FTCE Social Science 6-12 study materials
FTCE Social Science 6-12 study resources

FTCE Social Science 6-12 cheat sheet

FTCE Social Science 6-12 · Keep the key ideas within reach.

Quick reference

Geography

  • Latitude lines run east-west and measure distance north or south of the equator (0° to 90°); longitude lines run north-south and measure distance east or west of the prime meridian (0° to 180°).

  • Climate zones by latitude: tropical (0°–23.5°), temperate (23.5°–66.5°), and polar (66.5°–90°); the Tropic of Cancer and Capricorn mark 23.5° N and S.

  • Plate boundaries: divergent (plates separate, mid-ocean ridges), convergent (plates collide, mountains and subduction zones), and transform (plates slide past, faults such as San Andreas).

  • Population density equals total population divided by land area; arithmetic density uses total area, physiological density uses arable land only.

  • The demographic transition model has four stages: high birth/death (Stage 1), falling death rates (Stage 2), falling birth rates (Stage 3), and low stable rates (Stage 4).

  • Push factors drive migration away from a place (war, famine, unemployment); pull factors attract migrants (jobs, safety, freedom).

  • The three-sector model divides economies into primary (extraction), secondary (manufacturing), and tertiary (services); development shifts employment from primary toward tertiary.

  • Von Thünen's model places intensive farming (dairy, produce) near markets and extensive farming (grazing, grain) farther out because transport costs rise with distance.

Quick reference

Economics

  • Law of demand: as price rises, quantity demanded falls, all else equal; law of supply: as price rises, quantity supplied rises. Equilibrium occurs where the curves intersect.

  • Elasticity of demand equals percentage change in quantity demanded divided by percentage change in price; demand is elastic when the absolute value exceeds 1.

  • GDP equals consumption plus investment plus government spending plus net exports (C + I + G + (X − M)); it counts final goods only, not intermediate goods.

  • A country has comparative advantage in a good when its opportunity cost of producing it is lower than another country's, which is the basis for specialization and trade.

  • The money multiplier equals 1 divided by the reserve requirement ratio; an increase in the reserve ratio shrinks the money supply.

  • Central banks use open market operations, the discount rate, and reserve requirements; buying bonds and lowering rates are expansionary policies.

  • Fiscal policy is government taxation and spending; deficits raise national debt, and automatic stabilizers (unemployment insurance, progressive taxes) dampen cycles.

  • Inflation is a sustained rise in the general price level; it erodes purchasing power and hurts lenders and fixed-income earners, while unanticipated inflation helps borrowers.

  • Market structures: perfect competition (many firms, identical goods), monopolistic competition (differentiated goods), oligopoly (few firms), and monopoly (single seller, high barriers).

Quick reference

Political Science

  • The U.S. Constitution separates powers among legislative (Article I), executive (Article II), and judicial (Article III) branches, with checks and balances among them.

  • Federalism divides authority between national and state governments; the Supremacy Clause (Article VI) makes federal law supreme, and the Tenth Amendment reserves powers to the states.

  • The Bill of Rights comprises the first ten amendments; the First Amendment protects speech, press, assembly, petition, and religion (establishment and free exercise clauses).

  • The Electoral College awards electors equal to a state's total congressional delegation; a candidate needs 270 of 538 electoral votes to win the presidency.

  • A bill becomes law by passing both chambers and being signed by the president; a presidential veto can be overridden by a two-thirds vote of each chamber.

  • Judicial review is the power of courts to declare laws unconstitutional, established in Marbury v. Madison (1803).

  • Political socialization is the process by which individuals acquire political attitudes, chiefly through family, schools, peers, and media.

  • Realignment shifts the dominant party coalition over a period (e.g., 1932 New Deal coalition); dealignment is weakening party identification among voters.

Quick reference

World History

  • The Neolithic Revolution (c. 10,000 BCE) marked the shift from hunting-gathering to settled agriculture, enabling surplus, specialization, and cities.

  • River valley civilizations: Mesopotamia (Tigris-Euphrates), Egypt (Nile), Indus (Indus), and China (Yellow River); each depended on floodplain agriculture and irrigation.

  • The Silk Roads, Indian Ocean, and trans-Saharan routes spread goods, religions (Buddhism, Islam), technologies, and disease (the Black Death) across Afro-Eurasia.

  • The Renaissance (14th–17th centuries) revived classical learning in Italy, emphasizing humanism, perspective in art, and printing (Gutenberg, c. 1450).

  • The Columbian Exchange transferred crops, animals, and diseases between hemispheres; Old World diseases devastated Indigenous populations of the Americas.

  • The Industrial Revolution began in late 18th-century Britain with mechanized textiles, steam power, and urbanization, spreading to Europe and North America in the 19th century.

  • World War I causes: militarism, alliances, imperialism, and nationalism; the 1919 Treaty of Versailles imposed reparations and territorial losses on Germany.

  • Decolonization after 1945 dismantled European empires in Asia and Africa; newly independent states often faced artificial borders and Cold War alignment pressures.

Quick reference

U.S. History

  • The Declaration of Independence (1776) drew on Locke's natural rights; the Articles of Confederation (1781) created a weak central government replaced by the Constitution (1787).

  • The Great Compromise created a bicameral Congress (population-based House, equal-state Senate); the Three-Fifths Compromise counted enslaved persons as three-fifths for representation.

  • The Missouri Compromise (1820) paired Missouri's admission as a slave state with Maine as free and banned slavery north of 36°30' in the Louisiana Territory.

  • Reconstruction (1865–1877) added the Thirteenth (abolition), Fourteenth (citizenship, equal protection), and Fifteenth (voting rights) Amendments.

  • Progressive Era reforms included the initiative, referendum, recall, direct election of senators (Seventeenth Amendment), and antitrust action.

  • The New Deal (1933–1939) expanded federal economic regulation and created Social Security, the FDIC, and labor protections.

  • Key Cold War policies: containment (Truman Doctrine, Marshall Plan), NATO (1949), and the domino theory underlying U.S. involvement in Vietnam.

  • Landmark civil rights milestones: Brown v. Board of Education (1954, desegregation), Civil Rights Act (1964), and Voting Rights Act (1965).

  • The Great Depression began with the 1929 stock market crash and was worsened by bank failures and the Smoot-Hawley Tariff; unemployment peaked near 25%.

Quick reference

Geography

  • Tectonic plate boundaries: divergent (plates separate, mid-ocean ridges), convergent (plates collide, mountains and subduction zones), and transform (plates slide past, faults such as San Andreas).

  • Population density equals total population divided by land area; arithmetic density uses total area, physiological density uses arable land only.

  • The demographic transition model has four stages: high birth/death (Stage 1), falling death rates (Stage 2), falling birth rates (Stage 3), and low stable rates (Stage 4).

  • Push factors drive migration away from a place (war, famine, unemployment); pull factors attract migrants (jobs, safety, freedom).

  • The three-sector model divides economies into primary (extraction), secondary (manufacturing), and tertiary (services); development shifts employment from primary toward tertiary.

  • Von Thünen's model places intensive farming (dairy, produce) near markets and extensive farming (grazing, grain) farther out because transport costs rise with distance.

  • Latitude lines run east-west and measure distance north or south of the equator (0° to 90°); longitude lines run north-south and measure distance east or west of the prime meridian (0° to 180°).

  • Climate zones by latitude: tropical (0°–23.5°), temperate (23.5°–66.5°), and polar (66.5°–90°); the Tropic of Cancer and Capricorn mark 23.5° N and S.

Quick reference

Economics

  • Law of demand: as price rises, quantity demanded falls, all else equal; law of supply: as price rises, quantity supplied rises. Equilibrium occurs where the curves intersect.

  • Elasticity of demand equals percentage change in quantity demanded divided by percentage change in price; demand is elastic when the absolute value exceeds 1.

  • GDP equals consumption plus investment plus government spending plus net exports (C + I + G + (X − M)); it counts final goods only, not intermediate goods.

  • A country has comparative advantage in a good when its opportunity cost of producing it is lower than another country's, which is the basis for specialization and trade.

  • The money multiplier equals 1 divided by the reserve requirement ratio; an increase in the reserve ratio shrinks the money supply.

  • Central banks use open market operations, the discount rate, and reserve requirements; buying bonds and lowering rates are expansionary policies.

  • Fiscal policy is government taxation and spending; deficits raise national debt, and automatic stabilizers (unemployment insurance, progressive taxes) dampen cycles.

  • Inflation is a sustained rise in the general price level; it erodes purchasing power and hurts lenders and fixed-income earners, while unanticipated inflation helps borrowers.

  • Market structures: perfect competition (many firms, identical goods), monopolistic competition (differentiated goods), oligopoly (few firms), and monopoly (single seller, high barriers).

Quick reference

Political Science

  • The U.S. Constitution separates powers among legislative (Article I), executive (Article II), and judicial (Article III) branches, with checks and balances among them.

  • Federalism divides authority between national and state governments; the Supremacy Clause (Article VI) makes federal law supreme, and the Tenth Amendment reserves powers to the states.

  • The Bill of Rights comprises the first ten amendments; the First Amendment protects speech, press, assembly, petition, and religion (establishment and free exercise clauses).

  • The Electoral College awards electors equal to a state's total congressional delegation; a candidate needs 270 of 538 electoral votes to win the presidency.

  • A bill becomes law by passing both chambers and being signed by the president; a presidential veto can be overridden by a two-thirds vote of each chamber.

  • Judicial review is the power of courts to declare laws unconstitutional, established in Marbury v. Madison (1803).

  • Political socialization is the process by which individuals acquire political attitudes, chiefly through family, schools, peers, and media.

  • Realignment shifts the dominant party coalition over a period (e.g., 1932 New Deal coalition); dealignment is weakening party identification among voters.

Quick reference

World History

  • The Neolithic Revolution (c. 10,000 BCE) marked the shift from hunting-gathering to settled agriculture, enabling surplus, specialization, and cities.

  • River valley civilizations: Mesopotamia (Tigris-Euphrates), Egypt (Nile), Indus (Indus), and China (Yellow River); each depended on floodplain agriculture and irrigation.

  • The Silk Roads, Indian Ocean, and trans-Saharan routes spread goods, religions (Buddhism, Islam), technologies, and disease (the Black Death) across Afro-Eurasia.

  • The Renaissance (14th–17th centuries) revived classical learning in Italy, emphasizing humanism, perspective in art, and printing (Gutenberg, c. 1450).

  • The Columbian Exchange transferred crops, animals, and diseases between hemispheres; Old World diseases devastated Indigenous populations of the Americas.

  • The Industrial Revolution began in late 18th-century Britain with mechanized textiles, steam power, and urbanization, spreading to Europe and North America in the 19th century.

  • World War I causes: militarism, alliances, imperialism, and nationalism; the 1919 Treaty of Versailles imposed reparations and territorial losses on Germany.

  • Decolonization after 1945 dismantled European empires in Asia and Africa; newly independent states often faced artificial borders and Cold War alignment pressures.

Quick reference

U.S. History

  • The Declaration of Independence (1776) drew on Locke's natural rights; the Articles of Confederation (1781) created a weak central government replaced by the Constitution (1787).

  • The Great Compromise created a bicameral Congress (population-based House, equal-state Senate); the Three-Fifths Compromise counted enslaved persons as three-fifths for representation.

  • The Missouri Compromise (1820) paired Missouri's admission as a slave state with Maine as free and banned slavery north of 36°30' in the Louisiana Territory.

  • Reconstruction (1865–1877) added the Thirteenth (abolition), Fourteenth (citizenship, equal protection), and Fifteenth (voting rights) Amendments.

  • Progressive Era reforms included the initiative, referendum, recall, direct election of senators (Seventeenth Amendment), and antitrust action.

  • The New Deal (1933–1939) expanded federal economic regulation and created Social Security, the FDIC, and labor protections.

  • Key Cold War policies: containment (Truman Doctrine, Marshall Plan), NATO (1949), and the domino theory underlying U.S. involvement in Vietnam.

  • Landmark civil rights milestones: Brown v. Board of Education (1954, desegregation), Civil Rights Act (1964), and Voting Rights Act (1965).

  • The Great Depression began with the 1929 stock market crash and was worsened by bank failures and the Smoot-Hawley Tariff; unemployment peaked near 25%.