Courses

Expressions, equations, functions, slope, systems, exponents, sequences, and a data-modeling project.

1. 1The language of algebraTranslate between words and algebraic expressions, and evaluate expressions by substitution.📖 Lesson📝 Homework
2. 2Solving linear equationsSolve one-variable linear equations, including variables on both sides, by legal moves that keep the balance.📖 Lesson📝 Homework
3. 3Functions: machines with rulesUnderstand a function as a rule assigning each input exactly one output; use f(x) notation and read graphs.📖 Lesson📝 Homework
4. 4Slope: the rate in the lineCompute slope as rise over run and interpret slope and intercept in real contexts.📖 Lesson📝 Homework
5. 5Systems: two truths at onceSolve systems of two linear equations by graphing and substitution; interpret the intersection.📖 Lesson📝 Homework
6. 6Systems in the wildModel real situations (mixtures, rates, break-even) as systems and solve them.📖 Lesson📝 Homework
7. 7Exponents & exponential growthApply product/quotient/power rules for exponents and contrast exponential vs linear growth.📖 Lesson📝 Homework
8. 8Sequences: patterns with addressesRead, extend, and write explicit rules for arithmetic and geometric sequences.📖 Lesson📝 Homework
9. 9The linear modeling projectGather real two-variable data, fit a line, interpret slope/intercept, and present the model.📖 Lesson📝 Homework
10. 10Term review: the connected storyConsolidate expressions, equations, functions, slope, systems, exponents, and sequences as one narrative.📖 Lesson📝 Homework
11. 11Term assessmentDemonstrate term-1 mastery on a mixed, no-notes assessment — then own the error analysis.📖 Lesson📝 Homework
12. 12Stretch week: choose your adventureExtend term-1 skills with an enrichment path chosen by interest — depth, application, or preview.📖 Lesson📝 Homework
13. 13Elimination: erasing a variableSolve systems of linear equations by adding or subtracting equations (with scaling when needed) to eliminate a variable.📖 Lesson📝 Homework
14. 14Choosing a method, and when systems break downChoose the most efficient method for a system (graphing, substitution, elimination) and classify systems with no solution or infinitely many.📖 Lesson📝 Homework
15. 15Linear inequalities: shading a half-planeGraph linear inequalities in two variables using a boundary line and a test point.📖 Lesson📝 Homework
16. 16Systems of inequalities: where two regions overlapGraph systems of linear inequalities and identify the feasible region; apply to simple constraint problems.📖 Lesson📝 Homework
17. 17Negative exponents and scientific notationExtend exponent rules to zero and negative exponents, and convert between standard and scientific notation.📖 Lesson📝 Homework
18. 18Exponential models: growth and decayBuild and evaluate exponential growth and decay models of the form y = a(1 + r)^t and y = a(1 - r)^t.📖 Lesson📝 Homework
19. 19Graphing exponential functionsGraph y = a·b^x, identify key features (intercept, asymptote, increasing/decreasing), and compare exponential to linear growth.📖 Lesson📝 Homework
20. 20Polynomials: add, subtract, multiplyClassify polynomials by degree and number of terms, write them in standard form, and add, subtract, and multiply them.📖 Lesson📝 Homework
21. 21Factoring: pulling out the greatest common factorFactor polynomials by identifying the greatest common factor and by grouping four-term polynomials.📖 Lesson📝 Homework
22. 22Factoring trinomials: undoing FOILFactor trinomials x² + bx + c and ax² + bx + c, and recognize special-case patterns.📖 Lesson📝 Homework
23. 23Term review: the toolkit so farConsolidate systems and inequalities, exponent rules and exponential models, and polynomial operations and factoring as one connected toolkit.📖 Lesson📝 Homework
24. 24Term assessmentDemonstrate term-2 mastery on a mixed, no-notes assessment, then complete honest error analysis.📖 Lesson📝 Homework
25. 25Quadratic functions: the parabola's anatomyGraph quadratic functions from standard form, identifying the y-intercept, axis of symmetry, and vertex.📖 Lesson📝 Homework
26. 26Vertex form: reading a parabola's secretsRead the vertex directly from vertex form y = a(x - h)² + k, convert from standard form, and describe transformations.📖 Lesson📝 Homework
27. 27Solving quadratics by factoringSolve quadratic equations by rearranging to standard form and applying the zero product property.📖 Lesson📝 Homework
28. 28Completing the squareSolve quadratic equations by completing the square, including equations with a leading coefficient other than 1.📖 Lesson📝 Homework
29. 29The quadratic formula and the discriminantDerive and apply the quadratic formula, and use the discriminant to predict the number of real solutions.📖 Lesson📝 Homework
30. 30Radicals: simplifying square rootsSimplify square roots using the product property, and add, subtract, and multiply radical expressions.📖 Lesson📝 Homework
31. 31Radicals: rationalizing and solvingRationalize denominators, solve radical equations, and apply the distance formula.📖 Lesson📝 Homework
32. 32Statistics: center and spreadSummarize a data set using measures of center (mean, median, mode) and spread (range, IQR, standard deviation).📖 Lesson📝 Homework
33. 33Statistics: scatter plots and correlationDescribe bivariate data with scatter plots, judge correlation, and match a data pattern to a linear, quadratic, or exponential model.📖 Lesson📝 Homework
34. 34Course review: the whole storyConsolidate the year's major tools - systems, exponents, polynomials, quadratics, radicals, and statistics - through one connected scenario.📖 Lesson📝 Homework
35. 35Final assessmentDemonstrate cumulative Algebra I mastery on a mixed, no-notes assessment, then complete a full error analysis.📖 Lesson📝 Homework
36. 36Capstone: choose your finaleClose the year with a self-directed capstone - a data-modeling project, a deeper puzzle path, or a preview of what comes next.📖 Lesson📝 Homework

Scarcity to markets to the Fed to personal finance, ending in a policy-argument capstone.

1. 1Why Government? Foundations of Political TheoryExplain why societies form governments, describe the "state of nature" thought experiment, and classify governments by who holds power.📖 Lesson📝 Homework
2. 2The Enlightenment and the Social ContractSummarize social contract theory and the core ideas of Hobbes, Locke, Montesquieu, and Rousseau that influenced the American founders.📖 Lesson📝 Homework
3. 3From Colonies to ConfederationTrace colonial grievances leading to the Declaration of Independence and explain why the Articles of Confederation's weak central government failed.📖 Lesson📝 Homework
4. 4The Constitutional Convention and Its CompromisesExplain the major compromises of the 1787 Constitutional Convention -- the Great Compromise, the Three-Fifths Compromise, and the Electoral College -- and why each was necessary.📖 Lesson📝 Homework
5. 5Ratification: Federalists vs. Anti-FederalistsCompare Federalist and Anti-Federalist arguments over ratifying the Constitution and explain how this debate produced the Bill of Rights.📖 Lesson📝 Homework
6. 6Constitutional Principles in ActionIdentify the core constitutional principles -- popular sovereignty, limited government, separation of powers, checks and balances, and rule of law -- with textual examples of each.📖 Lesson📝 Homework
7. 7Federalism: Dividing PowerDistinguish enumerated, reserved, and concurrent powers, and trace how the balance of federal-state power has shifted over American history.📖 Lesson📝 Homework
8. 8Congress: The Legislative BranchDescribe the structure and powers of Congress and trace the formal steps by which a bill becomes a law.📖 Lesson📝 Homework
9. 9Unit Review: Foundations and the ConstitutionDemonstrate understanding of political theory, the founding documents, the Constitutional Convention, ratification, constitutional principles, and Congress through a cumulative review.📖 Lesson📝 Homework
10. 10The Presidency: The Executive BranchDescribe the constitutional powers and roles of the presidency, the executive bureaucracy, and the limits on presidential power.📖 Lesson📝 Homework
11. 11The Judiciary and Judicial ReviewDescribe the structure of the federal court system, explain judicial review and its origin in Marbury v. Madison (1803), and outline how a case reaches the Supreme Court.📖 Lesson📝 Homework
12. 12The Bill of Rights and Civil LibertiesIdentify the freedoms protected by the Bill of Rights, with emphasis on the First through Eighth Amendments, and explain civil liberties as limits on government power.📖 Lesson📝 Homework
13. 13Civil Rights and Equal ProtectionTrace the constitutional and legal expansion of civil rights and equal protection from the Fourteenth Amendment through the civil rights movement to today.📖 Lesson📝 Homework
14. 14Political Parties in American DemocracyExplain the functions political parties serve, describe the U.S. two-party system and its structural causes, and compare it to multi-party systems.📖 Lesson📝 Homework
15. 15Elections, Campaigns, and the Electoral CollegeExplain the mechanics of primary and general elections, how the Electoral College selects the president, and the major issues in campaign finance.📖 Lesson📝 Homework
16. 16Public Opinion and the MediaExplain how public opinion is measured through polling, including sampling and margin of error, and evaluate the media's role in shaping political knowledge, including the debate over bias.📖 Lesson📝 Homework
17. 17Interest Groups and the Policy ProcessExplain how interest groups and lobbying influence policy, and trace the stages of the public policy-making process from agenda-setting to evaluation.📖 Lesson📝 Homework
18. 18State and Local Government: Semester CapstoneDescribe the structure and functions of state and local government, including California's direct-democracy tools, and complete a capstone synthesizing the semester.📖 Lesson📝 Homework
19. 19Scarcity: the first fact of economicsExplain scarcity as the gap between limited resources and unlimited wants, and why it forces choice.📖 Lesson📝 Homework
20. 20Opportunity cost: what the choice really costsCompute opportunity cost as the value of the next-best alternative forgone.📖 Lesson📝 Homework
21. 21Incentives: the levers of behaviorPredict how people respond to incentives, including the unintended consequences of well-meant rules.📖 Lesson📝 Homework
22. 22Supply: the seller's sideExplain the law of supply and what shifts a supply curve versus movement along it.📖 Lesson📝 Homework
23. 23Demand: the buyer's sideExplain the law of demand and the shifters of demand (income, tastes, substitutes, expectations).📖 Lesson📝 Homework
24. 24Equilibrium: where price comes fromShow how market price emerges where quantity supplied equals quantity demanded, and how surpluses/shortages self-correct.📖 Lesson📝 Homework
25. 25When markets shift: reading price shocksAnalyze real-world events as supply or demand shifts and predict price/quantity outcomes.📖 Lesson📝 Homework
26. 26Competition & market structuresCompare perfect competition, monopolistic competition, oligopoly, and monopoly by power over price.📖 Lesson📝 Homework
27. 27Labor: the market where you're the sellerApply supply and demand to wages, and connect skills, productivity, and bargaining to earnings.📖 Lesson📝 Homework
28. 28Money & banking: what a dollar isExplain money's three functions and how banks create money through lending.📖 Lesson📝 Homework
29. 29The Fed & monetary policyDescribe the Federal Reserve's mandate and how interest-rate policy cools or stimulates the economy.📖 Lesson📝 Homework
30. 30Government: taxes, spending & fiscal policyDistinguish fiscal from monetary policy and analyze taxing/spending choices and deficits.📖 Lesson📝 Homework
31. 31GDP, inflation & unemployment: the dashboardInterpret the three headline indicators and their limits.📖 Lesson📝 Homework
32. 32Trade: why nations exchangeExplain comparative advantage and weigh the gains and costs of international trade.📖 Lesson📝 Homework
33. 33Personal finance I: budgets & savingBuild a real budget, automate saving, and command compound growth.📖 Lesson📝 Homework
34. 34Personal finance II: credit & debtUse credit deliberately — scores, interest math, and the difference between tool-debt and trap-debt.📖 Lesson📝 Homework
35. 35Personal finance III: investing & riskGrasp risk-return, diversification, index funds, and the long-game discipline.📖 Lesson📝 Homework
36. 36Capstone: argue an economic policyResearch a live policy question and argue it in writing with mechanisms, evidence, and a steelmanned opposition.📖 Lesson📝 Homework