Students will explore and define the real-world problem of tracking changes over time using linear functions by analyzing various datasets and identifying constraints related to these functions, setting the stage for further exploration in subsequent phases.

Students will brainstorm innovative real-world scenarios that can be modeled using linear functions, sketch preliminary graphs, and collaboratively discuss potential outcomes and applications, building upon their initial activities to pave the way for detailed planning in subsequent phases.

Students will collaboratively design a detailed plan to construct linear function models based on their chosen real-world scenarios by selecting relevant datasets, defining variables, and mapping out the steps needed to demonstrate their understanding of function notation and domain-range relationships effectively.

Students will construct digital prototypes of linear functions illustrating real-world scenarios, analyzing their initial outcomes and adjusting their models based on peer and teacher feedback over three days.

Students will test their digital portfolios by engaging in peer reviews to validate their linear function models and graphs, focusing on accuracy, clarity, and application of real-world scenarios.

Students will critically evaluate their digital portfolio representations of linear functions, incorporating peer and teacher feedback to refine their models and presentations, ensuring clarity and accuracy in their mathematical communication and function interpretations before advancing to the sharing phase.

Students will present their digital portfolios and simulation models to classmates and community members, articulate their insights and growth in understanding linear functions through engaging presentations, and reflect on feedback to deepen their awareness of their learning achievements and future applications.