Standard Algorithm

The standard algorithm is introduced in grade 5 in Ontario, and should follow when:

– students understand the concept of division
– students can divide numbers in the hundreds by one digit divisors using a flexible method

When students use base 10 materials to explore division, they naturally illustrate the standard algorithm, working from left to right with the dividend.

If we look at a question like splitting 723 up into 3 pile with base 10: division1 standard div 1
Students tend to start with the hundreds, putting 2 hundreds pieces into each pile.  In the standard algorithm this is recorded up top in the hundreds spot, leaving 1 hundreds piece. division2 standard division 2
The single hundred piece needs to split up into tens, giving 12 tens to split up.  In the standard algorithm we ‘bring down’ the tens when it’s time to divide up the tens. division3 standard division 3
The tens are split up, 4 to each pile, recorded at the top of the standard algorithm in the tens spot.  The 12 pieces distributed are recorded, leaving no tens to divide up. division4  standard division 5
The 3 singles are split up, finishing the question. division5 standard division 6

 

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