Differentiation and Support Strategies
Audience: Low Readiness
Strategy-Group Structure and Visual Focus: Pair students with high and low readiness. If the all together reduction rules are overwhelming for students, then guide them to focus only on the two most basic cases: and .
Implementation Method: Encourage using the unit circle visualization to measure and compare the two key side lengths for these simplified cases. This makes more simple the cofunction transformation concept.
Audiance: High Readiness
Strategy-Generalization and Proof: Challenge them to derive the reduction rules for the and functions and their corresponding signs.
Implementation Method: Ask them to present their derived general rules (e.g., for and ) to the class, explaining the geometrical reasoning behind both the name change and the sign rule.