Growth is measured as change in Real GDP(Gross Domestic Product), and is necessary to create more wealth for an increasing population. Real GDP is basically GDP adjusted for inflation (or what is known as Nominal GDP)
Poverty is measured as a threshold income level, in terms of GDP per Capita. The GDP per capita (or GDP per head) is adjusted for purchasing power parity, and based on Real GDP. The Poverty Rate is the percentage of individuals below this threshold.
Figure below shows a sample Real GDP growth rate and poverty rate of a specific country. It can be seen that growth in the early years correspond to a reduction in poverty rate, while in the middle years the poverty rate was relatively flat despite growth. In the latter years, a GDP crash corresponds to increasing poverty rate.
Inequality is measured as a difference in income ranges - by dividing incomes of all inviduals into 5 or 10 different ranges (quintiles or deciles, respectively), and looking at the gaps to determine what is called as Gini Coefficient or plots called Lorenz curves.
The Lorenz curve plots the cumulative percentages of income recipients relative to the corresponding cumulative percentage of total income received by those recipients. A diagonal straight line represents perfect equality, where X% of the income recipients receive exactly X% share of total income. The closer the curve to the straight line, the lower the inequality. In the sample Lorenz curves shown below, we can see that the curves have moved farther from the perfect equality straight line each year, indicating an increase in inequality over the year.
The Gini Coefficient is a number between 0 and 1, where 0 is perfect equality and 1 is a perfect inequality. It is measured by dividing the area between perfect equality line and the Lorenz curve by the total area to the right of the perfect equality line - the higher the value, the higher the inequality. For the sample curves shown above, the Gini coefficient for the years 1991, 1994 and 1998 were 0.471, 0.491 and 0.534, respectively.