GEMS is the new PEMDAS - Top Floor Teachers

Join us on the Top Floor!

We're Joe and Quyen and we can't wait to share all things teaching with you. By signing up, you will be first in line when we share new ideas and resources. Can't wait to meet you!

    We respect your privacy. Unsubscribe at any time and we can still be friends.

    GEMS is the new PEMDAS

    When we both moved to 5th grade, one of our team members shared with us the idea of using GEMS rather than PEMDAS for Order of Operations and simplifying expressions. Our minds were blown! It was so much more effective. Here's why:

    We all probably grew up learning the common acronym for order of operations: PEMDAS or "Please Excuse My Dear Aunt Sally" or "Parenthesis, Exponents, Multiply, Divide, Add, Subtract". Although it does help remember the order, we found that our students were confused because they would follow the acronym too closely forgetting that you multiply and divide and add and subtract going from left to right. Also, they would get confused if they saw brackets or other types of groupings. It seemed like a common mistake that they forgot the left to right groupings.

    So, in comes GEMS! GEMS stands for "Groupings, Exponents, Multiply/Divide, Subtract/Add". Why do we like it better?

    The G stands for groupings so it includes parentheses, brackets, braces, and fraction bars.The E stands for exponents just like in the old PEMDAS acronym.
    The M stands for both multiplication and division, in order from left to right.
    And the S stands fro subtraction and addition, in order from left to right.

    By grouping the M/D and A/S into single letters, it solidifies the idea that either operation can be performed first. It depends solely on which comes first in the expression.

    We love incorporating music into our instruction, but we couldn't find any songs online using the GEMS acronym.  When in doubt, create your own!  Feel free to use this fun song with your class! Click the image for a printable file.


    1. Bihar BSEB Board 10th Model Paper 2021 – Bihar School Examination Board (BSEB) has released latest question paper. If you want to download all the subject of BSEB Board 10th Model Paper 2021. You may download by given link below.BSEB 10th Model Paper 2021.If you want to get all the update of BSEB Board then you may visit our site regularly.BSEB 10th Model Paper 2021 Bihar School Education Board (BSEB) has released the Bihar Board Model Paper PDFs 2020-21 for Matric (Class 10) and Intermediath Previous Question Paper Aspirants Of Class 10th Can Easily Understand the Ratio of the Easy and Diffsy and Difficult Question Asked From Each Unit of the Subject.

    2. Casino Games Online with Bonus Codes - DRMCD
      Casino Game 과천 출장안마 Provider 광주광역 출장마사지 Review · 1. Jackpot 6000. Casino Game Provider Review · 2. Slots Empire. Casino Game Provider Review · 3. 제주 출장안마 Gonzo's 논산 출장안마 Quest. 창원 출장안마 Slot


    Back to Top