ACMNA134: Explore the use of brackets and order of operations to write number sentences

Learning intentions:
  • Understand the use of brackets and order of operations in writing number sentences.
  • Understand the importance of using these conventions to write unambiguous and mathematically correct expressions.
Success criteria:
  • Students can accurately use brackets and order of operations in writing number sentences.
  • Students can use appropriate conventions, such as using parentheses for grouping and following the order of operations (PEMDAS), to write unambiguous and mathematically correct expressions.
  • Students can use appropriate digital technologies, such as a calculator or a spreadsheet, to write and evaluate number sentences.
  • Students can interpret the results of their work in the context of the problem and determine if the answer is reasonable.
  • Students can explain their reasoning and solve problems involving the use of brackets and order of operations in a logical and organised way.

PEMDAS

PEMDAS is a mnemonic acronym that stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. It is a set of rules that dictate the order in which arithmetic operations should be performed. 

Level 1:

  1. Simplify the expression: 2 + 3 * 4
  2. Simplify the expression: 2 * (3 + 4)
  3. Simplify the expression: 8 - 3 * 2 + 1
  4. Simplify the expression: (2 + 3) * 4 - 6
  5. Simplify the expression: 10 / 2 + 8 * 3
  6. Simplify the expression: (4 + 6) / 2 * 5
  7. Simplify the expression: 8 * (3 + 2) - 4 / 2
  8. Simplify the expression: 4 + 2 * (5 - 3)
  9. Simplify the expression: (2 + 3) * (4 - 1)
  10. Simplify the expression: 6 * 3 / (2 + 1)
  11. Simplify the expression: 2 * (5 + 3 * (4 - 1))
  12. Simplify the expression: (5 + 3) / (2 * (4 - 1))
  13. Simplify the expression: 3 + 4 * 5 - (2 + 1)
  14. Simplify the expression: (4 + 2) * (3 + 5) - 7
  15. Simplify the expression: 8 - 2 * (5 - 3) + 1
  16. Simplify the expression: (2 + 3) * 4 + (6 - 5)
  17. Simplify the expression: 10 / 2 * 8 + 3
  18. Simplify the expression: (4 + 6) / 2 + 5 * 3
  19. Simplify the expression: 8 * 3 + (2 + 1) - 4 / 2
  20. Simplify the expression: 4 + 2 * 5 - 3 * (4 - 1)

Level 2

  1. Simplify the expression: 2 + 3 * (4 + 5) - 6
  2. Simplify the expression: 2 * 3 + 4 / (5 - 1)
  3. Simplify the expression: 8 - 3 * (2 + 1) + 4
  4. Simplify the expression: (2 + 3) * 4 - 6 / 2
  5. Simplify the expression: 10 / 2 + 8 * (3 - 1)
  6. Simplify the expression: (4 + 6) / 2 * (5 - 3)
  7. Simplify the expression: 8 * 3 + 2 - 4 / (5 - 1)
  8. Simplify the expression: 4 + 2 * (5 - 3) / 2
  9. Simplify the expression: (2 + 3) * (4 - 1) / 2
  10. Simplify the expression: 6 * 3 / (2 + 1) + 4
  11. Simplify the expression: 2 * (5 + 3 * (4 - 1)) / 3
  12. Simplify the expression: (5 + 3) / (2 * (4 - 1)) + 1
  13. Simplify the expression: 3 + 4 * 5 - (2 + 1) / 4
  14. Simplify the expression: (4 + 2) * (3 + 5) - 7 * (2 - 1)
  15. Simplify the expression: 8 - 2 * (5 - 3) + 1 / 2
  16. Simplify the expression: (2 + 3) * 4 + (6 - 5) / 3
  17. Simplify the expression: 10 / 2 * 8 + 3 - 1
  18. Simplify the expression: (4 + 6) / 2 + 5 * (3 - 1)
  19. Simplify the expression: 8 * 3 + (2 + 1) - 4 / 2 * 3
  20. Simplify the expression: 4 + 2 * 5 - 3 * (4 - 1) / 2