Showing posts with label From 06 years old. Show all posts
Showing posts with label From 06 years old. Show all posts

Friday, 13 May 2016

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Montessori Activity: Multiplication Finger Working Chart 5 - The Blank Multiplication Chart


Age: From 6 years old

Objective(s): 

The memorization of the tables in multiplication. The various charts give the possibility of repetition, which helps to fix these in the memory of the child.

Materials:

1. The Montessori Multiplication Finger Working Charts 5
2. 1 box of multiplication equation slips.
3. 1 empty box (optional)
4. 1 box of answer tiles (optional)
5. A paper, pencil & eraser
6. 1 tray (optional)

Presentation 3: Multiplication Chart 5 - The Blank Multiplication Chart also called "The Bingo Chart"

1. Take out all of the tiles and place them in numerical order. If there is more than one of the same tile, place it on top of the other to make a stack. These should also be placed in lines of units, teens, 20’s, 30’s, etc…

2. Take an equation slip from the box and read it e.g. 4 x 6 = ?

3. Read and write down the equation on a piece of paper.

4. Place your right index finger on the blue 4 and your left index finger on the red 6.

5. As in Presentation 1, run your fingers to meet. Hold the spot with your left index finger and using your right hand, place the correct answer tile on the spot.

6. Write down the answer on the piece of paper 4 x 6 = 24 and show your child to check answer using the Control Chart 1 or Multiplication Finger Chart 3.

7. Invite your child to try.

Video Demonstration:


Pictorial Demonstration:



2. Take an equation slip from the box and read it e.g. 4 x 6 = ?


3. Read and write down the equation on a piece of paper.


4. Place your right index finger on the blue 4 (denoted by the pencil)


your left index finger on the red 6 (denoted by the pencil)


5. As in Presentation 1, run your fingers to meet. Hold the spot with your left index finger and using your right hand, place the correct answer tile on the spot.


6. Write down the answer on the piece of paper 4 x 6 = 24 and show your child to check answer using the Control Chart 1 or Multiplication Finger Chart 3.

Additional Information:

References:

http://www.montessorialbum.com/montessori/index.php?title=Blank_Multiplication_Chart
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Montessori Activity: Multiplication Finger Working Chart 4


Age: From 6 years old

Objective(s): 

The memorization of the tables in multiplication. The various charts give the possibility of repetition, which helps to fix these in the memory of the child.

Materials:

1. The Montessori Multiplication Finger Working Chart 4
2. 1 box of multiplication equation slips.
3. 1 empty box (optional)
4. A paper, pencil & eraser
5. 1 tray (optional)

Presentation 2: Multiplication Chart 4 - Finger chart with duplicate answers removed

1. Choose an equation slip from the slip box, read and write it on a piece of paper, e.g. 3 x 10 = ?

2. Read and write down the equation on the piece of paper.

3. Place your right index finger on the 3 and place your left index finger on the 10.

4. Move your right index finger out as far as it can go to the last number on its row.

5. Move your right finger down to the same row as the left finger.

6. Run your left index finger to the right to meet your right index finger.

7. Write the answer on the piece of paper and read it.

8. Place the used equation slip into the empty box.

9. Choose another equation slip from the slip box and repeat in similar manner from step 1-7.

10. Invite your child to try.

Pictorial Demonstration:



1. Choose an equation slip from the slip box, read and write it on a piece of paper, e.g. 3 x 10 = ?


2. Read and write down the equation on the piece of paper.


3. Place your right index finger on the 3 (denoted by the pencil).

 

4. Move your right index finger out as far as it can go to the last number on its row and


place your left index finger on the 10.


5. Move your right finger down (denoted by the pencil) to the same row as the left finger. (denoted by the eraser)


6. Run your left index finger (denoted by the eraser) to the right to meet your right index finger (denoted by the pencil).


7. Write the answer on the piece of paper and read it.

Additional Information:


References:

http://www.infomontessori.com/mathematics/tables-of-arithmetic-multiplication-charts.htm
http://www.montessorialbum.com/montessori/index.php?title=Multiplication_Finger_Chart_2
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Montessori Activity: Multiplication Finger Working Chart 3


Age: From 6 years old

Objective(s): 

The memorization of the tables in multiplication. The various charts give the possibility of repetition, which helps to fix these in the memory of the child.

Materials:

1. The Montessori Multiplication Finger Working Charts 3
2. 1 box of multiplication equation slips.
3. 1 empty box
4. A paper, pencil & eraser
5. 1 tray

Presentation 1: Multiplication Chart 3 - Finger chart with all the products from 1-10

1. Choose an equation slip from the box, read and write it on the piece of paper, e.g. 5 x 4 = ?

2. Place your right index finger on the blue 5 at the top of the board.

3. Place your left index finger on the red 4 on the side of the board.

4. Run your right finger down and your left finger to the right until the two fingers meet.


5. Say, “5 x 4 is 20.”

6. Write the answer on the piece of paper and read it.

7. Place the used equation slip into the empty box.

8. Choose another equation slip from the slip box and repeat in similar manner from step 1-7.

9. Invite your child to try.

Video Demonstration:


Pictorial Demonstration:



1. Choose an equation slip from the box, read and write it on the piece of paper, e.g. 5 x 4 = ?


2. Place your right index finger on the blue 5 at the top of the board.

3. Place your left index finger on the red 4 on the side of the board.

4. Run your right finger down and your left finger to the right until the two fingers meet.


5. Say, “5 x 4 is 20.”


6. Write the answer on the piece of paper and read it.

Additional Information:

J tried this on 28 May 2016 (7Y2M23D). At first, he did the equations for 2 time table and 3 time tables and got all the answers correct. We then went on to 4 time table, and I taught him to check the answer on the chart only if he got the answer wrong. Thereafter, he didn't bother to try the equation, going to check the chart for the correct answer straight away. He said that it was fun.

References:

http://www.infomontessori.com/mathematics/tables-of-arithmetic-multiplication-charts.htm
http://www.montessorialbum.com/montessori/index.php?title=Multiplication_Finger_Chart_1

28 May 2016 (7Y2M23D)

28 May 2016 (7Y2M23D)

28 May 2016 (7Y2M23D)

Sunday, 3 April 2016

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Montessori Activity: Pythagoras Board for Multiplication

Age: 6-9 years old

Objective(s):

1. To reinforce the concept of multiplication
2. A visual way for memorization of the time tables

Materials:

Pythagoras Board with number tiles 1-100 with control chart

Presentation:

Video Demonstration:

Additional Information:

The visual form of the Pythagoras Board is the Montessori Table of Pythagoras (also  Sensorial Decanomial).

References:
http://thepassionatelearner.com/2014/12/08/pythagoras-board-an-engaging-way-to-learn-multiplication/

http://highschoolmathadventures.blogspot.dk/2013/08/pythagorean-theorem-board-game.html

Saturday, 26 December 2015

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Teaching Fractions with Toy Pizza


Age: From 6 years old

Materials:

1. 1 toy pizza
2. 1 toy pizza cutter (optional)
3. 1 set of worksheets (see pictures below)
4. 1 tray

Presentation 1:

1. Show your child the whole pizza, explain that it is cut into equal size of 6 pieces. Therefore, we call it 6/6. Show the card 6/6.

2. Empty the tray of pizza.

3. Put 1 piece of pizza in the tray, explain to your child that 1 piece is the same as 1/6, and show the card 1/6.

4. Add 1 more piece of pizza into the tray, explain that we call 2 pieces as 2/6 and show the card 2/6.

5. Repeat in a similar manner for 3/6, 4/6 and 6/6.

6. Finally add back the 6th piece, explain again that 6/6 is also called 1 whole. This means that we cut 1 whole pizza into 6 pieces.

7. Invite your child to match the pizza pieces and the cards himself.

Presentation 2:

1. After your child has understood the concept of fraction in presentation 1, show presentation 2.

2. Explain that 6/6 = 1 whole. Show the whole pizza of 6 pieces.

3. Empty the tray of pizza.

4. Place 2 pieces of pizza into the tray and show the card 2/6 = 1/3. Divide the pizza into 3 sets of 2 to illustrate 1/3 part of the pizza.

5. Repeat similarly to illustrate the concept of 3/6 = 1/2, and 4/6 = 2/3.

6. Finally add back the 6th piece, explain again that 6/6 is also called 1 whole. This means that we cut 1 whole pizza into 6 pieces.

7. Invite your child to match the pizza pieces and the cards himself.

Video Demonstration:


Additional Information:

Our Little FECS has been playing with this toy since he was 2 years old. Now he can use it to learn about Fractions :-) You can also take the opportunity to practice with your child when you are eating real pizza :-)

This toy pizza is available from Amazon:


Presentation 1:
1. Show your child the whole pizza, explain that it is cut into equal size of 6 pieces. Therefore, we call it 6/6. Show the card 6/6.

2. Empty the tray of pizza.

3. Put 1 piece of pizza in the tray, explain to your child that 1 piece is the same as 1/6, and show the card 1/6.

4. Add 1 more piece of pizza into the tray, explain that we call 2 pieces out of 6 pieces as 2/6 and show the card 2/6.

5. Add 1 more piece of pizza into the tray, explain that we call 3 pieces out of 6 pieces as 3/6 and show the card 3/6.

6. Add 1 more piece of pizza into the tray, explain that we call 4 pieces out of 6 pieces as 4/6 and show the card 4/6.

6. Add 1 more piece of pizza into the tray, explain that we call 5 pieces out of 6 pieces as 5/6 and show the card 5/6.

6. Finally add back the 6th piece, explain again that 6/6 is also called 1 whole. This means that we cut 1 whole pizza into 6 pieces.
7. Invite your child to match the pizza pieces and the cards himself.

Presentation 2:

1. After your child has understood the concept of fraction in presentation 1, show presentation 2.
2. Explain that 6/6 = 1 whole. Show the whole pizza of 6 pieces.
3. Empty the tray of pizza.

4. Place 2 pieces of pizza into the tray and show the card 2/6 is the same as 1/3. Divide the pizza into 3 sets of 2 to illustrate 1/3 part of the pizza.

5. Place 3 pieces of pizza into the tray and show the card 3/6 is the same as 1/2. Divide the pizza into 2 sets of 3 to illustrate 1/2 part of the pizza.

6. Place 4 pieces of pizza into the tray and show the card 4/6 is the same as 2/3. Divide the pizza into 3 sets of 2 to illustrate 2/3 part of the pizza.

7. Finally add back the 6th piece, explain again that 6/6 is also called 1 whole. This means that we cut 1 whole pizza into 6 pieces.

8. Invite your child to match the pizza pieces and the cards himself.
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Building Square Numbers




Age: From 6 years old

Materials:
1. 1 set of LEGO bricks as shown above.
2. 1 worksheet
3. 1 tray
4. 1 ruler

Presentation:
1. Arrange the materials as shown.

2. Explain that square is simply 4-sided figure with the same number on each side, and they will always end up looking square-shape. For example, 2 x 2 = 4, which is also known as 2 square.

For example, 
3+3+3 = 
3 x 3 = 
3 square = 
9

3. Explain that the length of each side is always the same. 

4. Invite your child to measure the length of each side with a ruler.

References:

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Addition Fraction with LEGO


AGE: 6 years

OBJECTIVE(S):
  1. To demonstrate how a whole may be divided into parts. 
  2. To prepare for working with the fractional insets. 
  3. To prepare for working with the abstract notation of fractions. 
MATERIALS:
  1. 4 sets of LEGO bricks (1 LEGO brick is a whole, 1 is divided into halves, 1 is divided into fourths, 1 is divided into eighths)
  2. 1 worksheet with the following written: 1 whole, 1/2, 1/4 and 1/8
  3. 1 butter knife
  4. 1 tray
PRESENTATION:
  1. Place 1/4 brick on the worksheet.
  2. Place 3/4 brick on the worksheet.
  3. Put them together on the left of the equation, saying "This is 1/4 + 3/4..."
  4. Place four 1/4 bricks, and say, "...which is equal to 4/4."
  5. Place 1 whole brick and say, "4/4 is the same as 1 whole."
VIDEO DEMONSTRATION:


ADDITIONAL INFORMATION:

J tried this on 27 December 2015 (6Y8M22D). He loved writing the fractions down. It took some time to explain this problem sum to him, but when I varied it to 2/4 + 2/4, he got a little confused. So I need to repeat this lesson at a later date.

0. Prepare your materials

1. Place 1/4 brick on the worksheet.

2. Place 3/4 brick on the worksheet.

3. Put them together on the left of the equation, saying "This is 1/4 + 3/4."

4. Place four 1/4 bricks, and say, "Which is equal to 4/4."

5. Place 1 whole brick and say, "4/4 is the same as 1 whole."

27 December 2015 (6Y8M22D)
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Teaching Fractions with an Apple


AGE: 6 years

OBJECTIVE(S):
  1. To demonstrate how a whole may be divided into parts. 
  2. To prepare for working with the fractional insets. 
  3. To prepare for working with the abstract notation of fractions. 
MATERIALS:
  1. 2 apples
  2. 1 worksheet with the following written: 1 whole, 1/2, 1/4 and 1/8
  3. 1 knife
  4. 1 tray
PRESENTATION:
  1. Take the whole apple and ask your child what it is. Your child will say, it is an apple. Tell him that it is a whole apple and place it on the worksheet.
  2. Take another apple, invite your child to cut it into half, and say, "This is one half." 
  3. Place it on the worksheet.
  4. Invite your child to cut the apple into 4 pieces and say, “This is one fourth."
  5. Place it on the worksheet.
  6. Cut the apple into 8 pieces and say, "This is one eight." 
  7. Give three period lesson to find if the child has the concept. 
ADDITIONAL INFORMATION:

At dinner tonight, I took the opportunity to introduce J to fraction. I showed J an apple, and we cut it into 1/2. 1/4 and 1/8. He could answer half and one quarter, but could not described one eight. We also did the same with "æbleskriver," a Danish dessert.




We also tried it with the Danish apple desert during dinner today.

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