Solving Complex Order of Operations Problems Using PEMDAS

Math with Mr. J

This educational video serves as the second installment in a series on the Order of Operations, specifically targeting 5th-grade mathematics standards. The narrator guides viewers through four increasingly complex problems that utilize the PEMDAS acronym (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Unlike the introductory video, this lesson tackles multi-step equations involving nested operations and the critical rule of solving multiplication/division and addition/subtraction from left to right when they appear together. The video focuses heavily on proper procedural fluency, demonstrating exactly how to write out each step of the solution to avoid errors. Key themes include the hierarchy of operations, the concept of implied multiplication (a number directly next to parentheses), and the importance of disciplined, line-by-line problem solving. The narrator explicitly addresses common pitfalls, such as the misconception that addition always comes before subtraction, reinforcing the equal priority of these inverse operations. For educators, this resource provides excellent modeling of mathematical thinking and procedural writing. It is particularly useful for differentiating instruction for students ready for more challenging arithmetic or for reviewing concepts before introducing algebraic expressions. The clear, step-by-step visual format allows teachers to pause the video before the solution is revealed, encouraging active participation and self-assessment in the classroom.