## Making a Binomial and Trinomial Cube

June 25, 2007 by donnamarie

I am spending the summer in a major overhaul on the house, attic and basement. I am finding any lost pieces and re-filing all my paperwork…why? Not because I am a glutton for punishment, but because I need to get my head and heart ready for the new school year game.

I came across this list of sizes for the trinomial and binomial cube…and thought I would share. I did this a few years ago and I am missing a few pieces so I need to find a good source of cm blocks in bulk again…anyone??…besides I want to make the painted **and** unpainted versions!

OK…measurements…the Trinomial is made up of 3 cubes and 7 sizes of prisms(but more than one of each size as follows:

**Cubes of Trinomial:**

4x4x4

3x3x3

2x2x2

**Prisms of Trinomial:**

(3) 4x4x3

(3) 4x3x3

(6) 4x3x2

(3) 3x3x2

(3) 4x2x2

(3) 3x2x2

All of the 4×4 faces are red.

All oif the 3×3 faces are blue.

All of the 2×2 faces are red.

All non-square faces are black.

**Cubes of Binomial :**

4x4x4

3x3x3

**Prisms of Binomial:**

(3) 4x4x3

(3) 3x3x4

All 4×4 faces are red.

All 3×3 faces are blue.

All 3×4 faces are

black.

When we made ours a few years ago, I used wood cm blocks and joined them together with wood glue. I just made the Trinomial Cube the first time as the cubes and prisms of the Binomial are the same…They aren’t 100% square, but we did not mind. (in truth, they looked pretty darn good IMHO ðŸ˜‰

We also did not paint ours…I was intending to make another set that I would paint (after coating it with a bit of wood filler)…the kids enjoyed seeing and feeling how many cm blocks made up each cube or prism. At the time, I did not even make up the cards for the cubes either…this time I am. I hope this helps someone!

Cards and equations for Binomial and Trinomial cube

**Lessons:**

Shu Chen: binomial, trinomial

MWEI: Binomial, Trinomial

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on October 2, 2007 at 11:18 am |FeThank you!

I’m just starting to make a pile of maths materials (I am jumping about a bit), today I got the wood for the red rods/number rods, and the brown stair and pink tower. I have been figuring that the numbers for the binomial and trinomial cubes must be ‘out there’, but didn’t bother to look _yet_ because I’m not ready… I was looking for something else and your blog was linkedâ€”with exactly what I was hoping to find later:-)

Now to make a note where I will be able to find it when I need it:-)

on May 21, 2008 at 3:12 am |BushraLovely and Thank you for sharing. I was planing to make these two and still thinking how to get the wood. Never think of using cubes. Great idea!

on May 14, 2009 at 4:26 pm |LoriHi! Thank you so much for linking to my Binomial & Trinomial cards. Just wanted to mention that the link to those items has changed; you can find it here now:

Word Problems and Equations.

If you have a chance to update your post, I’d be most grateful!

Thanks,

Lori

on May 19, 2011 at 6:38 am |Make Your Own Montessori Sensorial Materials | the little list[…] Montessori Binomial Cube and Trinomial Cube with A Garden of Roses and […]

on January 24, 2012 at 11:50 pm |LizFor anyone else looking at this the totals are

Binomial: 343

Trinomial: 633 (343 from binomial + 290)

Both: 976

on January 27, 2012 at 4:02 am |DelynnSeems like something is missing…

I was calculating the total number of centimeter cubes that would be needed to build a trinomial cube, and I was puzzled that the total number according to the dimensions given here don’t make a cubic number. (the total was 633, should have been 729 or 9 cubed) On Sue Chen’s website (http://faculty.fullerton.edu/syen/mts/sensor/7.htm) it looks like the total number of blocks should be 27, so 3 were missing from the list given here. I think the dimensions of the missing blocks are three 4 x 4 x 2 blocks.

Thanks so much for posting this information! So helpful!