A quick review of P.E.M.D.A.S. (PEMDAS) reminds us that it is an acronym for the order of operations rules. Namely, Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Let’s take a deeper look at the first problem on the board. It contains Parentheses, Brackets, Multiplication, and Addition. At first glance, it appears very complex. Once the foundation of PEMDAS is learned and easily accessible in a student’s skill set, it is quite easy.
Solving this problem requires pattern recognition skills as well as a stable PEMDAS foundation. Pattern recognition asks that we identify the PEMDAS terms and operation(s) used. To start, we must analyze the equation and apply the acronym letters to each term in the problem. We start the identification with the two Addition terms:
Identification
- Addition terms: 8+ and 4+2,
- Multiplication terms: 3 and bracket answer bracket,
- Parentheses terms: (4+2) and bracket answer bracket
Concept
The concept of (PEMDAS) in order of operations requires solving the Parentheses as the first step. That gives us the first answer (4+2)=6. Next, because Brackets are considered Parentheses, we move to the left and must solve the second addition term inside the brackets: 8+6 =14 which replaces the word “answer” inside the brackets. Finally, we solve the Multiplication terms: 3[14]=42. Brackets are another way to indicate multiplication. Our final answer is 42. At first glance, I thought it was 42. On a closer look, I realized the student writing the answer is not vertically gifted and the writing was higher than he could reach.
Summary
In summary, we started the solution with identification of the terms which allows connection to PEMDAS. Learning the practice of pattern recognition is critical for success in more advanced math classes. If a student struggles, it could mean they have unstable pattern recognition skills and adding this practice exercise resource to their daily strategy will raise their confidence. These resources will help every student stabilize their pattern recognition skills. Let’s give them the help they need. Until next time, dream BIG and let your D.R.E.A.M.S. take you there!
More to explore: Problem #2
Learning Unleashed 