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Honesty map
Units 1–3 examined. Unit 4 additional (parameters, vectors, matrices) — not in the exam. Two lessons are public. Later reviewed work needs the study gate. Unpublished modules are labelled so you can see the year — they are not clickable fake lessons.
Fractions; signed numbers; indices; radicals; factoring; algebraic fractions; linear/quadratic equations; inequalities; interval notation; coordinate geometry.
Factoring and invalid operations
Factor polynomials using common factors and difference of squares, and reject algebraic cancellations that change the function.
Open public lessonRelations; notation; domain/range; piecewise functions; tables and graphs; intercepts; increasing/decreasing behaviour; extrema; average rate of change.
Average rate of change
Compute average rate of change from a formula, table or graph, and interpret the result with units and interval.
Reviewed lesson. Opens after two public lessons and the study gate. Continue
Domain and range of basic functions
State domain restrictions for rational, radical and piecewise functions from equations and graphs.
Unpublished
Parent functions; translations/reflections/scalings; composition; inverse functions; one-to-one restrictions; symmetry.
Unpublished — no reviewed lesson on this desk.
Quadratics and higher-degree polynomials; zeros and multiplicity; factoring; division; remainder/factor ideas; end behaviour; inequalities.
Polynomial zeros and end behaviour
Determine zeros from factored form, including multiplicity, and describe end behaviour from degree and leading coefficient.
Reviewed lesson. Opens after two public lessons and the study gate. Continue
Domain restrictions; simplification; holes; vertical/horizontal/slant asymptotes; intercepts; rational equations/inequalities; extraneous solutions.
Holes versus vertical asymptotes
Distinguish a removable discontinuity from a vertical asymptote and preserve the original domain when simplifying a rational function.
Open public lessonGrowth/decay; repeated percentage change; equivalent forms; transformations; compound growth; model parameters.
Equivalent exponential forms
Rewrite $a(b)^x$ and $a(1+r)^t$ equivalently and interpret the growth factor.
Unpublished
Inverse relationship; laws and restrictions; change of base; graphs; exponential/logarithmic equations.
Solving logarithmic equations
Solve logarithmic equations while excluding candidates that violate argument positivity.
Unpublished
Degrees/radians; unit circle; reference angles; exact values; triangle ratios.
Unit circle exact values
Use the unit circle to obtain exact sine and cosine values and the correct angle unit.
Unpublished
Sine/cosine/tangent; amplitude; period; phase shift; midline; inverse trig.
Unpublished — no reviewed lesson on this desk.
Fundamental identities; equations; interval and general solutions.
Unpublished — no reviewed lesson on this desk.
Model selection; average rates; residuals; interpolation/extrapolation; model limitations.
Unpublished — no reviewed lesson on this desk.
Polar coordinates; Cartesian conversions; polar graphs; parametric curves.
Unpublished — no reviewed lesson on this desk.
Functions involving parameters; vectors; matrices. AP Unit 4 additional content — not in the AP examination.
Vectors and matrices (additional)
Work with parameters, vectors and matrices when required by a local syllabus. Not examined on AP Precalculus 2027.
Unpublished
Secant slopes; informal limits; continuity; changing rates. Reported separately from AP exam readiness.
Unpublished — no reviewed lesson on this desk.