Mastering Order of Operations with Parentheses, Brackets, and Braces

Math with Mr. J

In this instructional math video, Mr. J guides viewers through the complexities of the Order of Operations (PEMDAS) with a specific focus on nested grouping symbols. The video breaks down how to handle mathematical expressions that contain parentheses, brackets, and braces simultaneously. Mr. J clarifies that while most students are familiar with parentheses, brackets and braces function identically as grouping symbols, and the key strategy is to always begin solving from the innermost set and work outward. The content focuses on two distinct examples that demonstrate increasing levels of difficulty. The first example solves a simple expression with brackets and parentheses, while the second example introduces braces and exponents to the mix, creating a multi-layered problem. Through a step-by-step walkthrough, the narrator demonstrates the importance of rewriting the equation after every single calculation to maintain accuracy and track progress, a crucial habit for algebraic thinking. This video is an excellent resource for upper elementary and middle school classrooms transitioning from basic arithmetic to pre-algebraic concepts. Teachers can use this video to introduce the hierarchy of grouping symbols or as a remediation tool for students struggling with multi-step problems. The clear, visual method of "funneling" down to a single answer provides a strong model for students to emulate in their own work, promoting organization and precision in mathematical problem-solving.