Specific Expectations
2.5 determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y =af (k(x – d)) + c, where f(x) =sinx or f(x) =cosx with angles expressed in degrees, and describe these roles in terms of transformations on the graphs of f(x) =sinx and f(x) =cosx
Materials
art supplies, computer access
Important Terminology
Background Knowledge
Hook
Lesson Sequence
Have the students from groups or 3 or four, and task them with producing a poster/presnetation/website/whatever that demonstrates the effects of a, k, c and d on the graphs of f(x) = a sin( k (x + d ) ) + c, and on it's domain, range, amplitude, period, cycle, phase shift.
Key Questions
Leading questions given by you to the students and expected questions from the students
Assessment
Their product is a summative assessment of their understanding of the properties of snusoidal functions.
Enrichment
Remediation
Implications for Future Lessons