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Connect algebra to the real world with the Systems of Linear Inequalities Project!This project-based learning activity helps students explore real-life applications of systems of linear inequalities through a fun, hands-on experience:planning a party!Students work collaboratively in groups while also completing individual tasks as part of the project.
Throughout the project, students research and collect data, create graphs using Desmos, write inequalities to model real-world relationships, and analyze how systems of linear inequalities appear in everyday situations. With clear, step-by-step guidance, this project supports student success while helping them see that math truly is everywhere!
REAL-LIFE TOPICS:
Research:Finding prices online for party items and calculating cost per serving.
Business:Planning a budget and making purchasing decisions within financial constraints.
Data Analysis & Visualization:Representing feasible solutions with linear inequalities and solution points.
Decision Making:Balancing multiple constraints (budget, quantity, and preferences) to optimize the party plan.
Project Management: Working in teams to assign responsibilities and combine totals for a final plan.
OBJECTIVES: Students will analyze inequalities in the real world by demonstrating their knowledge and understanding of the following skills:
Calculating cost per item from package prices.
Writing and solving linear inequalities.
Working collaboratively to manage a shared budget.
Graphing inequalities and plotting solution points.
Making decisions based on real-world constraints (number of guests, budget limits).
Communicating mathematical reasoning clearly through tables, graphs, and written explanations.
INCLUDED (100% EDITABLE - Google Slides & PowerPoint): ✅ Note to Teacher: Guide with notes, directions, and tips for introducing and managing the project ✅ Student Handout with step-by-step directions
Students are able to demonstrate their knowledge and understanding of math in real world settings. Authentic projects that can be used as individual or group work. Project based learning is perfect to integrate within a unit of study or used as a summative assessment.
Details
INCLUDES
• Note to Teacher describing how to use the project • Student handout (editable) • Rubric (editable)
*Some projects include extra handouts and/or videos
I am always trying to create or find projects where each students' project will be different than every other students in the class because it is more authentic this way. And of course, I want it to be applicable in the real world! This is not always easy to make because if every student’s project is different, or even has an unlimited number of solutions, checking each one is extremely difficult and time-consuming for the teacher. Well, guess what?!...these projects are authentic.
