This activity can be used to help students understand the least common multiple (LCM) of two numbers. The students will start in a problem-solving activity where they will reason through how to balance a scale using the same colored bags. Each of the trays can only contain one color, but they are allowed an unlimited number of the same colored bags on a single tray.
For example, if pink bags weigh 12 oz. and teal bags weigh 8 oz., then the student will be expected to determine that you need two pink bags (for a total of 24 oz.) and three teal bags (again, for a total of 24 oz.).
The students will then be asked to find the LCM of the same numbers that they were just using when reasoning through the scale activity previously. The lesson concludes with the students responding using sentences to make a connection between balancing the scale and finding the LCM of two numbers.