What the learner will study

• Function Language, Notation & Evaluation
• Domain, Range, Intervals & Constraints
• Transformations of Parent Functions
• Function Composition & Decomposition
• Inverse Functions & One-to-One Relationships
• Piecewise, Absolute-Value & Step Functions

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

Function Transformation & Inverse Design Portfolio asks the learner to define a real question, construct mathematics, validate results, state uncertainty, and communicate a defensible conclusion.