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AP World History: Modern
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Mathematics Coverage

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This premium page is organized into 10 access-code protected sections and 1,000 timed exercises aligned with the exam-specific topics listed below, providing structured coverage, timed practice, and detailed explanations.

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Section 1 of 10

The Global Tapestry (c. 1200–c. 1450)

Build a strong foundation in AP World History: Modern by studying the major states, societies, belief systems, and regional developments that shaped the world before intense interregional integration.

  • East Asia with emphasis on Song Dynasty China, governance, economic growth, and cultural influence
  • Dar al-Islam, major caliphates, and the spread of Islamic political, intellectual, and commercial networks
  • South and Southeast Asia, including Hindu, Buddhist, and syncretic developments across kingdoms and trade zones
  • Africa, including states such as Mali and Great Zimbabwe, with attention to political organization and economic life
  • Europe and feudal structures, including Christianity, political decentralization, and social hierarchy
  • The Americas, including Aztec and Inca political systems, economic organization, and regional power
  • Comparative analysis of political systems, economic structures, and cultural traditions across regions
Section 2 of 10

Networks of Exchange (c. 1200–c. 1450)

Strengthen understanding of how long-distance trade routes connected Afro-Eurasia and how those exchanges moved goods, people, technologies, and belief systems across large regions.

  • Silk Roads and the movement of luxury goods, commercial practices, and technologies across Eurasia
  • Indian Ocean trade and the maritime exchange of spices, textiles, ideas, and cultural practices
  • Trans-Saharan trade and the circulation of gold, salt, enslaved people, and religious influences
  • The spread of Islam, Buddhism, and other belief systems through merchants, missionaries, and states
  • Caravanserais, diasporic merchant communities, navigation tools, and transportation technologies
  • Environmental effects of exchange, including disease transmission and agricultural diffusion
  • Evaluation of how trade networks stimulated urbanization, state power, and cultural interaction
Section 3 of 10

Land-Based Empires (c. 1450–c. 1750)

Prepare for AP questions on empire building by examining how major land-based states expanded, administered territory, used military power, and managed religious and ethnic diversity.

  • Ottoman, Safavid, and Mughal expansion, administration, and use of gunpowder technology
  • Ming and Qing China, including state consolidation, bureaucracy, and elite political culture
  • Manchu rule, imperial governance, and strategies of legitimacy in East Asia
  • Centralized bureaucracies, taxation systems, and methods of maintaining imperial authority
  • Religious policies, including tolerance, enforcement, and the political use of belief systems
  • Elite and non-elite social structures within imperial systems
  • Comparative analysis of imperial strategies, continuity, and change across regions
Section 4 of 10

Transoceanic Interconnections (c. 1450–c. 1750)

Study the causes and consequences of oceanic exploration and maritime expansion, with close attention to new global linkages, ecological change, and coerced labor systems.

  • Motivations for exploration, including economic ambition, state rivalry, and religious expansion
  • Portuguese, Spanish, Dutch, and British maritime empires and their global influence
  • The Columbian Exchange and its movement of crops, animals, diseases, and peoples
  • The Atlantic system, including plantation economies and the transatlantic slave trade
  • Silver flows, global commerce, and the growing integration of regional economies
  • Cultural, demographic, and environmental consequences of transoceanic exchange
  • Analysis of how exploration reshaped societies in the Americas, Europe, Africa, and Asia
Section 5 of 10

Revolutions (c. 1750–c. 1900)

Develop a clear understanding of the political and industrial revolutions that transformed states, economies, and ideas about rights, citizenship, labor, and sovereignty.

  • Enlightenment ideas such as liberty, reason, rights, equality, and popular sovereignty
  • The American, French, Haitian, and Latin American revolutions and their different contexts
  • Nationalism and its role in challenging or reshaping political order
  • The Industrial Revolution, including technological innovation and new production systems
  • Capitalism, industrial growth, and shifts in the organization of labor and markets
  • Urbanization, social change, and the emergence of new classes and political tensions
  • Comparison of revolutionary causes, methods, outcomes, and long-term consequences
Section 6 of 10

Consequences of Industrialization (c. 1750–c. 1900)

Examine how industrialization restructured work, social life, migration, reform movements, and the relationship between states, labor, and the environment.

  • Factory systems, mechanization, and changing patterns of production and consumption
  • Labor systems including wage labor, child labor, indentured labor, and migrant labor
  • Class formation, new urban conditions, and changing family structures
  • Reform movements linked to labor rights, education, public health, and political participation
  • The role of industrial economies in reshaping global trade and resource extraction
  • Environmental change resulting from industrial expansion and intensified production
  • Evaluation of how industrialization generated both growth and social dislocation
Section 7 of 10

Imperialism (c. 1750–c. 1900)

Master the political, economic, and ideological dimensions of imperialism by studying expansion, domination, exploitation, and the many forms of resistance it provoked.

  • Economic, political, and cultural motives that drove imperial expansion
  • European expansion into Africa and Asia and the reorganization of colonized territories
  • Direct and indirect rule, colonial administrations, and extraction systems
  • Resistance movements, reform efforts, and anti-colonial responses in different regions
  • Missionary activity, racial ideologies, and civilizing claims in imperial discourse
  • Infrastructure projects and how they served imperial control and resource movement
  • Analysis of how imperialism deepened global inequalities and altered power structures
Section 8 of 10

Global Conflict (c. 1900–Present)

Prepare for modern history questions by tracing the causes, conduct, and consequences of the major conflicts that reshaped the twentieth century and beyond.

  • World War I, including militarism, alliances, imperial rivalry, and trench warfare
  • The interwar period, crisis, and conditions that contributed to the rise of authoritarian regimes
  • World War II, including total war, genocide, and large-scale military mobilization
  • The Holocaust and other atrocities as central elements of twentieth-century conflict history
  • The Cold War, ideological rivalry, and proxy wars across multiple regions
  • Conflict linked to decolonization, independence struggles, and regional instability
  • Evaluation of the political, social, and economic consequences of global warfare
Section 9 of 10

Cold War and Decolonization (c. 1900–Present)

Study how newly independent states emerged in the shadow of superpower rivalry and how political realignment transformed Africa, Asia, the Middle East, and the wider world.

  • The United States and the Soviet Union as rival superpowers in a bipolar world order
  • Decolonization movements in Africa, Asia, and the Middle East and the pressures that shaped them
  • Nationalist leadership, independence campaigns, and the struggle to form stable states
  • Political and economic challenges facing new nations after independence
  • The Non-Aligned Movement and attempts to resist superpower domination
  • State-building, development planning, and postcolonial instability in multiple regions
  • Analysis of how Cold War pressures shaped domestic and international choices
Section 10 of 10

Globalization (c. 1900–Present)

Finish the course by examining the accelerating integration of the modern world through trade, migration, communication, culture, international institutions, and shared global challenges.

  • Economic globalization, international trade, finance, and multinational corporations
  • Technological change in communication, transportation, and information exchange
  • Cultural diffusion through media, migration, popular culture, and transnational networks
  • Global institutions such as the United Nations and World Trade Organization
  • Environmental challenges including climate change, sustainability, and resource pressures
  • The uneven effects of globalization on states, societies, and individuals
  • Evaluation of how global interconnectedness creates opportunities as well as tensions

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New to AP World History: Modern practice? Start with the free exercises first, then return here to unlock premium mathematics sections when the learner is ready for more serious preparation.
Go to Free Practice
The Global Tapestry (c. 1200–c. 1450)
Networks of Exchange (c. 1200–c. 1450)
Land-Based Empires (c. 1450–c. 1750)
Transoceanic Interconnections (c. 1450–c. 1750)
Revolutions (c. 1750–c. 1900)
Consequences of Industrialization (c. 1750–c. 1900)
Imperialism (c. 1750–c. 1900)
Global Conflict (c. 1900–Present)
Cold War and Decolonization (c. 1900–Present)
Globalization (c. 1900–Present)

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The structure separates AP World History: Modern into 10 clearly defined exam-specific domains so learners can identify weaker areas, practise them directly, and track improvement across the full coverage.

This is especially useful for learners who want a more disciplined way to revise mathematics, strengthen problem-solving confidence, and improve their ability to interpret examination-style questions through repeated premium practice rather than passive reading.

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More efficient revision flow Learners can alternate among arithmetic, geometry, measurement, data, and reasoning topics for a more balanced mathematics preparation routine.
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