Montessori Activity: The Bead Cabinet - Sensorial Experiences with the Chain (Stage V)

 

AGE: 4.5-6 (the child should have worked with the initial bead presentation and the short bead stair and be very familiar with the sensorial materials)

OBJECTIVE(S): To show the child the progression of different relationships between units, squares, and cubes.

MATERIALS:

1.     Colored bead cubes

2.     Cube chains

3.     Several mats

 

PREPARATION:

1.     Place several rugs on the floor, one beneath the other.

2.     Bring the bead presentation tray containing 1 unit, 10 bar, 100 square and 1000 cube to the mat. Later add to these materials the 100 and 1000 chains.

STAGE V

1.     From the top of the mat, right to left, lay out the squares from 100 to 1 and below place the cubes:

- 100 square

- 9 square

- 8 square

- 7 square

- 6 square etc. to 1 red bead

- 1000 cube

- 9 cube

- 8 cube

- 7 cube

- 6 cube etc. to 1 red bead

2.     Let child observe this new layout. Does he see any similarities? Is there any relationship?

3.     Beginning with 1, show the child how many squares are represented in each appropriate cube. After each is shown replace the square to its appropriate place on the rug. In doing this superimpose the square directly over each square in the cube, counting it out (e.g. the square and cube of five). "This is the square of five", "This is the cube of five." Placing the square of five over the squares in the cube, count it out, "one, two, three, four, five." Repeat this procedure all the way through.

4.     Layout as before, but this time layout all of the squares in a vertical manner from left to right. Place the cubes underneath each appropriate row of squares. Let the child observe this pattern.

5.     Beginning with the 1 bead, place it next to the other red bead.

6.     Stack up the squares of two to form the cube of two.

7.     Stack up the squares of three to form the cube of three.

8.     Stack up the squares of four to form the cube of four.

9.     Continue in this manner all the way through 1000.

10.  Repeat the above step 4 in a horizontal manner.

11.  Beginning with the 1000 cube, build the cubes vertically to form a tower, superimposing one cube on top of another.

REFERENCES:

- https://archive.org/details/advancedmontess00livigoog
- Shu-Chen Jenny Yen’s On-line Montessori Albums http://faculty.fullerton.edu/syen/mts/math/_link.htm

Montessori Activity: The Bead Cabinet - Sensorial Experiences with the Chain (Stage IV)

 

AGE: 4.5-6 (the child should have worked with the initial bead presentation and the short bead stair and be very familiar with the sensorial materials)

OBJECTIVE(S): To show the child the progression of different relationships between units, squares, and cubes.

MATERIALS:

Bead Cabinet consists of:

1.     Short bead stair

2.     Square chains

3.     Squares
4.     Several mats
5.   The squares in the Square of Pythagorean added later

 

PREPARATION:

1.     Place several mats on the floor, one beneath the other.

2.     Bring the bead presentation tray containing 1 unit, 10 bar, 100 square and 1000 cube to the mat. Later add to these materials the 100 and 1000 chains.

STAGE IV:

1.     From the top of the mat, right to left, place the bead bars 1-9, underneath the bead bars (vertically) the square chains and underneath the square chains the squares.

2.     Let the child or children observe this layout for a while. Does he notice any similarities? How are these chains to the squares related?

3.     Then take each bead bar and place it next to the appropriate sections of the square chains (as in Stage III, step 4). Then return the beads to the top of the mat.

4.     Fold each square chain, beginning with two, to form the square below. Place the squares next to the folded up chains. 

5.     Place the squares on top of the folded chains. 

6.     Return the bead bars to the box. 

7.     Place the folded square chains across the top of the rug but now left to right from 1 to 100. Place the squares below this in the appropriate place. Place the squares in the Square of Pythagorean below this. Let the child observe the color relationship. 

8.     Superimpose the squares (beads) on top of one another beginning with the 100 square, square of nine, square of eight, etc. to 1.  

9.     Repeat this with the Square of Pythagorean. 

10.  Let the children later discover if there is any relationship of size between the following: 

- bead squares to the squares in the square of Pythagorean

- either of the above to the cubes in the pink tower

             - either of the above to the broad stair

- matching the colors to color box 2

 REFERENCES:

- https://archive.org/details/advancedmontess00livigoog
- Shu-Chen Jenny Yen’s On-line Montessori Albums http://faculty.fullerton.edu/syen/mts/math/_link.htm

Montessori Activity: The Bead Cabinet - Sensorial Experiences with the Chain (Stage III)

 

AGE: 4.5-6 (the child should have worked with the initial bead presentation and the short bead stair and be very familiar with the sensorial materials)

OBJECTIVE(S): To show the child the progression of different relationships between units, squares, and cubes.

MATERIALS:

Bead Cabinet consists of:

1.     Short bead stair

2.     Square chains

3.     Several mats

 

PREPARATION:

1.     Place several mats on the floor, one beneath the other.

2.     Bring the bead presentation tray containing 1-unit, 10-bar, 100-square and 1000-cube to the mat. Later add to these materials the 100 and 1000 chains.

STAGE III:

1.     From the top of the mat, right to left, place the following short bead stair beads: 9-bead bar dark blue, 8-bead bar brown, 7-bead bar white, 6-bead bar purple,.....to 1-bead red.

2.     Have child count each bead bar as it is being placed on the mat beginning with:

- One red bead saying, "one"

- Two green beads saying, "one, two"

- Three pink beads saying, "one, two, three"

- Four yellow beads saying, "one, two, three, four"

- Five light blue beads saying, "one, two, three, four, five"
 

3.     Continue in this manner through nine.
 

4.     Below the above layout, place in a vertical line below the appropriate beads the square chains: 9 chain (vertical), 8 chain, 7 chain… to 1 red bead.
 

5.     Beginning with the red bead, place the individual bead bars next to the appropriate sections of the square chains. This is to show the child the relationship of the materials together and how many individual bars are used to make a particular chain.
 

6.     After placing the bead bars next to the appropriate sections of the square chain, return the bead bars to the top of the mat.
 

7.     Repeat above process but place the total layout in a horizontal manner:
 

1 red bead 1 red bead, 2 green bead bar 2 green square chain, 3 pink bead bar 3 pink square chain, 4 yellow bead bar 4 yellow square chain, 5 light blue bead bar 5 light blue square chain, 6 violet bead bar 6 violet square chain, 7 white bead bar 7 white square chain, 8 brown bead bar 8 brown square chain, 9 dark blue bead bar 9 dark blue square chain and 10 golden bar 100 golden chain

REFERENCES:

- https://archive.org/details/advancedmontess00livigoog
- Shu-Chen Jenny Yen’s On-line Montessori Albums http://faculty.fullerton.edu/syen/mts/math/_link.htm

Montessori Activity: The Bead Cabinet - Sensorial Experiences with the Chain (Stage II)

 

AGE: 4.5-6 (the child should have worked with the initial bead presentation and the short bead stair and be very familiar with the sensorial materials)

OBJECTIVE(S): To show the child the progression of different relationships between units, squares, and cubes.

MATERIALS:

Bead Cabinet consists of:

1.     1 golden unit bead, 10 bar, 100 square, 1000 cube

2.     1 set of short bead bars: 1 red, 2 green, 3 pink, 4 yellow, 5 light blue, 6 violet, 7 white, 8 brown, 9 dark blue

3.     1 complete set of bead squares with their appropriate chains

4.     1 complete set of bead cubes with their appropriate cube chains.

5.     Several mats

 

STAGE II:

1.     Bring the bead presentation tray containing 1-unit, a 10-bar, a 100-square and a 1000-cube to the mat. Later add to these materials the 100 and 1000 chains.

2.     From the top of the mat, right to left, place the following beads:   

1000-cube, 100-square, 10-bar, 1-unit

3.     Under the above layout, place the following bead materials laid out vertically:

1000-chain, 100-chain, 10-bar, 1-unit

4.     Observe if the child notices any similarity in these layouts. Ask: “Are they the same?”

5.     Ask: "Can you bring me something in the Maths area that would also represent units?"

6.     Your child could bring:

- the shortest number rod

- another unit bead

- 1 red bead

- the numeral one

- one spindle

- one counter, etc.

7.     Ask: "Can you bring me something else in the Maths area that would also represent ten?"

8.     Your child could bring to the mat:

- the longest number rod

- another ten-bar

- the numeral ten

- ten spindles

- ten fractions parts, etc.

9.     Ask: "Can you bring me something else in the Maths area that would also represent 100?"

10.   Your child repeats above process.

11.  Ask: "Can you bring me something else in the Maths area that would represent 1000?"

12.  Your child repeats above process.

13.  After this stage is completed, the child/children return the materials to their appropriate place.

14.  Same process is used here except the child or children are asked to bring the materials in the same quantities from other areas of the classroom. After this stage is completed, the children return the materials to their appropriate place.

1 May 2014 (5Y1M26D) - Ask: "Can you bring me something else in the Maths area that would also represent ten?"

Your child could bring:
- the longest number rod

- another ten-bar

- the numeral ten

- ten spindles

- ten fractions parts, etc.

Various representations of ten

REFERENCES:

- https://archive.org/details/advancedmontess00livigoog
- Shu-Chen Jenny Yen’s On-line Montessori Albums http://faculty.fullerton.edu/syen/mts/math/_link.htm

ADDITIONAL INFORMATION:

We tried this today. J (5Y1M26D) made a long train with the 1000 chain and J suggested to continue from his bedroom to our bedroom, and that was how long a 1000 was.

The 100-chain and 1000-chain are available from Amazon: