Taking a few more students for fall 2026
The guide library
22 public guide excerpts across 10 courses. Read the reasoning, the choice of method, and the worked solution. Each sample shows the kind of explanation a student receives every session.
The library
These are public excerpts, with their original instruction and worked examples intact. Read in the browser or save the PDF for printing. You can request full guides for upcoming units below.
AP Physics 1
Kinematics
Kinematics describes motion without asking what caused it. The reliable move is to classify and sketch the motion first, choose a sign convention, and only then select the graph relationship or equation that matches what is actually changing.
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AP Calculus AB
Limits and continuity
Start every limit by substituting. The result is not merely an answer; it is a diagnosis. A real number means you are done, 0/0 tells you to reveal hidden algebra, and nonzero divided by zero tells you to inspect one-sided behavior.
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AP Chemistry
Atomic structure and the mole
Atomic structure becomes coherent when three habits connect: count matter through grams, moles, and particles; read spectra and composition as evidence; and explain periodic behavior through electron structure and Coulombic attraction.
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AP Biology
Chemistry of life
The load-bearing idea in chemistry of life is that structure helps explain function. A complete explanation follows the chain from molecular structure to property, interaction, and finally the behavior of a cell or organism.
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AP Statistics
Exploring one-variable data and collecting data
Before calculating, identify the observational units, variables, and whether each variable is categorical or quantitative. That classification determines the valid display, summary, comparison, and conclusion.
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AP Computer Science A
Using objects and methods
Java’s small rules are deterministic. The dependable way through expressions, strings, objects, and methods is to write the type and current value of each piece, execute one operation at a time, and update state visibly.
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AP Macroeconomics
Economic indicators and the business cycle
Most economic-indicator problems ask how much of a change is real and how much comes from the ruler—prices, population, or participation—moving. Definitions become useful only when they set the boundary for a calculation.
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AP Microeconomics
Basic economic concepts
Scarcity forces choice, and opportunity cost values the next-best alternative that choice gives up. Production possibilities, comparative advantage, marginal analysis, and consumer choice are different views of the same constraint.
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Precalculus
Sequences and series
The hardest part of a mixed sequences-and-series review is tool selection. Classify the prompt first, then use the matching arithmetic, geometric, convergence, repeating-decimal, or Taylor-series tool.
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AP Chemistry
Compound structure and properties
Unit 2 asks one question in seven costumes: what holds these particles together, and what does that predict? Name the bond from measured properties, explain strength and length with charge and distance, and build the Lewis diagram by procedure so shape, angle, and polarity read off it.
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AP Biology
Cells
A cell is a system of compartments, and the membrane that makes each compartment decides what crosses it. The exam’s own note on this unit is that students can identify an organelle and fail to describe its function; this guide is built for the description, with the unit’s first real calculations, its graphs, and its most-run lab.
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AP Microeconomics
Supply and demand
Nine problems on one reference market, so consumer and producer surplus, the tax and the subsidy, the ceiling and the floor, and the world price and the tariff all recur on the same two lines. The graph scores what the prompt asks for: the labeled axes, the curves, the shift shown, the point identified, and the right triangle shaded.
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AP Physics 1
Force and translational dynamics
Every dynamics problem begins with the free-body diagram the exam scores: four straight arrows from a dot, components never drawn, velocity never drawn. From there Newton’s second law is bookkeeping, the joined derivation is the point most students leave on the table, and this guide walks the unit’s nine topics from center of mass to orbits with g = 10 N/kg as the exam uses it.
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AP Calculus AB
Differentiation: definition and properties
Every rule in this unit is the limit of a difference quotient, worked once and remembered. Decide whether the words ask for an average rate or an instantaneous one, name the outermost operation before choosing a rule, and take the point from f and the slope from f-prime when a tangent line is asked for.
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AP Macroeconomics
Basic economic concepts
Scarcity forces a choice, and the cost of a choice is the next-best thing given up. The production possibilities curve draws that cost, comparative advantage decides who should make what, and supply and demand settle a price. The graph that earns full credit is labeled on every axis, curve and equilibrium.
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AP Statistics
Probability, random variables, and distributions
Probability is a long-run relative frequency, and every rule in this unit has a picture: a two-way table, a Venn diagram, a probability histogram, a shaded normal curve. Random variables carry the rules into means and standard deviations; the sampling distribution of a statistic is the bridge into inference.
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AP Computer Science A
Selection and iteration
Selection and iteration are the two structures that make a program do more than run top to bottom. Trace them the way the machine does: evaluate the condition, take exactly one branch, write the state after every pass, and stop at the first false test. Boolean algebra decides what the condition means; the trace decides what the code prints.
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AP Precalculus
Polynomial and rational functions
Increasing, concave up, a local maximum, a point of inflection: each is defined by what the rate of change is doing, and the exam wants that sentence with its interval and its units. Zeros and their multiplicities shape a polynomial; the multiplicity contest between numerator and denominator decides a rational function’s holes and asymptotes.
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AP Business with Personal Finance
Business, competition, new ideas
Unit 1 is the language of business, and the exam’s two verbs are describe and explain. Name the factor with the course’s word and the scenario’s detail as the evidence; explain as a mechanism, because this condition holds the business does this in order to get that. Value created against value captured, the market before the strategy, PESTEL as an evaluation.
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AP Macroeconomics
National income and price determination
Almost every question in the unit is one of four moves on the aggregate demand–aggregate supply diagram: aggregate demand shifts, short-run aggregate supply shifts, wages walk the economy back to full employment, or fiscal policy pushes it there and a multiplier sizes the push. Label the axes Price Level and Real GDP, say which run, and write the multiplier before the number.
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AP Chemistry
Properties of substances and mixtures
Every explanation in the unit is a chain with three links — which particles are present, which attraction acts between them, and what property that attraction produces — and the exam scores each link by name. The numbers, from the ideal gas law to the Beer–Lambert line, are equations from the sheet with their units carried through.
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AP Microeconomics
Production, cost, and perfect competition
A firm produces every unit whose marginal revenue covers its marginal cost and stops at the first that does not; the average curves say what profit is once output is chosen, never what output to choose. Shutting down is a short-run question answered against average variable cost, exiting a long-run one answered against average total cost, and entry drives a competitive price to minimum average total cost.
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A sample of the system
Working with me, your student’s own coursework guides the session. The evening guide preserves the explanation, the set between sessions changes the shape of the question, and what comes back is graded.
Engagements start at $800 every four weeks.
Guides for the year ahead
The public excerpts are free to read now. Leave one course below and I send the full guides by email as the year progresses, about a week before most classes reach each unit.