Thursday, 27 August 2015

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Montessori Activity: Small Bead Frame


Note: I am showing the large bead frame above, because it is not necessary to buy both the small bead frame and the large bead frame. I am using the large bead frame to do the small bead frame exercises.

AGE: 5.5 (after the child has worked with the Stamp Game)

OBJECTIVE(S):

To show the relationship between the different place values in the decimal system.

MATERIALS:

1. Small bead frame
2. 1 worksheet
3. 1 green, red and blue pencil
4. 1 eraser
5. The Stamp Game (optional - for comparison with the Small Bead Frame)
6. The Golden Beads Introduction Tray (optional - for comparison with the Small Bead Frame)

PRESENTATION I (COMPARISON WITH GOLDEN BEADS):

1. Place the frame before the child and show him the four numbers printed along the left side of the frame.

2. Tell your child that the green beads on the 1st wire represent unit beads, say, "This is one unit." (At this point, you can bring out 1 golden unit bead and tell him that they are equivalent to each other).

3. Take out a quantity of unit golden beads, i.e. 5 and ask him to slide to the right the equivalent number of green unit beads, and he should slide out 5 green unit beads.

4. Tell your child that the blue beads on the 2nd wire represent the ten beads, say, "This is one ten." (At this point, you can bring out 1 golden ten-bar and tell him that they are equivalent to each other).

5. Take out a quantity of golden ten-bars, i.e. 3 and ask him to slide to the right the equivalent number of blue ten beads, and he should slide out 3 blue tend beads.

6. Tell your child that the red beads on the 3rd wire represent the hundred beads, say, "This is one hundred." (At this point, you can bring out 1 golden hundred-square and tell him that they are equivalent to each other).

7. Take out a quantity of golden hundred-squares i.e. 4 and ask him to slide to the right the equivalent number of red hundred beads, and he should slide out 4 red hundred beads.

8. Tell your child that the green beads on the 4th wire represent the thousand beads, say, "This is one thousand." (At this point, you can bring out 1 golden thousand-cube and tell him that they are equivalent to each other).

9. Take out a golden thousand-cube and ask him to slide to the right the equivalent number of red hundred beads, and he should slide out 1 green thousand bead.

10. If necessary, do a Three Period Lesson with the new beads on the Small Bead Frame.

VIDEO DEMONSTRATION:














PRESENTATION II (COMPARISON WITH THE STAMP GAME):

1. Place the frame before the child and show him the four numbers printed along the left side of the frame.

2. Tell your child that the green beads on the 1st wire represent unit beads, say, "This is one unit." (At this point, you can bring out 1 green unit stamp and tell him that they are equivalent to each other).

3. Take out a quantity of green unit stamp, i.e. 5 and ask him to slide to the right the equivalent number of green unit beads, and he should slide out 5 green unit beads.

4. Tell your child that the blue beads on the 2nd wire represent the ten beads, say, "This is one ten." (At this point, you can bring out 1 blue ten stamp and tell him that they are equivalent to each other).

5. Take out a quantity of blue ten stamps, i.e. 3 and ask him to slide to the right the equivalent number of blue ten beads, and he should slide out 3 blue tend beads.

6. Tell your child that the red beads on the 3rd wire represent the hundred beads, say, "This is one hundred." (At this point, you can bring out 1 red hundred stamp and tell him that they are equivalent to each other).

7. Take out a red hundred stamps i.e. 4 and ask him to slide to the right the equivalent number of red hundred beads, and he should slide out 4 red hundred beads.

8. Tell your child that the green beads on the 4th wire represent the thousand beads, say, "This is one thousand." (At this point, you can bring out 1 green thousand stamp and tell him that they are equivalent to each other).

9. Take out a quantity of green thousand stamps i.e. 6 and ask him to slide to the right the equivalent number of red hundred beads, and he should slide out 6 green thousand bead.

10. If necessary, do a Three Period Lesson with the new beads on the Small Bead Frame.

11. Show him how the color of the stamps matches the color of the beads of the small bead frame.

12. Show him how the numbers written on the stamps an the numbers written on the side of the bead frame.

VIDEO DEMONSTRATION:














PRESENTATION III (WITHOUT ZERO):

1. Write a number on paper, such as 3256.

2. Slide one green unit bead at a time to the right and count as you go along until you have moved 6 green unit beads to the right.

3. Do the same by sliding 5 blue ten beads, 2 red hundred beads and 3 green thousand beads to the right, counting them as you go away. Say, "You now have 3256."

4. Slide all the beads back to the left, invite your child to write a number on the notation paper and try out making this number on the bead frame himself.

5. Next invite your child to compose a number on the bead frame and composes the number on his notation paper.

VIDEO DEMONSTRATION:








PRESENTATION IV (WITH EXCHANGE - WITH ZERO):

1. Slide the green unit beads one by one to the right, and as you do so, say, "one unit, two units" all the way to 10 units.

2. After having counted 10 green units say, "Ten units make one ten," and move the 10 green unit beads back to the left and at the same time move 1 blue ten bead to the right.

3. Ask your child to record this on paper and ask your child if there is any green unit bead left. He will say no, and because there are no green unit beads left, ask him to write a zero in the unit column on the worksheet and a 1 on the ten column on the worksheet.

5. Repeat this for the tens, hundreds, and thousand.

6. Continue counting and moving 10 blue ten beads to the right.

7. After having counted 10 blue beads, say, "10 blue ten beads make 1 hundred," and move the 10 blue beads back while moving 1 red bead to the right.

8. Ask your child to record this on paper and ask your child if there is any blue ten bead left. He will say no. Ask him to write a zero in the ten column on the worksheet and a 1 on the hundred column on the worksheet.

9. Continue counting and moving 10 red hundred beads to the right.

10. After having counted 10 red beads, say, "10 red hundred beads make 1 thousand," and move the 10 red beads back while moving 1 green bead from the 4th wire to the right.

11. Ask your child to record this on paper and ask your child if there is any red hundred bead left. He will say no. Ask him to write a zero in the hundred column on the worksheet and a 1 on the hundred column on the worksheet.

VIDEO DEMONSTRATION:



PRESENTATION V (STATIC ADDITION):

1. Read a problem to your child, i.e.:

   3461
+ 2132
---------

2. Ask your child to build the first addend on the bead frame, i.e. slide 1 green unit bead to the right, 6 blue ten beads to the right, 4 red hundred beads to the right and 3 green thousand beads to the right.

3. Ask your child to build the second addend with the remaining beads, i.e. slide 2 green unit beads to the right, 3 blue ten beads to the right, 1 red hundred bead to the right and 2 green thousand beads to the right.

3. Count the beads on the right and record the answer, i.e. 5593 on the worksheet.

VIDEO DEMONSTRATION:








PRESENTATION VI (DYNAMIC ADDITION):

1. Read a problem to your child, i.e.:

    4679
+ 2864
---------
   7543
2. Slide 9 green unit beads to the right.

3. During the process of adding 4, slide 1 green unit bead over to the right, which makes the total of 10.

4. Exchange by sliding 10 green unit beads back to the left and 1 blue ten bead the right.

5. Continue sliding the 3 remaining green unit beads to the right, counting as you go along... 2, 3, 4.

6. Count the beads on the right, i.e. 13 and record it on the worksheet.

7. Next slide 7 blue ten beads to the right.

8. During the process of adding 6, slide 2 blue ten beads over to the right, which makes the total of 10.

9. Exchange by sliding 10 blue ten beads back to the left and 1 red hundred bead to the right.

10. Slide the remaining 4 blue ten beads to the right, counting as you go along... 3, 4, 5, 6.

11. Count the beads on the right, i.e. 140 and record it on the worksheet.

12. Slide 6 red hundred beads to the right.

13. During the process of adding 8, slide 3 red hundred beads to the right, which makes a total of 10.

14. Exchange by sliding 10 red hundred beads back to the left and 1 green thousand bead to the right.

15. Continue sliding the 5 remaining red hundred beads to he right, counting as you go along... 4, 5, 6, 7, 8.

16. Count the beads on the right, i.e. 1500 and record it on the worksheet.


17. Slide 4 green thousand beads to the right from the first addend.

18. Slide another 2 green thousand beads to the right for the second addend. 

19. Count the beads on the right and record the answer in the worksheet i.e. 7543.

1. Read a problem to your child.


2. Slide 9 green unit beads to the right.


3. During the process of adding 4, slide 1 green unit bead over to the right, which makes the total of 10.


4. Exchange by sliding 10 green unit beads back to the left and 1 blue ten bead the right.


5. Continue sliding the 3 remaining green unit beads to the right, counting as you go along... 2, 3, 4.


6. Count the beads on the right, i.e. 13 and record it on the worksheet.


7. Next slide 7 blue ten beads to the right.


8. During the process of adding 6, slide 2 blue ten beads over to the right, which makes the total of 10.

9. Exchange by sliding 10 blue ten beads back to the left and 1 red hundred bead to the right.


10. Slide the remaining 4 blue ten beads to the right, counting as you go along... 3, 4, 5, 6.


11. Count the beads on the right, i.e. 140 and record it on the worksheet.


12. Slide 6 red hundred beads to the right.


13. During the process of adding 8, slide 3 red hundred beads to the right, which makes a total of 10.


14. Exchange by sliding 10 red hundred beads back to the left and 1 green thousand bead to the right.


15. Continue sliding the 5 remaining red hundred beads to he right, counting as you go along... 4, 5, 6, 7, 8.


16. Count the beads on the right, i.e. 1500 and record it on the worksheet.


17. Slide 4 green thousand beads to the right from the first addend.



18. Slide another 2 green thousand beads to the right for the second addend. 


19. Count the beads on the right and record the answer in the worksheet i.e. 7543.

PRESENTATION VII (STATIC SUBTRACTION):

1. Read a problem to your child, i.e.:
  4958
- 3715
--------
  1243

2. Ask the child to build the minuend in beads to the right of the frame, i.e. slide 8 green unit beads, 5 blue ten beads, 9 red hundred beads and 4 green thousand beads to the right.

3. Slide 5 green unit beads back to the left to show the subtraction of 8 - 5.

5. Slide 1 blue ten bead back to the left to show the subtraction of 50 - 10.

6. Slide 2 red hundred beads back to the left to show the subtraction of 900 - 700.

7. Slide 1 green thousand bead back to the left to show the subtraction of 4000 - 3000.

8. Count the remaining beads on the right and record the answer on the worksheet, i.e. 1243.

VIDEO DEMONSTRATION:


PRESENTATION VIII (DYNAMIC SUBTRACTION):

1. Read a problem to your child, i.e.:

    4962
- 2347
---------
   2615

2. Have your child build the minuend in beads to the right of the frame, i.e. slide 2 unit green beads, 6 ten blue beads, 9 hundred red beads and 4 thousand green beads to the right.

3. Have your child try to take 7 unit beads away from 2 unit beads by sliding the green unit beads to the left and he will notice that he doesn't have enough to do so, after he has taken away 2 unit beads.

4. Tell your child, "We can exchange a ten blue bead for 10 green unit beads."

5. Slide 1 blue ten bead back to the left and move 10 green unit beads to the right.

6. Ask him to remember that he has already taken 2 units away just now, so he should continue counting from 3 and slide away 5 green unit beads back to the left to show the subtraction 12-7. There should be 5 green unit beads remaining on the right after this process.

7. Ask your child how many blue ten beads he has now and he should answer 5.

8. Have your child slide 4 blue ten beads to the left to show the subtraction 50-40.

9. Have your child slide 3 red hundred beads to the left to show the subtraction 900-300.

10. Have your child slide 2 green thousand beads to show the subtraction 4000-2000.

11. Count the remaining beads on the right of the frame and record the answer on the worksheet, i.e. 2615.

VIDEO DEMONSTRATION:



PRESENTATION IX (STATIC MULTIPLICATION):

1. Read a problem to your child, i.e.:
   321
x     3
---------
   963

2. Have your child build 1 unit three times on the small bead frame by sliding 3 green unit beads to the right one at a time.

3. Count and record the units on the worksheet, i.e. 3.

4. Have your child build 2 tens three times by sliding 6 blue ten beads to the right two at a time.

5. Count and record the tens on the worksheet, i.e. 6.

6. Have your child build 3 hundreds three times by sliding 9 blue ten beads to the right three at a time.

7. Count and record the tens on the worksheet, i.e. 9.

8. Read the question and answer aloud together.

9. Invite your child to do the next question and remind him that once he knows his time-tables by heart, he will no longer need to use the beads.

PRESENTATION X (DYNAMIC MULTIPLICATION):

1. Read a problem to your child, i.e.:
   1432
x       6
---------
   8592

2. Expand the multiplicand 1432 on notation paper, i.e. 2, 30, 400, 1000.

3. Slide 2 green unit beads 6 times to the right, and after you have moved 10, you will be short of 2 green unit beads.

4. Exchange by sliding all the green unit beads to the left and sliding 1 blue ten bead to the right and sliding the remaining 2 green unit beads back to the right i.e. total 12.

5. Slide 3 blue ten beads 6 times to the right, you will find that you after the 3rd time, you will be short of beads.

6. Exchange by sliding back all the blue ten beads to the left and sliding 1 red hundred bead to the right, followed by sliding the remaining 9 blue ten beads back to the right.

7. Slide 4 red hundred beads 6 times to the right, and you will find that you are short of 15 beads.

8. Exchange by sliding all the red hundred beads to the left and sliding 1 thousand bead to the right followed by sliding the remaining 15 red hundred beads to the right. You will still find that you are short of 5 beads.

9. Exchange by sliding all the red hundred beads to the left and sliding 1 thousand bead to the right, followed by sliding the remaining 5 red hundred beads to the right.

10. Slide 1 green thousand bead 6 times to the right.

11. Count the beads on the right and record the answer on the worksheet, i.e. 8,592.

VIDEO DEMONSTRATION:





ADDITIONAL INFORMATION:

REFERENCES:

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



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