Build Your AEPA Mathematics Plan From the Weights
AEPA Mathematics NT304 is too broad for a random review plan. The official profile gives you the starting point: Patterns, Algebra, and Functions is 24% of the test, while Mathematical Processes and Number Sense, Measurement and Geometry, Trigonometry and Calculus, and Statistics, Probability, and Discrete Mathematics are each 19%. That means one domain gets extra attention, but no domain is small enough to skip.
The best 2026 study plan uses three loops at the same time. First, a domain loop that follows the official weights. Second, a practice loop that turns every missed question into a repair task. Third, a stamina loop that gets you ready for 150 multiple-choice questions in a 5-hour testing session.
Why a Weight-Based Plan Beats a Topic List
A generic math checklist can be comforting because it feels complete. It is also dangerous. NT304 is not organized by whatever order your old textbook used. It is organized around five exam domains, and the biggest domain is not enough by itself to pass comfortably.
If you have 80 study hours, a rough weight-based split looks like this:
| Domain | Weight | 80-hour target |
|---|---|---|
| Patterns, Algebra, and Functions | 24% | 19-22 hours |
| Mathematical Processes and Number Sense | 19% | 14-16 hours |
| Measurement and Geometry | 19% | 14-16 hours |
| Trigonometry and Calculus | 19% | 14-16 hours |
| Statistics, Probability, and Discrete Mathematics | 19% | 14-16 hours |
Those numbers are not rigid. If your diagnostic shows strong geometry but weak probability, move time. The point is to prevent a common failure pattern: spending most prep time on comfortable algebra and leaving calculus, statistics, or proof to the last week.
Step 1: Take a Real Diagnostic
Before planning weeks, take a mixed diagnostic. Do not use only a single-topic quiz. The real exam requires switching. A diagnostic set should include algebra, functions, number sense, geometry, trigonometry, calculus, statistics, probability, and discrete mathematics.
After the diagnostic, do not only record a percent correct. Tag every miss with three labels:
| Label | Example |
|---|---|
| Official domain | Measurement and Geometry |
| Skill | Similar triangles or coordinate distance |
| Error type | theorem condition, algebra execution, calculator use, diagram assumption, or vocabulary |
This log tells you what to study. If your misses are mostly theorem conditions, more formula memorization will not fix the problem. If your misses are mostly algebra execution, rereading explanations will not fix it unless you solve fresh problems after review. If your misses are mostly probability language, you need decision routines for independence, conditional probability, and counting.
Week 1: Algebra and Function Core
Start with the largest domain. Review equations, inequalities, systems, polynomial functions, rational expressions, radicals, exponential functions, logarithms, absolute value, piecewise functions, compositions, inverses, domains, ranges, intercepts, and asymptotes.
Your daily work should include one focused set and one mixed set. The focused set builds skill. The mixed set checks whether you can recognize the skill when the prompt is not announcing the topic. For functions, practice every representation: equation, graph, table, verbal model, and answer-choice description.
The repair habit matters more than the number of questions. For every algebra miss, write the exact step that failed. Was it a sign error, restriction error, graph interpretation, inverse step, exponent rule, or model setup? Retest the same skill two days later.
Week 2: Number Sense, Logic, and Mathematical Processes
Mathematical Processes and Number Sense is not filler. It includes problem-solving strategy, estimation, representation, communication, inductive and deductive reasoning, logic, historical development, real-number structure, complex numbers, and number theory.
A good week includes proof and counterexample practice. When a statement says always, must, or for all, look for a proof or a counterexample. When a statement says sometimes or could, test edge cases. When a question gives a pattern, decide whether it supports a conjecture or actually proves one.
Also review complex-number operations, divisibility, factors, multiples, primes, rational and irrational numbers, and estimation. Estimation is useful on the test because it can eliminate answer choices quickly before you spend time on exact calculation.
Week 3: Geometry and Measurement
Geometry study should start with conditions. Which facts are given? Which facts follow? Which facts only look true from the diagram? That distinction is where many certification candidates lose points.
Review units, scale factors, precision, error, perimeter, circumference, area, surface area, volume, similarity, congruence, Pythagorean reasoning, polygons, circles, formal proof, informal proof, coordinate geometry, conic sections, transformations, symmetries, nets, and cross sections.
Use a two-column error log for geometry. In the first column, write the theorem or property. In the second, write the condition that activates it. For example, similar triangles require angle or ratio evidence; a perpendicular bisector gives equidistance only when the point lies on it; a circle theorem may require a tangent, chord, central angle, or inscribed angle relationship.
Week 4: Trigonometry and Calculus
Trigonometry and Calculus is 19%, so it deserves a full review block. For trigonometry, study unit-circle values, sine, cosine, tangent, reciprocal functions, identities, graph transformations, periodic models, angle measures, and solving trig equations. For calculus, study limits, continuity, derivatives, derivative rules, tangent lines, rates of change, optimization, Riemann sums, integrals, and area under a curve.
The key is meaning. A derivative is not only a rule; it is instantaneous rate of change and slope. An integral is not only antiderivative work; it can represent accumulation or area. A limit is a behavior question, not always a substitution question.
Use the calculator only after choosing the model. If you reach for calculation before identifying the relationship, you can get a precise wrong answer quickly.
Week 5: Statistics, Probability, and Discrete Math
This domain is often underestimated by candidates with strong algebra backgrounds. Review data displays, center, variability, sampling, bias, simple probability, compound probability, conditional probability, counting, probability distributions, normal distribution ideas, sequences, series, recursion, matrices, vectors, and sets.
Use decision questions before formulas. For probability, ask whether events are independent, mutually exclusive, conditional, or sequential. For counting, ask whether order matters and whether repetition is allowed. For statistics, ask whether the claim is about a sample, population, statistic, parameter, association, or causation.
Practice explaining wrong answer choices. Statistics and probability items often include attractive choices that use the right numbers in the wrong relationship.
Weeks 6 and 7: Mixed Sets and Repair
Your weekly dashboard should include:
| Metric | Goal |
|---|---|
| Domain coverage | Every official domain appears each week |
| Repeat errors | Decreasing over time |
| Algebra execution | Stable under time |
| Geometry conditions | Written before theorem use |
| Probability decisions | Order and replacement decided before calculation |
| Calculator use | Used for checking and computation, not model choice |
If mixed scores stall, do not simply do more questions. Find the bottleneck. A stalled score usually means one of three things: you are not repairing misses, your review is too passive, or you are not practicing topic switching.
Week 8: Test Simulation and Final Review
In the final week, take at least one long mixed session. You do not need to sit for five full hours every day, but you do need to know what happens to your accuracy after fatigue. Many candidates are fine for the first hour and careless by hour four.
Use a three-pass test plan. First, answer problems you can solve cleanly. Second, return to marked problems that require diagram, algebra, or calculator work. Third, check restrictions, units, signs, and reasonableness.
Your final review should be narrow. Review your miss log, formula page strategy, calculator habits, theorem conditions, probability decisions, function transformations, and common traps. Do not start a brand-new advanced topic the night before the exam unless it is a small fix from your error log.
Adjustments by Candidate Type
A recent math major should not assume content knowledge is enough. The exam still tests breadth, official domain language, and multiple-choice precision. Focus on mixed sets, proof language, geometry conditions, and statistics wording.
A career changer or candidate returning after years away from advanced math may need a longer plan. Stretch this 8-week plan to 10 or 12 weeks, especially for trigonometry, calculus, discrete math, and geometry proof.
A retake candidate should start with the score report and the old error log. Do not retake the same preparation path that produced the same result. Build a domain-specific recovery plan and confirm current AEPA retake rules before scheduling.
Official Sources to Keep Open
Use the official AEPA Mathematics test page for live time, fee, score, scheduling, and calculator details. Use the official AEPA/NES Mathematics profile for the domain weights and competency structure. Use AEPA preparation materials for official prep links.