In this assessment, students investigate income inequality in two fictional countries by calculating cumulative income percentages, constructing Lorenz curves and determining Hoover indices. They use their findings to calculate the amount of income requiring redistribution to achieve perfect equality under a simplified model. Students then investigate two alternative redistribution policies, comparing their effects on income distributions and Hoover indices. They discover that identical Hoover indices can represent different income distributions, before evaluating the accuracy, limitations and real-world implications of their mathematical models.
MYP5S
D
MYP5
mathematical models
evaluating models
cumulative frequency graphs
percentages
cumulative frequency tables
proportions
Fairness and development
Relationships
Models
Validity
Representation
Scaffolded
Closed-ended
75-90 mins