STANDARD ALGORITHMS

1
STANDARD ALGORITHMS YEARS 5-8 Readiness In
NZMaths students are exposed to formal written
algorithms when ready. That is they need to have
sufficient conceptual development of the place
value knowledge required to understand the
algorithm structure and process. Algorithms An
algorithm is a set of rules for solving a maths
computation which, if done properly, will always
give a correct answer. While an algorithm is an
important aspect of mathematical knowledge and
skill, students need to recognise that they can
choose from mental computation, a written
algorithm or a mathematical tool such as a
calculator or abacus in solving a problem. There
are many algorithms for each of the four
processes and students, through exposure to
different models, will eventually adopt
strategies that best suit them. However, it is
appropriate for the most efficient algorithm
(i.e. standard algorithm) for each of the 4
processes to be a key element of any school
mathematics policy. This presentation provides
the structure and language for developing each
set of rules for the standard algorithms across
Years 5, 6, 7, 8. A separate PowerPoint
presentation is available for the standard
algorithms across years 3, 4, 5. Another
PowerPoint presentation is also available for
standard fraction computations in addition,
subtraction, multiplication and division.
2

• STANDARD ALGORITHMS Years 4-7
• Add Whole Numbers With Regrouping Slides 3-5
• Add Decimal Numbers With Regrouping Slides 6-8
• Subtract Whole Numbers With Regrouping Slides
  9-12
• Subtract Decimal Numbers With Regrouping Slides
  13-14
• Multiply Whole Numbers With Regrouping Slides
  15-18
• Multiply Decimal Numbers With Regrouping Slides
  19-22
• Divide Whole Numbers With Regrouping Slides 23-28
• Divide Decimal Numbers With Regrouping Slides
  29-32

3
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