Order of operations and algebraic expressions
LEARNING INTENTIONS
1. Understand the importance of following the correct order of operations in
mathematical expressions, including the use of brackets, indices, multiplication and
division (from left to right), and addition and subtraction (from left to right)
2. Apply the order of operations to correctly solve expressions that include a
combination of operations and brackets.
3. Recognise and correct common mistakes related to the order of operations to improve
problem-solving accuracy.
4. Develop confidence in evaluating expressions by practicing a variety of problems that
reinforce the correct order of operations.
SUCCESS CRITERIA
1. Correctly apply the order of operations in a series of practice problems, showing all
steps of the calculation process.
2. Solve complex expressions that include brackets, indoces, multiplication, division,
addition, and subtraction with accuracy.
3. Identify and correct errors in given expressions that have been solved incorrectly,
explaining the mistake and providing the correct solution.
4. Participate in class discussions about the order of operations, sharing strategies and
common challenges encountered when solving expressions.
When simplifying expressions that contain several terms, follow the order of operations
The order of operations is to:
• Simplify any expression inside grouping symbols
• Simplify any multiplication and division, working from left to right
• Simplify any addition and subtraction, working from left to right
LEARNING INTENTIONS
1. Understand the importance of following the correct order of operations in
mathematical expressions, including the use of brackets, indices, multiplication and
division (from left to right), and addition and subtraction (from left to right)
2. Apply the order of operations to correctly solve expressions that include a
combination of operations and brackets.
3. Recognise and correct common mistakes related to the order of operations to improve
problem-solving accuracy.
4. Develop confidence in evaluating expressions by practicing a variety of problems that
reinforce the correct order of operations.
SUCCESS CRITERIA
1. Correctly apply the order of operations in a series of practice problems, showing all
steps of the calculation process.
2. Solve complex expressions that include brackets, indoces, multiplication, division,
addition, and subtraction with accuracy.
3. Identify and correct errors in given expressions that have been solved incorrectly,
explaining the mistake and providing the correct solution.
4. Participate in class discussions about the order of operations, sharing strategies and
common challenges encountered when solving expressions.
When simplifying expressions that contain several terms, follow the order of operations
The order of operations is to:
• Simplify any expression inside grouping symbols
• Simplify any multiplication and division, working from left to right
• Simplify any addition and subtraction, working from left to right
