Well, I was talked into it. I finally put together a price list using IFIT and Alison's Montessori.
Caveats:
 These prices are based on full price, not sale price and assume you are making the list amount possible, buying everything new that you possibly can, and have no access to discounted used materials (and you don't want to call any nearby Montessori schools and ask about picking up any of their old materials).
 In other words, this is the MOST you could possibly pay.
 Prices do not include shipping (which could be free)
 Neither IFIT nor Alison's carries everything listed in the Keys of the Universe albums, but between the two of them, everything is offered.
 Exception: I could not find the fractions charts or the Story of Numbers charts  however both of these are available at Keys of the Universe online support (discussion community) or Garden of Francis.
 The prices are awful on some items, which is your encouragement to make a bit more yourself! (wooden hierarchical material comes to mind!)
 There are some things that still need to be handmade  either they are offered with the KotU online support (discussion community), will be soon, are offered at Garden of Francis, or are very easy to make from the album writeups.
 Some things transition UP from Primary (ages 36)  there is a chart in the file regarding which items you may have already purchased/created that can be deducted from the main chart.
 Most items can be resold when you are done (after going through ALL your children!) for at least half their original cost, sometimes closer to 80%.
 All materials are for multiple children  these are not onetime uses.
Montessori Elementary Mathematics Materials List  click there to download the pdf file showing the entire materials list as well as comparison chart.
Here are the contents in even less pretty format ;)
Here are the contents in even less pretty format ;)
Keys
of the Universe
Mathematics
 Materials Price List
Caveats: This is not entirely a complete comparison, because both
companies do not sell all the same materials. And you might purchase the least
expensive of any given option at each one of them. I also have not calculated
if you bought all available at one and filled in with the other. Consider this:
some of this you will find cheaper used; or you can indeed make it yourself.
Alison

IFIT

Keys/other


I. Introduction


Story of Numbers

8 Charts

Printable


II. Early Work  Numeration


Wooden
Hierarchical Material
Large
Bead Frame: Introduction
Exercises IIV
Commutative
& Distributive Laws
Multiples
Least
Common Multiples
Factors
Last
Steps of LCM to Abstraction
Divisibility:
by 2, 5, 25

wood materials
number cards
large bead frame
frame paper
decanomial bead bar box
number box**
bead cabinet
arrows in boxes
Tables A, B, C, E
pegboard & pegs
thin strips of cardstock
golden beads

350

20.00
85.00
153*
61.60
60.00

21.00
84.00
280
+240
38.00
88.00
$60**

patterns/ideas
printable
printable
printable
printable
hardware store
golf tees

749.60

811.00

Cabinet
currently not listed on Alisons.
III. Operations


30.00
18.00
63.00
deca
145
35.00



19.00
16.00
44.00
deca
88.00
24.00


printable
printable


Long
Multiplication
Large
Bead Frame
Bank
Game – buy/make as set – or make gray/colored to match golden bead cards size
Flat
Bead Frame – cut own strips of paper
Checker
Board: Exercises 1 & 2
Geometrical
Form of Multiplication
Category
Multiplication
Long
Division
Distributive
Division with Racks/Tubes
Group
Division
Group
Division & Word Problems w/ Fractions

large bead frame
Bank Game
flat bead frame
checkerboard
bead bars
Racks/Tubes
Stamp Game
circles fractions


291.00

191.00

IV. Squares and Cubes of Numbers


Prerequisites
to Squares and Cubes of Numbers
Notation
of Squares
Notation
of Cubes
Games
13
Game
4: Decanomial Square
Paper
Decanomial
Sums
Using Squares and Cubes

bead cabinet
prepared labels
bead bars
division skittles


(deca)



(deca)


printable

V. Fractions


Notes
on Fraction Charts
Introduction
to Fractions
Equivalence
of Fractions
Simple
Operations
Add
& Subtract Fraction w/Diff Denom
Exercises Leading
to Abstraction of Above
Multiplication
of a Fraction by a Fraction
Division
by a Fraction

21 charts
fraction circles
black strips
prepared labels
Add’l pieces 110
Practice Problems
green skittles
prepared problems
transparencies*
division fraction skittles

125
w/stds
50.00

60.00

85
w/stds
35.00

39.00

printable
printable
printable
printable
printable

235.00

159.00

VI. Decimal Fractions


Quantity
– pull beads from racks/tubes
Symbol
Linked to Quantity
Formation
and Reading of Quantities
Operations
Conversion
of Common Fractions to Decimal
Effects
of Mult/Div Numbers by Powers of 10
Multiply
Decimal Fraction by Dec Fraction
Introduction
to the Decimal Checkerboard
Decimal
Checkerboard
Relative
Size of Terms in Mult Problem
Relative
Size of Numbers When Dividing
Division
of a Dec Fraction by a Dec Fraction
Leading
to Abstraction of Mult of Dec Frac
Division
of a Decimal Fraction on Paper

decimal cubes
#s bank game
#s w/cubes
propeller
pushpin
decimal board
king symbol
black frame
felt squares
Decimal Checkerboard
Number Box
Bead Bars 19

55.00


*
24*
36.00

deca

26.00


9.00
14.00
40.00

deca

Printable
printable

115.00

89.00

Black frame
= “Centesimal circle and Protractor”  Alison’s is green.
Alison’s
sells decimal board with pieces for 55; IFIT sells them separate for 26 and 9.
VII. Squaring and Cubing


Squaring
Transformation of
a Square, Ex 16
Passing From One
Square to Another
Squaring a Sum
Squaring with a
Hierarchical Value
Cubing
Passing From One
Cube to Another
Cubing a Binomial
Cubing a Trinomial
Cubing a
Quadrinomial
Cubing a
Trinomial w/ Numerical Value
The Story of the
Three Kings
Cubing a Number
with Decimal Value
Square Roots – could use portion of pegboard
Introduction to
the Concept
Exercises 14
Backtracking
Passages to
Abstraction
Special Cases
Recap of Square
Roots
Rule for the
Extraction of Square Roots
Cube Roots
Concept
Larger Numbers
Exercise 1: Next
Digit and Backtracking
Exercise 2:
3Digit Roots
Exercise 3:
Passage to Abstraction
Recap of Cube
Roots
Rule for the
Extraction of Cube Roots

bead squares
rubber bands
paper square of 10
bead squares
bead bars
golden beads
gold bead cards
pegboard/pegs
wood cube material
+ binomial cube
prepared labels
trinomial cube
prepared labels
“hierarchical trinomial
(aka algebraic/arithmetic)”
3 Kings prep tickets
Square roots board
units from div tubes
golden bead material
hierarchical guides
N Charts (2)
box of 1cm cubes
wood cube material

cabinet
cabinet
deca



450
40.50
59.50
54.00
22.50


30.00


cabinet
cabinet
deca



290.00
23.00
34.00
34.00
19.00
9.00


printable
printable
printable
printable
printable
printable

656.90

409.00

VIII. Other Topics


Signed
Numbers
Negative Snake Game
Operations
Powers
of Numbers
Powers of 2
Powers of 3
Combination Of Powers of Two/Three
Powers of 10
Operations – Exponential Notation
Expanded Power Notation
Operations Using Expanded Power
Other
Number Bases
Numeration (Introduction)
Operations
Conversion
Ratio
and Proportion
Introduction to Ratio
Problem Solving Using Ratio
Ratios and Fractions
More ProblemSolving with Ratios
Proportion
Word
Problems
Introduction to Word Problems
Introductory Word Problems
Distance/Velocity/Time: Sensorial
Distance/Velocity/Time: Arith Level
Distance/Velocity/Time: Algebraic
Principal/Interest/Rate/Time:
Sensorial
Princ/Interest/Rate/Time: Arith/Alg
Introduction
to Algebra
Introductory Algebra
Balancing an Equation
Solving for an Unknown in an
Equation
Algebra Word Problems
Solving for Two Unknowns

negative snake game
power of 2 cube
box 1cm cubes
number box
wood cube material
Nondecimal base board
gold beads
bead cabinet
receipt tape
operation finger charts
decanomial bead bars
number box
cups
Prepared envelopes w/ tickets
prepared cards

*
40.50



*





$59.00
23.00
*


*





Printable
printable
printable

40.50

82.00

I did not
see the Negative Snake Game at Alison’s.
I did not
see the 1cm cubes at IFIT.
Draw the
nondecimal bases on your posterboard or cardboard – this is NOT the one
available for sale!
Remedial Mathematics


Introduction
to Remediation
Numbers
110
Decimal
System – Quantity
Decimal
System  Symbol
Formation
of Numbers with Beads and Cards
Collective
Exercises: Operations
Memorization
of Tables
Teen
Beads and Boards: 1119
Ten
Beads and Boards: 1199
Final
Notes on Remediation

·
Bead bars – if the child is not yet counting to 10 OR
cannot yet write the numerals. Pull the bead bars from the Decanomial Bead
Bar Box. (need for elementary)
·
Golden beads (45 units and tens, 45 wooden hundreds and 9
wooden thousands) – need for elementary anyway
·
Teens and Tens boards (can be made on paper for the
purposes of remediation), with beads from the Decanomial Bead Bar Box and
golden units – but if you have them for another primary child, then use the
regular ones.
·
Stamp Game (need for elementary
·
Geometry materials: cabinet, solids, geometric solids –
need for elementary geometry

Teens/Tens Boards: 64.80

Teens/Tens Boards:
50.00

printables available soon

64.80

50.00

Contents of Operations Box (also called Number Box or Box
of Numbers):
·
Gray number cards 19, 0 (at least 5 sets)
·
White number cards 19, 0 (at least 5 sets)
·
Operation symbols
·
Decimal points
·
Parenthesis – 8 sets
·
Blank tickets
Printable = available in the album or at Garden of Francis
or at Keys online support
““ = listed above – use the same material
Assume: graphite pencil, colored pencils, paper, graph
paper in a variety of sizes, ruler
Transparencies: could be laminating pouch sealed together;
overhead transparency, page protector, etc.
IFIT Notes:
Golden
beads:
If
you don’t need the trays and cups, purchase the following:
·
9 Wooden Cubes: $24
·
45 Wood Hundreds: $26
·
45 Ten Bars: $11
·
45 Units: $1.50
·
(if you buy the bead cabinet material from
here, pull a beaded cube and beaded hundred from the bead cabinet for needed
presentations; otherwise, add 1 beaded cube and 1 beaded square  beaded cube
is $25; set of 9 beaded hundreds is $26).
·
You’ll need to add your choice of number cards
as well; or cut your own cardstock and make your own. (printable on Keys of the
Universe)
Alison Notes:
·
With the golden beads, verify which decimal
cards and sizes you are getting; consider printing your own.
IFIT
= $1791
Missing:
Hierarchical material, 1cm cubes, decimal cards
Alison
= $2152.80
Missing:
Negative Snake Game, golden beads, decimal cards, bead cabinet itself
PRIMARY OVERLAP

Alisons

IFIT

Keys

Large Bead Frame
Decanomial bead bar box
Bead cabinet, beads, arrows
Division racks/tubes
Stamp Game
Circle Fractions
Binomial Cube
Trinomial Cube
Negative Snake Game (use portions for Addition and Subtraction in
primary)

20.00
85.00
153.00 (beads)
61.60 (arrows)
145.00
35.00
125.00 (w/stds)
40.50
54.00
(don’t see it)

21.00
84.00
280 (beads)
240 (display)
38.00 (arrows)
88.00
24.00
85.00 (w/stds)
23.00
34.00
59.00

(paper)

TOTAL TO <MAYBE> SUBTRACT

$719.10

$976.00

Mathematics Materials List
Main
Materials – it is best to read the album page while preparing or purchasing the
materials, so that details do not have to be repeated here and you can
immediately see what each piece will be used for when considering alternates:
·
Golden bead materials – 45 units, 45 tens, 45
hundreds, 9 thousands (no more)
·
Decanomial bead bar box (bars 110, 55 of each
bar) –
o
Athome: some presentations need just a few
more bead bars – you could make the 47 extra with pony beads or connected
Legos
o
ideal for classes: add bead bar box of 110
with a smaller quantity
·
Box of bead bars 19 (schools may want 25 of
these; homes do not need it at all)
·
Box of number cards: white set with 19, 0,
gray set with same (3 copies of each #)
o
Could be same box with operation signs and
dots for decimal points
o
Another section for blank tickets and pencil
o
Classrooms need 3+ boxes
o
Could store some parentheses in here
o
A tacklebox is ideal
·
Prepared tickets for various operations
·
8 sets of parenthesis (cut from cardstock)
·
3 sets of small decimal system cards, 1 –
3000, stored on a tray/basket[1]
·
Pegboard (30 by 30 ideal; 25 x 30 if that is
all that is available)
·
Box of hierarchical pegs (green, red, blue –
could be cut down golf pegs)
·
Tables A, B, C, E (on paper for children to
use)
·
Wooden hierarchical material and corresponding
number cards (used in early work and in Powers of 10 later) – this is the
material that goes to millions
·
Large bead frame
o
Large/long notation paper for the large bead
frame
·
Complete bead material (bead cabinet:
long/short chains, squares, cubes, labels)
·
Bank Game card material (colored background;
black font – NO beads)
·
Checkerboard for Multiplication
·
Flat bead frame
·
Rulers in various styles
·
Fraction circle insets (110)
·
Stamp game
·
Racks and Tubes (division)
·
box
labeled “squares of numbers” (usually homemade)
·
Packet
of 10 envelopes with the decanomials representing the decanomial square
(homemade)
·
box of extra fraction pieces
(wholes through tenths – equivalent of 10 wholes in each fraction – on red
material is best)
·
4 Cards with prepared fraction
operations  simple (can repeat from primary)
·
Fraction division skittles (whole,
half, third, fourth)
·
2 transparencies: rectangular –
one with 4 rectangles (lines drawn long side to long side), one with 3 (lines
drawn from short side to short side)  homemade
·
Packets
of prepared fraction labels
·
4 cards with more complex
fractions operations (one for each operation)
·
Black
frame with 0100 marked around the inner circle (similar to Montessori
protractor (geometry use) which is 0360)
·
felt 3” squares: green, red, blue, light
green, pink, light blue
·
Decimal Checkerboard
·
Additional green unit skittles (if a
classroom)
·
Decimal
Board (yellow board)
·
Decimal
Fraction material (cubes, number cards, black decimal points)
·
Wooden cubing material – wood cube of each
number, with 27+ wood squares for each number
110 – the beaded cubes cannot replace this material
·
Binomial
Cube
·
Trinomial
Cube
·
set of prepared tickets in a box labeled
“(a+b)^{3} (a+b+c)^{3}”
·
2 sets of prepared tickets in box labeled
“Three Kings”
·
Printed paper square of 10
·
Square Root Pegboard (15 holes by 15 holes)
·
N/N3 Chart
·
Box of plain wood 1 cm cubes (could use set
from geometry)
·
Hierarchical
Trinomial Cube
·
Elementary
Negative Snake Game (should include box of grey 10bars)
·
Power
of Two Cube
·
An envelope marked
"velocity" containing printed tickets
·
An envelope marked
"interest" containing printed tickets
·
NonDecimal
Base Board  homemade
·
4
Arithmetic table finger charts (nondecimal bases) – these are the working
charts from the primary level
·
a piece of card
divided into twelve equal strips, with small cards: pick & shovel
Other Materials:
·
Large
red felt mat (additional 10+ felt mats any color for classroom use)
·
Large
blank paper or posterboard for childmade charts
·
Envelopes
in varying sizes
·
Sets
of blank tickets in a container – may need 23 for a classroom
·
Paper/pencil,
colored pencils
·
Graph
paper – various sized squares from ¼” to 1”
·
Long
thin strips of cardboard (1/4 – 1/3 inch wide by about 11 inches long)
·
Thin,
narrow strips (2 inches by 11 inches long)
·
Strips
of paper (10.25 x 1.25 inches or so)
·
Marker (such as a clear glass pebble or
pretty stone or piece of glass)
·
Index
cards
·
Additional
transparencies for children to make their own fraction division pieces
·
Small
thin black strips (fraction lines)
·
Symbol
for a king (crown is ideal – fits on the decimal board unit space)
·
Container
with colored rubber bands
·
Colored
discs (one each: green, blue, red) – could pull from stamp game
·
two plastic cups with a line of black tape or
marker across each one
·
Roll
of adding machine tape
Charts:
·
History
of mathematics charts
·
Fraction
charts (homemade)
Other Resources to
Have on Hand:
§ http://livingmath.net for additional resources – perfect for cosmic
education
§ Life of Fred books can be interesting to this age and into middle/high school
·
Math Dictionary for Kids: The
Essential Guide to Math Terms, Strategies, and Tables (straightforward, nononsense,
illustrated)
[1]
Small decimal cards could be the same ones that the children used in primary;
each number is stored together (all three ones together, all three twos
together)
Wow.
ReplyDeleteThat was a lot of work! At my stage in the game it is a RELIEF to look through all that and realize I already own it all, LOL. In my head I always think of geometry as part of math so I DO have some geometry materials outstanding. I'll probably be ordering them soon and I keep thinking, "wow, I'll be done ordering materials." Of course, there will always be things I want from ETC and such, but still. I don't know if I'll EVER make those geometry charts. Yuck. Kids can make them.
I have been meaning to ask you a question from the OTHER point of view. I am going to be selling a bunch of things soon. I am giving my shelves the old stink eye and thinking about what can get out of the way. Most things are an obvious yes or no. However, I've been eyeing up my 1000 cubes and 100 squares. I have 45 of each. AFTER we've done group division in elementary do I still need those. I am happy to keep them if you think I'll use them. I just keep looking at them and wonder if I'll be glad to have them in a year or two to revisit something. Wanted your opinion. Same with the 100 board. Will I find a use for it if I have it or should it go. (I keep thinking "multiples" but I think the paper boards are more useful for that.)
I was so nervous doing this because I thought the numbers would scare people away! Maybe it still will, but the response so far has been one of relief. Yay!
DeleteExponential notation still uses the golden beads (not all 45 cubes though ;) ); after that you should be good. I should check the adolescent album though... if you decide to go down that route you might come hunt me down and say "you told me!" ;)
100 board should be good to go.
Quick glance at the adolescent  I don't see the golden beads listed.
DeleteYou've given me an idea though!
I need to get on with some sewing and stampmaking, so by midafternoon, I hope to have posted scans of the materials list pages (3) from the adolescent album  and will post in the discussion community. I can't provide the whole album, but I think I am ok with sharing the materials list so everyone knows what to keep if they continue with Montessori!
Oh that would be great! I do plan on getting that adolescent algebra/math album in the future. I would love to know what I need to hang on to so that I don't sell off things I need. I'll look over that exponential notation album page(s) and see how far away we are and how much I might want to keep. I'd love to get some of these wooden number cards off my shelf too.
DeleteThank you Jessica for this...and WOW, that was a TON of work. A TON. Goodness. I am feeling like MBT here knowing that this year we have basically collected all the Montessori materials that we'll be needing through the end of KotU. (now it is on to all the other things we need.) I actually felt like I spent WAY more on materials than this, but I guess it could have been the primary stuff that makes me feel like this. There is a TON TON of that.
ReplyDeleteThis list also goes to show how much is made by the guide. It is amazing to me how any of us find the time. True dedication perhaps.
Thank you again for putting this together! MBT I want to see your new elementaryonly shelves when you are done with your reorg!
Wow, that must have been a ton of work. So kind of you to share this!
ReplyDeletewhoa, as I take a big gulp! Will I ever be able to come up for air from material making?? lol
ReplyDeleteIt truly does come to an end  or at least becomes a TINY trickle. ;) I am also a FIRM believer in the child creating materials as well  either by own design or as an assistant.
Delete:)
Wow. So much material! Just for math! I absolutely understand sequential learning and really love that but, man! As an absolute beginner, it's highly intimidating.
ReplyDeleteAnd for that  I wish I could make it look as good as it actually is!
DeleteThis is 6 years of materials (some of which can be used in primary; and some of which is also used into adolescence)  many of the materials are used again and again and again (you'll note where the symbol "" is)  only where a price is listed is there an actual material to purchase or make. The only new things for the last chapter ("Other Topics") for example is the negative snake game and the powers of 2 cube ;)
So  it IS better than it looks ;)