Students will explore the dynamics of shoe pricing by analyzing the costs of materials and labor, and how these factors contribute to the final price. Through hands-on activities, they will investigate proportional and linear relationships to understand the mathematics behind pricing strategies. This project encourages students to apply math concepts to real-world scenarios, enhancing their problem-solving skills and financial literacy.

Students will analyze the factors influencing shoe prices, including material costs and labor, to understand how these elements contribute to the final price. They will explore proportional relationships by calculating and comparing the cost components in different shoe models. Through hands-on activities, students will apply linear equations to model pricing scenarios and predict changes in shoe costs based on varying factors. This project will enhance their ability to interpret and manipulate mathematical relationships in real-world contexts.

Students will create a detailed cost analysis report for a pair of shoes, incorporating research on material costs, labor expenses, and other factors influencing final pricing. They will also design a visual infographic that illustrates the proportional relationships between these costs and the retail price. By the end of the project, students will present their findings in a mock business meeting, showcasing their understanding of proportionality and linear relationships in real-world pricing scenarios.

Begin the project by visiting a local shoe store or inviting a guest speaker from the footwear industry to discuss the factors influencing shoe pricing. Students will observe and take notes on different shoe models, comparing the costs of materials, labor, and brand influence. Back in the classroom, they will brainstorm and list the components that contribute to the final price of shoes, setting the stage for exploring proportional and linear relationships in pricing.

At the end of the project, students will host a "Shoe Price Showcase" where they present their findings on the cost breakdown of shoe production, including materials and labor. Each student will create a visual display, such as a poster or digital presentation, illustrating the proportional relationships they identified and explaining how these factors influence the final retail price. Invite peers, teachers, and family members to attend the showcase, allowing students to engage in discussions and answer questions about their research and insights.