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Q&A #494

Teachers' Lounge Discussion: Multiplication tables

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From: Leonito A. Fabian

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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