Final answer:
The period in the 1820s and 1830s marked by increasing democratic participation among white males is known as the Age of the Common Man or the Age of Jackson, which also saw the rise of the Democratic Party and the Second Party System.
Step-by-step explanation:
The period of expanding democracy in the 1820s and 1830s became known as the Age of the Common Man, often referred to as the Age of Jackson. This era was characterized by the extension of the democratic franchise to nearly all adult white males, with the right to vote and more elective government positions, significantly altering American political participation and party politics. This expansion of democracy coincided with the rise of the Democratic Party and was marked by the glorification of the 'common man' and an ideal of equality among white males. However, this expansion did not encompass women, free Black people, and Native Americans, highlighting the era's complexities regarding equality and democratic principles. The presidential election of 1828, won by Andrew Jackson, and the shift from the first to the Second Party System were notable milestones in this democratic transformation.