## Friday 30 October 2015

### Montessori Activity: Small Bead Frame - Dynamic Multiplication

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:

2. 1 worksheet
3. 1 green, red and blue pencil

PRESENTATION:

423
x       3
---------
1269

2. Expand the multiplicand 423 on notation paper, i.e. 2, 30 and 400.

3. Slide 3 green unit beads 3 times to the right.

4. Count the beads on the right and write the answer 9 on the worksheet.

5. Slide 2 blue ten beads 3 times to the right.

6. Count the beads on the right and write the answer 6 on the worksheet.

7. Slide 4 red hundred beads 3 times to the right.

8. After the 2nd time, you will find that you don't have sufficient beads. You only have 2 beads to the right, and you are still missing 2 beads.

9. Slide the last 2 beads to the right.

10. Exchange by sliding all the red hundred beads back to the left in exchange for sliding 1 green thousand bead to the right.

11. Then slide 2 red hundred beads you are still missing earlier to the right.

12. Count the beads on the right and record the answer on the worksheet, i.e. 2 red hundred bead and 1 green thousand beads, i.e. 1269.

PHOTO DEMONSTRATION:

2. Expand the multiplicand 432 on notation paper, i.e. 2, 30 and 400 (optional).

3. Slide 3 green unit beads 3 times to the right:

4. Count the beads on the right and write the answer 9 on the worksheet:

5. Slide 2 blue ten beads 3 times to the right:

6. Count the beads on the right and write the answer 6 on the worksheet:

7. Slide 4 red hundred beads 3 times to the right:

8. After the 2nd time, you will find that you don't have sufficient beads. You only have 2 beads to the right, and you are still missing 2 beads:

9. Slide the last 2 beads to the right:

10. Exchange by sliding all the red hundred beads back to the left in exchange for sliding 1 green thousand bead to the right:

11. Then slide 2 red hundred beads you are still missing earlier to the right:

12. Count the beads on the right and record the answer on the worksheet, i.e. 2 red hundred bead and 1 green thousand beads, i.e. 1269:

VIDEO DEMONSTRATION:

J tried this for the first time on 30 Oct. 2015 (6Y6M25D). He could do it easily on paper, calculating in his head the right answer and writing it down, but made some mistakes manipulating the beads when exchanging. I must admit that exchanging using the Small Bead Frame is not the most straight forward. One has to remember the remaining beads not moved over, after exchanging and moved those beads over. It seemed that it is easier for him to understand and do the sum on paper using the written vertical format method, then using the Small Bead Frame. But I am not too concerned. In fact, I am questioning a little the usefulness of the Small Bead Frame, when doing exchange is required. This is a Montessori tool that is nice to have, but not absolutely necessary.

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