Describe your story and what real-life situation it modeled?
In the “Designing a Story Problem” project, we created a story about a logo designer named Jay. The story models a real-life business pricing situation, showing how prices change based on workload, time, and effort. In addition, it also explains how businesses earn profits and net gains, and shows examples of discounts and cost-efficient purchasing.
What part of your project are you most proud of? Why?
The part of the project that I was most proud of was the process of creating the story. We used a lot of critical thinking to develop a realistic story, making sure that it included mathematical thinking but also an engaging storyline. By creating a multi-step problem, it showed a clear understanding of the math concepts, but also how they could be applied to real-life situations.
What was the hardest part of creating your piecewise function?
The hardest part of creating our piecewise function was answering the question that we created. This was because we designed a difficult multi-step problem that required critical thinking and a lot of math. To answer our question, we not only needed to find out whether the client’s assumption was correct, but we also needed to graph the different intervals and find the slopes of each. This part was not only challenging but also very time-consuming.
If you could revise one part of this project, what would you improve and how?
If I could revise this project, we could improve it by using negative and zero slopes. Throughout our project, we only used positive slopes. By including a variety of slopes, such as negative and zero slopes, we could demonstrate a deeper understanding of the concept and create more interesting graphs and questions.
What did this project help you understand better about piecewise functions?
This project helped me develop a clearer understanding of piecewise functions while also building on my knowledge of linear functions and equations. By learning these concepts, I was able to see how piecewise functions work in real-life situations, which deepened my overall understanding. Additionally, by combining mathematical reasoning and creativity it made this unit became more enjoyable.


