Original PromptCreate a 4-5 page-student facing Pre-calculus handout on a lesson o how to evaluate, graph, and identify domain restrictions and discontinuities of piecewise-defined functions. Include a do now with 4-6 questions related to prior skills they should know, a mini-lesson with a model, a guided practice with 4-6 questions, an independent practice that gradually increases in rigor with 8-10 questions, an exit ticket, and a homework page with 10 problems,
This learning resource focuses on piecewise-defined functions and their associated discontinuities. It outlines learning objectives, including evaluating, graphing, and identifying domain restrictions in these functions. It begins with retrieval exercises that reinforce prior knowledge, followed by a mini-lesson that details key concepts related to piecewise functions, domain restrictions, and types of discontinuities: point, jump, and infinite. Worked examples illustrate how to analyze piecewise functions through specific evaluations and sketched graphs. Guided and independent practice sections encourage conceptual fluency and mastery, asking students to evaluate functions at given points, sketch graphs, and identify discontinuities. The resource also includes challenges in constructing functions from graphical representations and an exit ticket designed to assess understanding of continuity and discontinuities in piecewise functions.