What the learner will study

• Angle Measure, Radians & Coterminal Angles
• The Unit Circle & Coordinate Definitions
• Exact Trigonometric Values & Reference Angles
• Six Trigonometric Functions & Reciprocal Relationships
• Graphs of Sine and Cosine
• Amplitude, Period, Phase & Vertical Shifts
• Graphs of Tangent, Cotangent, Secant & Cosecant
• Inverse Trigonometric Functions & Restricted Domains
• Sinusoidal Regression & Periodic Data
• Vectors, Bearings & Component Models

How to support without taking over

• Ask the learner to define inputs, outputs, units, and domain.
• Ask which property or theorem justifies each transformation.
• Request an independent check by substitution, graph, table, or alternate method.
• Encourage correction notes rather than erasing evidence of learning.
• Use the calculator after the mathematical setup is visible.

Evidence to preserve

Keep one worked example, one correction, one application or project artifact, the mastery result, and a reflection explaining growth and next steps.

Applied investigation

Periodic Phenomenon Modelling Studio asks the learner to define a real question, construct mathematics, validate results, state uncertainty, and communicate a defensible conclusion.