Understanding the Order of Operations in Mathematics

Explore the concept of the order of operations in mathematics through explicit teaching examples provided by the NSW Department of Education. Learn about the importance of following the correct sequence of operations, such as multiplication before addition and evaluating expressions with powers. Practice your skills with guided examples and test your knowledge with interactive questions and solutions.

• Mathematics
• Operations
• Education
• NSW Department

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Uploaded on Oct 03, 2024 | 0 Views

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1. The order of things Explicit teaching NSW Department of Education

2. The order of things (1) Multiplication before addition 5 2 + 2 3 = 16

3. The order of things (2) Powers first 2 42= 32

4. The order of things (3) Order of operations example 1 2 4 + 6 3 = 8 + 18 = 26

5. The order of things (4) Which part of the question does each rectangle represent? Order of operations example 1 2 4 + 6 3 = 8 + 18 = 26 Which operations have been completed first?

6. The order of things (5) Your turn question 1 5 3 + 2 4

7. The order of things (6) Your turn solution 1 5 3 + 2 4 = 15 + 8 = 23

8. The order of things (7) Order of operations example 2 24 4 2 3 3 = 6 2 9 = 12 9 = 3

9. The order of things (8) Order of operations example 2 Which part of the expression has been completed first? 24 4 2 3 3 = 6 2 9 = 12 9 = 3 What would be the result if we evaluated this from left to right?

10. The order of things (9) Your turn question 2 32 8 + 2 4 9 3

11. The order of things (10) Your turn solution 2 32 8 + 2 4 9 3 = 4 + 8 3 = 12 3 = 9

12. The order of things (11) Order of operations example 3 5 22+ 10 2 = 5 4 + 10 2 = 20 + 5 = 25

13. The order of things (12) Order of operations example 3 5 22+ 10 2 = 5 4 + 10 2 = 20 + 5 Which part of the expression has been completed first? = 25 What would be the result if we evaluated this from left to right?

14. The order of things (13) Your turn question 3 3 42 16 2

15. The order of things (14) Your turn solution 3 3 42 16 2 = 3 16 16 2 = 48 8 = 40