From: Leonito A. Fabian <fabianleonnito@yahoo.com>
To: Teacher2Teacher Public Discussion
Date: 2013010205:35:35
Subject: LEARN THE 9X9 MULTIPLICATION TABLE WITH MINIMAL OR WITHOUT MEMORIZATION

	
TO: ALL T2T SUBSCRIBERS

     LET US TEACH OUR CHILDREN MULTIPLICATION FACTS WITHOUT ASKING
THEM TO MEMORIZE THE WHOLE/ENTIRE 9X9 TABLE.


     HERE IS THE TABLE: 
          1X1   2X1   3X1   4X1   5X1   6X1   7X1   8X1   9X1
          1X2   2X2   3X2   4X2   5X2   6X2   7X2   8X2   9X2
          1X3   2X3   3X3   4X3   5X3   6X3   7X3   8X3   9X3
          1X4   2X4   3X4   4X4   5X4   6X4   7X4   8X4   9X4
          1X5   2X5   3X5   4X5   5X5   6X5   7X5   8X5   9X5
          1X6   2X6   3X6   4X6   5X6   6X6   7X6   8X6   9X6
          1X7   2X7   3X7   4X7   5X7   6X7   7X7   8X7   9X7
          1X8   2X8   3X8   4X8   5X8   6X8   7X8   8X8   9X8
          1X9   2X9   3X9   4X9   5X9   6X9   7X9   8X9   9X9


----------------------------------------------------------------------
      STEP ONE -  TABLES 1, 2, 3, 4 AND 5 ARE TAUGHT THROUGH     
                  'SKIP COUNTING'.   NO NEED TO MEMORIZE.

      HERE IS THE REDUCED TABLE:
           x     x     x     x     x     6X1   7X1   8X1   9X1       
           x     x     x     x     x     6X2   7X2   8X2   9X2
           x     x     x     x     x     6X3   7X3   8X3   9X3
           x     x     x     x     x     6X4   7X4   8X4   9X4
           x     x     x     x     x     6X5   7X5   8X5   9X5
           x     x     x     x     x     6X6   7X6   8X6   9X6
           x     x     x     x     x     6X7   7X7   8X7   9X7
           x     x     x     x     x     6X8   7X8   8X8   9X8
           x     x     x     x     x     6X9   7X9   8X9   9X9


-----------------------------------------------------------------------
      STEP TWO -  TEACH THE 'COMMUTATIVE PROPERTY'OF MULTIPLICATION.
                  REDUCE FURTHER THE REMAINING TABLES 6, 7, 8 AND 9.
                  ELIMINATE THE UPPER PART FROM MULTIPLIERS 1 TO 5.

      HERE IS THE FURTHER REDUCED TABLE:
           x     x     x     x     x      x     x     x     x
           x     x     x     x     x      x     x     x     x
           x     x     x     x     x      x     x     x     x
           x     x     x     x     x      x     x     x     x
           x     x     x     x     x      x     x     x     x
           x     x     x     x     x     6X6   7X6   8X6   9X6
           x     x     x     x     x     6X7   7X7   8X7   9X7
           x     x     x     x     x     6X8   7X8   8X8   9X8
           x     x     x     x     x     6X9   7X9   8X9   9X9


-----------------------------------------------------------------------
       STEP THREE - APPLY ONCE MORE THE 'COMMUTATIVE PROPERTY OF 
                    MULTIPLICATION TO ONCE AGAIN REDUCE FURTHER
                    THE REMAINING HALF OF TABLES 6, 7, 8 AND 9.

       HERE IS THE FINAL TABLE:
           x     x     x     x     x      x     x     x     x
           x     x     x     x     x      x     x     x     x
           x     x     x     x     x      x     x     x     x
           x     x     x     x     x      x     x     x     x
           x     x     x     x     x      x     x     x     x
           x     x     x     x     x     6X6    x     x     x
           x     x     x     x     x     6X7   7X7    x     x
           x     x     x     x     x     6X8   7X8   8X8    x
           x     x     x     x     x     6X9   7X9   8X9   9X9


---------------------------------------------------------------------

       IN THREE SIMPLE STEPS, WE HAVE TREMENDOUSLY REDUCED THE 9 X 9
       MULTIPLICATION FACTS FROM 81 TO 36(STEP ONE)THEN FURTHER TO 
       16 (STEP TWO)AND FINALLY TO ONLY 10 FACTS (STEP THREE).

       THESE REMAINING 10 MULTIPLICATION FACTS MAY BE TAUGHT AND 
       LEARNED EITHER IN ONE OF THE FOLLOWING WAYS/TECHNIQUES:
            1. MEMORIZATION,
            2. FINGER MULTIPLICATION,
            3. REFERENCE NUBER 10,
            4. FOLD AND READ METHOD AND
            5. ABACUS MULTIPLICATION.

       

    
                   

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