Task# Perfect Purple Paint II

Illustrative MathematicsVaries

The goal of this task is to provide a context for students to develop their ratio and proportional reasoning skills. Many of the techniques developed in the sixth grade can be readily applied here: for example, solution 2 below uses a ratio table. Other techniques, such as double number lines or tape diagrams, can also be applied although the fractions make these more challenging. If the fractions in the problem (1/3 and 1/2) were more complex (1/3 and 1/5 for example) then there is genuine motivation to examine more abstract techniques.