.94<br>
|title=Geometric Solids
|title_mode=replace
|keywords=Geometric Solids lessons,Montessori Album,Visual Discrimination of Form,sensorial
|description=This activity teaches the child 3-dimensional geometric shapes and their names, preparing them for geometry.
|published_time={{REVISIONYEAR}}-{{REVISIONMONTH}}-{{REVISIONDAY2}}
}}

Latest revision as of 11:24, 29 January 2022

Geometric Solids
Sensorial - Visual Discrimination of Form
Geometric Solids.jpg
LevelPrimary
Age3.5 - 6
Prerequisitesdiscrimination of form
Pink Tower
Knobbed Cylinders
Broad Stair
MaterialsTen geometric solids:
sphere
cube
cone
cylinder
ovoid
ellipsoid
rectangular prism
triangular prism
square based pyramid
triangular based pyramid

Use of this material makes the child familiar with 3 dimensional geometric shapes and teaches their names. This activity prepares the child for geometry.

Presentations

Introduction to the solids

  1. Select three solids and carry them to a mat or table (these can be carried in a small basket).
    Geometric Solids 1.JPG
  2. Name the first solid shape. Allow the child plenty of time to look at and feel the solid.
  3. Present the other two objects in the same way.
  4. Do a Three Period Lesson.

Identification by touch alone

Introduction to the bases

Solids with bases

Points of Interest

Control of Error

Variations and Extensions

  • Take one solid out at a time.
  • Let the child make the shapes with blue clay.
  • Have the child look for objects from the environment that are examples of each shape.
    Geometric Solids household objects.JPG

Language

  • A triangular based pyramid can also be called a tetrahedron.
  • An ovoid is smaller at one end (like an egg), an ellipsoid has ends that are the same.
  • An Ellipsoid is the same shape as that of a rugby ball.

Material

Geometric Solids labels.jpg

The triangular based pyramid can also be called a tetrahedron. The difference between the ovoid and the ellipsoid is that the ovoid is smaller at one end like an egg.

Make Your Own

This material would be difficult to make on your own without some pretty good woodworking skills. There are, however, similar, far less expensive sets of geometric solids for sale online that were designed to be used in math classrooms. These are a bit smaller than the Montessori version. Neither set has an ovoid, but as the author of one blog pointed out, an ovoid might be easy to find in a craft store after Easter.



Where to Buy

Prices and links checked: 23 January 2022

Geometric Solids with Plane Figures
Store Price
Adena $65.95
Affordable Montessori $95.00
Alison's $66.15
Alison's $155.00
Alison's
natural finish
$98.17
E & O $179.10
IFIT $64.00
IFIT $45.00
Leader Joy $66.99
Leader Joy $125.35
Montessori Concepts $90.00
Pink Montessori $58.99
Thinkamajigs $99.95
Geometric Solids (no plane figures)
Store Price
Alison's
natural finish
$26.25
Bruins $170.00
E & O
natural finish
$206.10
Kid Advance $59.99
Leader Joy $18.95
Materials Co. of Boston
no triangular based pyramid
$115.00
Montessori n Such $78.00
Montessori Outlet $52.95
Nienhuis $169.90
Plane Figures
Store Price
Affordable Montessori $12.00
Alison's $18.90
Bruins $30.00
E & O $19.80
Kid Advance $12.99
Materials Co. of Boston $22.00
Montessori Concepts $14.00
Montessori n Such $24.95
Montessori Outlet $14.95
Nienhuis $35.10
Pink Montessori $4.99
Pink Montessori $9.00
Basket
Store Price
Kid Advance $12.59
Nienhuis $13.50
Three-Part Cards
Store Price
Affordable Montessori $16.00
Alison's
no triangular prism
$17.00
Alison's
not laminated
$11.99
ETC Montessori $20.00
Definition Cards
Store Price
Alison's
not cut out, no triangular prism
$22.00
Alison's
not laminated, not cut out
$15.99
Three Stands for Round Shapes
Store Price

Further Reading