Friday, 9 May 2014

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Montessori Activity: Trinomial Cube



AGE: From 3 to 3.5 years old

OBJECTIVE(S): 

1. Visually introduce the child to the concept of cubes of trinomial, while providing a fun challenge. 
2. To prepare the child for mathematics, especially algebra, through the cube’s visual representation of the following algebraic formulas:  (a+b+c)3 =  (a+b+c) * (a+b+c) * (a+b+c)  = a3+3a2b+3a2c+b3+3ab2+3b2c+c3+3ac2+3bc2+6abc

MATERIALS:

1 Trinomial Cube

PRESENTATION:

1. Remove the lid and place it on the table with the picture facing up.

2. Take out all the prisms out carefully one layer at a time, keeping each level together.

3. Bring your child’s attention to the red cube.

4. Place it into the back left corner of the box.

5. Bring attention to one of the red sides of the cube and place a prism that also has a red side in front of the red cube.

6. Build the first layer by working your way from the back left corner to the front and then from the right side to the front.

7. Build the second and third layer in the same manner. 

8. Close the box, one side at a time and then replace the lid.

9. Invite the child to work with the trinomial cube.

VARIATIONS:

1. Build the trinomial cube layer-by-layeras in the presentation without the help of the box.

2. Build the trinomial cube outside of the box.

3. Line the blocks in rows by color: a row of reds, a row of blues, a row of yellow and a row of blacks. Then build it layer-by latyer.

VIDEO DEMONSTRATION:

https://www.youtube.com/watch?v=ZEZnNFxsnS8
https://www.youtube.com/watch?v=A2VHQAy1oAo
https://www.youtube.com/watch?v=jcMRfogqRpE

CONTROL OF ERROR:

1. The pattern constructed compared to the pattern shown on the box.

2. The blocks fitting back into the box.

ADDITIONAL INFORMATION:

J saw the trinomial box on the shelf and was very eager to try this on 5 May 2014 (5y2m). Before I could show the presentation, he was too impatient and he had already taken all the blocks out of the box. So he built it, with a bit of help from me. I will like to repeat it again, this time, one layer at a time.

REFERENCES:

http://www.montessorialbum.com/montessori/index.php?title=Trinomial_Cube

http://www.infomontessori.com/sensorial/visual-sense-trinomial-cube.htm

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