Montessori Activity: Dynamic Subtraction with Golden Beads - Ten Place Value

AGE: 5.5 years old

OBJECTIVE: To introduce the child to double digit dynamic subtraction by exchanging and breaking bulk.

MATERIALS:

1. 19 unit beads
2. 9 ten-bars
3. 1 double digit addition worksheet
4. 3 felt pieces
5. 1 pencil and eraser

PRESENTATION:

1. Arrange the materials according to the picture above.

2. Invite your child to read the first equation or you can also read it together, for e.g. 41+3=?

3. Point to the unit place value of the minuend in the worksheet and ask, "How many units are there?" Your child should answer 1.

4. Take 1 unit bead and place it on the felt piece to the right of the worksheet.

5. Next, point to the ten place value of the minuend and ask, "How many tens are there?" Your child should answer 4 tens.

6. Take 4 ten-bars from the first felt piece and place it on the right felt piece to the left of the selected unit beads.

7. Point to the subtrahend and ask, "How many are there?" Your child should answer 3. Say, "1-3 is not possible without exchanging. You cannot break the ten-bar, but you can exchange it for 10 loose unit beads. 1 ten-bar is the same as 10 unit beads."

8. Put back 1 ten-bar to the left blue felt and exchange for 10 unit beads from the left green felt.

9. Say, "Now you have sufficient unit beads to take away 3" and remove 3 unit beads down the felt piece on the right.

10. Ask your child to count the remaining golden beads left on the top of the right felt. Your child should answer, "38" and write the number on the ten place on the worksheet.

11. Read out the question and answer together, for e.g. 41+3=38

12. Invite your child to try with the next equation.

ADDITIONAL INFORMATION:



REFERENCES:

Place 41 golden beads on the right felt

Say, "It is impossible to take away 3 from 1, but you can exchange a 1 ten-bar with 10 unit beads"

Place the 10 unit beads on the right felt in place of a ten-bar

Say, "Now you have enough unit beads to take away 3" and move 3 unit beads down the left felt

Count the remaining beads left on the top of the right felt, and your child should say, "38". Prompt him to write his answer down on the worksheet and say, "41-3=38"

Montessori Activity: Dynamic Addition with Golden Beads - Thousand Place Value

AGE: 5.5 years old (after your child has tried The Bank Game and Vertical Static Addition)

OBJECTIVE: To introduce the child to quadruple digit addition

MATERIALS:

1. 19 unit beads
2. 19 ten-bars
3. 19 hundred-squares
4. 9 thousand-cubes
5. 1 quadruple digit addition worksheet
6. 5 felt pieces
7. 1 pencil and eraser

PRESENTATION:

1. Arrange the materials according to the picture above.

2. Say, "Today we are going to learn how to add dynamic quadruple digit numbers together."

3. Invite your child to read the first equation or you can also read it together, for e.g. 2535+1566=?

4. Point to the unit place value of the first addend in the worksheet and ask, "How many units are there?" Your child should answer 5.

5. Take 5 unit beads and place it on the felt piece to the right of the worksheet.

6. Next, point to the ten place value of the first addend and ask, "How many tens are there?" Your child should answer 3 tens.

7. Take 3 ten-bars from the left felt piece and place it on the right felt piece to the left of the selected unit beads.

8.  Next, point to the hundred place value of the first addend and ask, "How many hundreds are there?" Your child should answer 5 hundreds.

9. Take 5 hundred-squares from the left felt piece and place it on the right felt piece to the left of the selected ten-bars.

10.  Next, point to the thousand place value of the first addend and ask, "How many thousands are there?" Your child should answer 2 thousands.

11. Take 2 thousand-cubes from the left felt piece and place it on the right felt piece to the left of the selected hundred-bars.

12. Point to the second addend and repeat the process. Invite him to count out the unit beads, ten-bars hundred-squares and thousands-cubes from the second addend, i.e. 6 unit beads, 6 ten-bars, 5 hundred-squares and 1 thousand-cube and place them on the right felt piece below the first addend's collected beads.

13. Add the beads together by placing the second addend's collected beads together with the first addend's collected beads.

14. Invite your child to count the units and when he reaches the 10th unit, ask your child to exchange for 1 ten-bar, saying "10 units is the same as 1 ten-bar," and place the it with the other hundred-squares.

15. Ask your child to count the remainder units, i.e. 1 unit in this case, and write the number in the unit place on the worksheet.

16. Invite your child to count the ten-bars and when he reaches the 10th ten-bar, ask your child to exchange for 1 hundred-square, saying "10 ten-bars is the same as 1 hundred-square." and place the it with the other hundred-squares.

17. Ask your child to count the remainder ten-bars, i.e. 0 ten-bar in this case, and write the number in the ten place on the worksheet.

18. Invite your child to count the hundred-squares and when he reaches the 10th hundred-square, ask your child to exchange for 1 thousand-cube, saying "10 hundred-squares is the same as 1 thousand-cube," and place the it with the other thousand-cubes.

19. Ask your child to count the remainder hundred-squares, i.e. 1 hundred-square in this case, and write the number in the hundred place on the worksheet.

20. Ask your child to count the thousand-cubes, i.e. 4 thousand-cubes in this case, and write the number on the thousand place on the worksheet.

21. Read out the question and answer together, for e.g. 2535+1566=4101

22. Invite your child to try with the next equation.

VARIATIONS:

1. Other materials can be substituted for the color bead stairs, such as buttons, counters, etc..
2. Try with vertical presentation of the equation.

ADDITIONAL INFORMATION:



REFERENCES:

Montessori Activity: Dynamic Addition with Golden Beads - Hundred Place Value

1. Arrange the materials according to the picture above.
2. Say, "Today we are going to learn how to add dynamic triple digit numbers together."
3. Invite your child to read the first equation or you can also read it together, for e.g. 358+566=?

AGE: 5.5 years old (after your child has tried The Bank Game and Vertical Static Addition)

OBJECTIVE: To introduce the child to dynamic triple digit addition

MATERIALS:

1. 19 unit beads
2. 19 ten-bars
3. 9 hundred-squares
4. 1 triple digit addition worksheet
5. 4 felt pieces
6. 1 pencil and eraser

PRESENTATION:

1. Arrange the materials according to the picture above.

2. Say, "Today we are going to learn how to add dynamic triple digit numbers together."

3. Invite your child to read the first equation or you can also read it together, for e.g. 358+566=?

4. Point to the unit place value of the first addend in the worksheet and ask, "How many units are there?" Your child should answer 8.

5. Take 8 unit beads and place it on the felt piece to the right of the worksheet.

6. Next, point to the ten place value of the first addend and ask, "How many tens are there?" Your child should answer 5 tens.

7. Take 5 ten-bars from the left felt piece and place it on the right felt piece to the left of the selected unit beads.

8.  Next, point to the hundred place value of the first addend and ask, "How many hundreds are there?" Your child should answer 3 hundreds.

9. Take 3 hundred-squares from the left felt piece and place it on the right felt piece to the left of the selected ten-bars.

10. Point to the second addend and repeat the process. Invite him to count out the unit beads, ten-bars and hundred-squares from the second addend, i.e. 6 unit beads, 6 ten-bars, 5 hundred-squares and place them on the right felt piece below the first addend's collected beads.

11. Add the beads together by placing the second addend's collected beads together with the first addend's collected beads.

12. Invite your child to count the units and when he reaches the 10th unit, ask your child to exchange for 1 ten-bar, saying "10 units is the same as 1 ten-bar," and place the it with the other hundred-squares.

13. Ask your child to count the remainder units, i.e. 4 units in this case, and write the number in the unit place on the worksheet.

14. Invite your child to count the ten-bars and when he reaches the 10th ten-bar, ask your child to exchange for 1 hundred-square, saying "10 ten-bars is the same as 1 hundred-square," and place the it with the other hundred-squares.

15. Ask your child to count the remainder ten-bars, i.e. 2 ten-bars in this case, and write the number in the ten place on the worksheet.

16. Ask your child to count the hundred-squares, i.e. 9 hundred-squares in this case, and write the number on the hundred place on the worksheet.

17. Read out the question and answer together, for e.g. 358+566=924

18. Invite your child to try with the next equation.

VARIATIONS:

1. Other materials can be substituted for the color bead stairs, such as buttons, counters, etc..
2. Try with vertical presentation of the equation.

ADDITIONAL INFORMATION:



REFERENCES:



4. Point to the unit place value of the first addend in the worksheet and ask, "How many units are there?" Your child should answer 8.
5. Take 8 unit beads and place it on the felt piece to the right of the worksheet.



6. Next, point to the ten place value of the first addend and ask, "How many tens are there?" Your child should answer 5 tens.
7. Take 5 ten-bars from the left felt piece and place it on the right felt piece to the left of the selected unit beads.

8.  Next, point to the hundred place value of the first addend and ask, "How many hundreds are there?" Your child should answer 3 hundreds.
9. Take 3 hundred-squares from the left felt piece and place it on the right felt piece to the left of the selected ten-bars.

10. Point to the second addend and repeat the process. Invite him to count out the unit beads, ten-bars and hundred-squares from the second addend, i.e. 6 unit beads, 6 ten-bars, 5 hundred-squares and place them on the right felt piece below the first addend's collected beads.

11. Add the beads together by placing the second addend's collected beads together with the first addend's collected beads.

12. Invite your child to count the units and when he reaches the 10th unit, ask your child to exchange for 1 ten-bar, saying "10 units is the same as 1 ten-bar," and place the it with the other hundred-squares.

13. Ask your child to count the remainder units, i.e. 4 units in this case, and write the number in the unit place on the worksheet.

14. Invite your child to count the ten-bars and when he reaches the 10th ten-bar, ask your child to exchange for 1 hundred-square, saying "10 ten-bars is the same as 1 hundred-square," and place the it with the other hundred-squares.

15. Ask your child to count the remainder ten-bars, i.e. 2 ten-bars in this case, and write the number in the ten place on the worksheet.

16. Ask your child to count the hundred-squares, i.e. 9 hundred-squares in this case, and write the number on the hundred place on the worksheet.
17. Read out the question and answer together, for e.g. 358+566=924. If you haven't written the answer, do it now.

Montessori Activity: Dynamic Addition with Golden Beads - Ten Place Value

1. Arrange the materials according to the picture above.
2. Invite your child to read the first equation or you can also read it together, for e.g. 36+27=?

AGE: 5.5 years old

OBJECTIVE: To introduce the child to double digit dynamic addition

MATERIALS:

1. 19 unit beads
2. 9 ten-bars
3. 1 double digit addition worksheet
4. 3 felt pieces
5. 1 pencil and eraser

PRESENTATION:

1. Arrange the materials according to the picture above.

2. Invite your child to read the first equation or you can also read it together, for e.g. 36+27=?

3. Point to the unit place value of the first addend in the worksheet and ask, "How many units are there?" Your child should answer 6.

4. Take 6 unit beads and place it on the felt piece to the right of the worksheet.

5. Next, point to the ten place value of the first addend and ask, "How many tens are there?" Your child should answer 3 tens.

6. Take 3 ten-bars from the first felt piece and place it on the right felt piece to the left of the selected unit beads.

7. Point to the second addend and repeat the process. Invite him to count out the unit beads and ten-bars from the second addend, i.e. 7 unit beads and 2 ten-bars and place them on the second felt piece below the first addend's collected beads.

8. Add the beads together by placing the second addend's collected beads together with the first addend's collected beads.

9. Invite your child to count the unit beads and when he reaches the 10th unit, ask your child to exchange for 1 ten-bar, saying "10 units is the same as 1 ten-bar," and place the it with the other ten-bars.

10. Ask your child to count the remainder units, i.e. 3 units in this case, and write the number in the unit place on the worksheet.

11. Ask your child to count the ten-bars, i.e. 6 ten-bars in this case, and write the number on the ten place on the worksheet.

12. Read out the question and answer together, for e.g. 36+27=63

13. Invite your child to try with the next equation.

ADDITIONAL INFORMATION:



REFERENCES:

3. Point to the unit place value of the first addend in the worksheet and ask, "How many units are there?" Your child should answer 6.
4. Take 6 unit beads and place it on the felt piece to the right of the worksheet.

5. Next, point to the ten place value of the first addend and ask, "How many tens are there?" Your child should answer 3 tens.
6. Take 3 ten-bars from the first felt piece and place it on the right felt piece to the left of the selected unit beads.

7. Point to the second addend and repeat the process. Invite him to count out the unit beads and ten-bars from the second addend, i.e. 7 unit beads and

2 ten-bars and place them on the second felt piece below the first addend's collected beads.

8. Add the beads together by placing the second addend's collected beads together with the first addend's collected beads.

9. Invite your child to count the unit beads and when he reaches the 10th unit, ask your child to exchange for 1 ten-bar, saying "10 units is the same as 1 ten-bar," and place the it with the other ten-bars.

10. Ask your child to count the remainder units, i.e. 3 units in this case, and write the number in the unit place on the worksheet.
11. Ask your child to count the ten-bars, i.e. 6 ten-bars in this case, and write the number on the ten place on the worksheet.

12. Read out the question and answer together, for e.g. 36+27=63. If your child has not written the answer down, do it now.

Montessori Activity: The Exchange Game 3

AGE: 5.5 years old

OBJECTIVES:

To demonstrate that 10 units can be exchanged for 1 ten-bar, 10 ten-bars can be exchanged for 1 hundred-square and 10 hundred-squares can be exchanged for 1 thousand-cube.

MATERIALS:

1. Supply box containing golden bead material to serve as "The Bank"
2. 1 worksheet
3. 1 pencil and eraser
4. 1 mat

PRESENTATION:

1. Show your child a supply box containing the golden bead materials and say, "This is our Bank."

2. Point to the worksheet on the mat, say out the number and arrange the appropriate amount of golden beads according to the number stated in the worksheet.

3. Ask your child to count the unit beads on the mat into an empty bowl and when he reaches the 10th unit, ask your child to go to the "Bank" (the supply box) to exchange them for 1 ten-bar, saying "10 units can be exchanged for 1 ten-bar." and place them with the other ten-bars on the mat.

4. Repeat in the same manner until there are insufficient units to exchange 1 ten-bar.

5. Ask your child to count the remaining unit beads and write it down in the space provided in the worksheet.

6. Ask your child to count the ten-bars on the mat and when he reaches the 10th ten-bar, ask your child to go to the "Bank" to exchange them for 1 hundred-square, saying "10 ten-bars is the same as 1 hundred-square." and place them with the other hundred-squares on the mat.

7. Repeat in the same manner until there are insufficient ten-bars to exchange 1 hundred-square.

8. Ask your child to count the remaining ten-bars and write it down in the space provided in the worksheet.

9. Ask your child to count the hundred-squares on the mat and when he reaches the 10th hundred-square, ask your child to go to the "Bank" to exchange them for 1 thousand-cube "10 hundred-squares is the same as 1 thousand-cube." and place them with the other thousand-cubes on the mat.

10. Repeat in the same manner until there are insufficient hundred-squares to exchange 1 thousand-cube.

11. Ask your child to count the remaining hundred-squares and write it down in the space provided in the worksheet.

12. Ask your child to count the thousand-cubes and write it down in the space provided in the worksheet.

13. Ask your child to write the number again in the bottom of the worksheet and read it out loud together.

14. Show your child that it is very easy now to see how much you have in the bank after exchanging than before.

ADDITIONAL INFORMATION:

J tried this on 23 September 2014. He was able to do it, but a little careless at times.

REFERENCES:

Brilliant Minds Montessori

Brilliant Mind Montessori is available from Amazon: