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222 topics and 138 recommended selections across 2 courses. Open a topic to see its activities, problem counts and answer file.

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Showing 313–336 of 360 resources

AP Precalculus24 topics

Unit 324 topics

Trig Signs and Reference Angles | Precalculus | 96 Problems

Practice focuses on three signs with coordinate evidence, all allowed angles, terminal location and reference angle, correct boundary classification, possible location or inconsistency and all consistent pairings or contradiction.

96 problems in four activities · answer key included

$3.00

Sine and Cosine Parent Graphs | Precalculus | 96 Problems

Practice focuses on direction, sign, turning, and bending description, exact average rate and interpretation, missing projection and graph identity, parent graph and projection explanation, projection error and correction and missing anchors and verified curve.

96 problems in four activities · answer key included

$3.00

Sinusoidal Amplitude and Midline | Precalculus | 96 Problems

Practice focuses on exact transformed local range, feature comparison and invariant, global pointwise relation and proof, vertical transformation equation, first error and minimal repair and invalid claim or first invalid step, corrected conclusion, brief mathematical reason, and the requested underlying result.

96 problems in four activities · answer key included

$3.00

Period and Frequency of Sinusoids | Precalculus | 96 Problems

Practice focuses on period and ordinary frequency, normalized frequencies and comparison, possible b values and verification, complete traversals, residual cycle, ending phase, first error and repair and supported candidates and needed evidence.

96 problems in four activities · answer key included

$3.00

Phase Shifts of Sine and Cosine | Precalculus | 96 Problems

Practice focuses on equivalence and canonical representatives, first error and minimal repair, new phase shift and event verification, shifted anchors and window qualification, phase classes or consistency conclusion and phase class and canonical representative.

96 problems in four activities · answer key included

$3.00

Writing Sinusoidal Equations from Features | Precalculus | 96 Problems

Practice focuses on existence decision and first contradiction, equivalence decision and decisive normalized evidence, one compatible rule and sufficiency explanation, one complete rule and parameter verification, one example rule or impossibility proof and one sine rule with directional check.

96 problems in four activities · answer key included

$3.00

Sinusoidal Modeling | Precalculus | 96 Problems

Practice focuses on family decision with evidentiary limit, model recommendation or insufficiency conclusion, invalid claim or first invalid step, corrected conclusion, brief mathematical reason, and the requested underlying result, invalid assumption and actionable repair, plausible fitted rule and uncertainty statement and signed-residual diagnosis and revision recommendation.

96 problems in four activities · answer key included

$3.00

Interpreting Sinusoidal Transformations | Precalculus | 96 Problems

Practice focuses on changed and invariant physical features, relevant common-scale comparison, first misleading claim and corrected quantitative statement, phase event and initial-value qualification, contextual attained range and boundary status and parameter meanings and derived features.

96 problems in four activities · answer key included

$3.00

Tangent Parent Function Graphs | Precalculus | 96 Problems

Practice focuses on signed unbounded behavior without an assigned value, method/conclusion choice, justification, and endpoint-aware output interval, tangent entries and branch conclusion, one disconnected increasing branch, domain, range, and monotonicity and endpoint-aware output interval.

96 problems in four activities · answer key included

$3.00

Tangent Function Transformations | Precalculus | 96 Problems

Practice focuses on compatible pattern or precise contradiction, invariants, center outputs, and orientation, period, zero family, and asymptote family, failed relation and corrected feature statement, invalid claim or first invalid step, corrected conclusion, brief mathematical reason, and the requested underlying result and included zeros and asymptote locations.

96 problems in four activities · answer key included

$3.00

Inverse Trigonometric Functions | Precalculus | 96 Problems

Practice focuses on valid inverse pair and reason for discarding a row, reason proposal fails and a valid restriction, validity and approximate corrected sign, defined or undefined, real-defined or undefined with failed restriction and validity and location of output.

96 problems in four activities · answer key included

$3.00

Trigonometric Inequalities | Precalculus | 96 Problems

Practice focuses on closed interval to tolerance, interval to tolerance, interval union to tolerance, correct intersection and counterexample, correct interval and boundary counterexample and correct set and boundary counterexample.

96 problems in four activities · answer key included

$3.00

Secant and Cosecant Functions | Precalculus | 96 Problems

Practice focuses on cosecant order and magnitude, cosecant value and order, cosecant value order and magnitude, exact order, exact signed and magnitude relation and exact values and order.

96 problems in four activities · answer key included

$3.00

Cotangent Functions | Precalculus | 96 Problems

Practice focuses on cotangent status and value, family of compatible rules and missing evidence, sign and domain on each interval, period consecutive pole and zero, range and existence of local extrema and values and domain explanation.

96 problems in four activities · answer key included

$3.00

Polar Graphs from Tables | Precalculus | 96 Problems

Connect polar tables, radius values, and graphs. Extend tables, assess whether the given rows are sufficient, and show directed traces of polar graphs.

96 problems in four activities · answer key included

$3.00

Polar Symmetry and Curve Tracing | Precalculus | 96 Problems

Practice focuses on sufficient interval and retrace explanation, symmetry conclusion, once-through subinterval and retrace explanation, pole and nonpole multiplicities, pole multiplicity and nonpole verdict and partial/full/retraced judgment.

96 problems in four activities · answer key included

$3.00

Features of Polar Equations | Precalculus | 96 Problems

Practice focuses on minimum distance and locations, distance and parameter, ordered exact parameter list, closest point and distance, distance and location and distinct coordinate set.

96 problems in four activities · answer key included

$3.00

Radius Graphs vs Polar Traces | Precalculus | 96 Problems

Practice focuses on graph sets, qualification and least point repeat, change descriptions, opposite trends, qualification about least period and two graph descriptions.

96 problems in four activities · answer key included

$3.00