Grade 6Mathmedium
Number Detective Challenge
Number Detective Challenge — Order of Operations worksheet for Grade 6.
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What Your Child Will Learn
- Apply PEMDAS rules to evaluate numerical expressions containing parentheses, exponents, multiplication, division, addition, and subtraction in the Number Detective Challenge.
- Identify the correct sequence of operations when solving medium-difficulty expressions with mixed operations for Grade 6.
- Solve detective-themed problems by performing multiplication and division left to right before addition and subtraction.
- Verify solutions to order-of-operations expressions by checking each step against PEMDAS in worksheet problems.
How to Use This Worksheet
- Step 1: Read the Number Detective Challenge problem and underline all parentheses and exponents as the first clues to investigate.
- Step 2: Solve inside parentheses, then calculate any exponents before moving to the next operations.
- Step 3: Complete multiplication and division from left to right, then finish with addition and subtraction from left to right.
- Step 4: Write the final answer and double-check by re-entering it into the original expression to confirm it matches.
Tips for Parents & Teachers
Watch for students performing operations strictly left to right and ignoring PEMDAS; have them label each step with P-E-M-D-A-S on the Number Detective Challenge page.
Address the common error of forgetting exponents by circling them first before solving any other part of the expression.
Remind learners that multiplication and division share equal priority, so they must work left to right rather than always doing multiplication before division.
Frequently Asked Questions
Why must Grade 6 students follow a specific order when solving expressions with multiple operations?
Following PEMDAS ensures everyone gets the same correct answer; without it, the same expression could produce many different results in the Number Detective Challenge.
What should students do first when an expression has parentheses and exponents?
They should solve inside the parentheses first, then calculate the exponents, before addressing multiplication or division.
How do students handle multiplication and division when both appear in the same expression?
They perform whichever operation comes first when reading left to right, since both have the same priority level.
What is a frequent mistake when solving medium-difficulty order-of-operations problems at Grade 6?
Students often add or subtract before finishing all multiplication and division, which changes the value of the expression.
How can parents help their child check an answer on the Number Detective Challenge worksheet?
Ask the student to substitute the final answer back into the original expression and re-solve using PEMDAS to see if it produces the same result.
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