Task# Sweet Tea

Illustrative MathematicsVaries

The purpose of this task is to help students understand why equivalent ratios of food ingredients result in mixtures that taste the same even if the individual quantities are different, and to use this understanding to determine whether two different mixtures will taste the same or not. The key move in reasoning is to compare ratios where one quantity is the same to see whether the other quantity is the same or different. Parts (a) and (b) might seem trivial to an adult, but this task was written because the conclusions might not be obvious to students with no experience with mixture tasks. The hope is that asking these explicit questions will make it more likely that students will find success working with equivalent mixtures in future work.