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Transcript
STANDARD ALGORITHMS
YEAR 2, 3, 4
Readiness
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 models
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 2, 3, 4.
* A separate PowerPoint presentation is available for the standard algorithms across years 4, 5, 6, 7.
* Another PowerPoint presentation is also available for standard fraction computations in addition, subtraction, multiplication and division.
STANDARD ALGORITHMS
1.
Add No Regrouping
Slide 3
2.
Subtract No Regrouping
Slide 4
3.
Add With Regrouping
Slide 5
4.
Subtract With Regrouping
Slide 6
5.
Multiply No Regrouping
Slide 7
6.
Divide No Regrouping
Slide 8
7.
Multiply With Regrouping
Slide 9
8.
Divide With Regrouping
Slide 10
45
+
+
+ 14
59
26
- 13
13
12
47
+
+
+ 15
62
31
40
- 15
25
22
X 3
66
x
x
23
3 69
÷
÷
6+1 8
26
x x
X 3
78
214
3 642
1
÷
÷
÷