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Session W8                    Yeap Ban
Har
Whole Numbers   www.banhar.blogspot.com
Learning & Reviewing
          Basic Facts
Some ways to help students acquire and consolidate basic
                        facts.
2x4=8
3x4=8+4
2x4=8
4x4=8+8
2x4=8
5 x 4 = 20
7 x 8 = 8 + 20
10 x 4 = 40
 9 x 4 = 40 – 4
W8 Whole Number Division and Multiplication
Da Qiao Primary School, Singapore
She has 6.   The product is
What do I         48.
  have?
Multiplication & Division of
      Large Numbers
Some ways to help students make sense of computation
                      algorithm
Find the value of 34 x 2
.                          34
                   34      x2
                   x2      08
                   60      60
                   +8      68
                   68
Find the value of 34 x 3
.                        34   34
                       x3     x3
                       90     12
                       12     90
The concrete and the visuals
help develop meaning i.e.
multiplying the tens and ones
separately.
34
                    x3
                    90
                    12

The expanded notation
emphasizes 34 as 3 tens and
4 ones which are then dealt
with separately.
Quantities with different
‘nouns’ are dealt with
separately.
Find the value of 28 x 32 .

To see 28 as 20 and
8 and 32 as 30 and
2.

This leads to the
idea of (a + b)(c +
d).
W8 Whole Number Division and Multiplication
x
                               Use the digits 0 to 9 no more than once
                               to make a correct multiplication
                               sentence.




The class had four solutions
32 x 15 = 480
12 x 65 = 780
12 x 48 = 576
39 x 12 = 468

12 x 43 did not work.
12 can be seen as 10 and 2.
Thus, 12 x 65 can also be computed as the sum of 10 x 65 and 2
x 65 i.e. 650 + 130.

12 can be seen as 10 and 2.
Thus, 39 x 12 can also be computed as the sum of 39 x 10 and
39 x 2 i.e. 390 + 78.

Alternatively, 40 x 12 can be used to compute 39 x 12.

The use of number bonds to compute large numbers gives
students opportunities to develop their number sense.
Find the value of 7081      3.




                         Using number bonds, 7081 is
                         6000, 900, 180 and 1. Each is
                         then divided by three.

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W8 Whole Number Division and Multiplication

  • 1. Session W8 Yeap Ban Har Whole Numbers www.banhar.blogspot.com
  • 2. Learning & Reviewing Basic Facts Some ways to help students acquire and consolidate basic facts.
  • 5. 2x4=8 5 x 4 = 20 7 x 8 = 8 + 20
  • 6. 10 x 4 = 40 9 x 4 = 40 – 4
  • 8. Da Qiao Primary School, Singapore
  • 9. She has 6. The product is What do I 48. have?
  • 10. Multiplication & Division of Large Numbers Some ways to help students make sense of computation algorithm
  • 11. Find the value of 34 x 2 . 34 34 x2 x2 08 60 60 +8 68 68
  • 12. Find the value of 34 x 3 . 34 34 x3 x3 90 12 12 90
  • 13. The concrete and the visuals help develop meaning i.e. multiplying the tens and ones separately.
  • 14. 34 x3 90 12 The expanded notation emphasizes 34 as 3 tens and 4 ones which are then dealt with separately.
  • 15. Quantities with different ‘nouns’ are dealt with separately.
  • 16. Find the value of 28 x 32 . To see 28 as 20 and 8 and 32 as 30 and 2. This leads to the idea of (a + b)(c + d).
  • 18. x Use the digits 0 to 9 no more than once to make a correct multiplication sentence. The class had four solutions 32 x 15 = 480 12 x 65 = 780 12 x 48 = 576 39 x 12 = 468 12 x 43 did not work.
  • 19. 12 can be seen as 10 and 2. Thus, 12 x 65 can also be computed as the sum of 10 x 65 and 2 x 65 i.e. 650 + 130. 12 can be seen as 10 and 2. Thus, 39 x 12 can also be computed as the sum of 39 x 10 and 39 x 2 i.e. 390 + 78. Alternatively, 40 x 12 can be used to compute 39 x 12. The use of number bonds to compute large numbers gives students opportunities to develop their number sense.
  • 20. Find the value of 7081 3. Using number bonds, 7081 is 6000, 900, 180 and 1. Each is then divided by three.