Original PromptCould you make a worksheet with linear functions:
Part 1: Simply evaluate functions (2 examples) use words like "find output if input is... -
Part 2: output is given find input - scaffold one problem step by step, then give 2 questions with no help
Part 3: Show how to find inverse of a linear function: show step by step how to exchange x and y and then solve for y. Then give 5 questions on finding inverse: 2 questions with no fractions and 3 with fractions
This resource focuses on evaluating linear functions, finding inputs from outputs, and determining inverse functions algebraically. It is structured into three parts: the first part covers how to evaluate functions by substituting inputs to find outputs, including examples and independent practice problems. The second part teaches students how to solve for inputs when the output is known, with a detailed step-by-step guide and practice problems. The third part introduces the concept of finding inverses of linear functions through a three-step process—replacing variables, swapping them, and solving for the new variable. The resource also includes guided and independent practice exercises, reflection questions, and a confidence check to assess understanding.