Visually demonstrate why the order of operations process is needed. Have a student complete an assigned math problem on the chalk board -- minus parenthesis -- working their problem out from the left equation to the right. Have another student solve the same problem any way they choose, and yet a different student work the same problem -- with parenthesis -- based upon the order of operations sequence. Emphasize the fact that different solutions were achieved based upon the method used by each student, with no student response matching. Point out that this is why the order of operations exists: to help all students achieve the correct answer every time.
Divide your classroom into four groups and advise them four problem rounds will be played; the group that completes the order of operations problems correctly and most quickly will win a prize. Choose a prize the class will get excited about, such as a "no homework" day. Add one stipulation: the person that appears to be the key player of each winning group must sit out the next problem round, helping to even the odds. You choose that person to be removed after each round. This helps all students become involved in the learning process rather than relying on just one member's math skills.
Combine physical activity with visual activity to keep your students engaged and learning the order of operations in math. Provide six students with place cards. Each card will contain a part of the order of operations: a numerical equation within parenthesis, an exponential equation, one multiplication or division equation and one addition or subtraction problem. Tell them to line up in front of the class based upon the part of the problem that will follow the order of operations: parenthesis problems first, then the exponential portion, followed by the multiplication or division equation and, lastly, an addition or subtraction problem. Engage the rest of the class in solving the mathematical problem.
Add color to your order of operation math exercises. Distribute paint-by-number coloring pages that contain order of operation problems within the to-be-colored page objects. One problem can be inside the length of a tree stump; one can be inside a pool of water. Provide students with paints labeled a number that corresponds to each problem's answer. Don't forget the brushes. Students have to solve the problem to know what colors you want the picture objects painted.