STANDARD ALGORITHMS YEAR 2, 3, 4 Readiness

1. 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. .

2. STANDARD ALGORITHMS • Add No Regrouping Slide 3 • Subtract No Regrouping Slide 4 • Add With Regrouping Slide 5 • Subtract With Regrouping Slide 6 • Multiply No Regrouping Slide 7 • Divide No Regrouping Slide 8 • Multiply With Regrouping Slide 9 • Divide With Regrouping Slide 10

3. 45 14 + + + 5 9

4. 26 - 13 - - 1 3

5. 47 + 15 1 2 + + 6 2

6. 40 - 15 3 1 - - 2 5

7. 22 X 3 x x 6 6

8. 3 69 2 3 ÷ ÷

9. 1 8 26 X 3 6 + x x 7 8

10. 3 642 2 1 4 1 ÷ ÷ ÷