9th Grade  Project 3 weeks

Equation Expedition: Solving Systems Adventure!

Katie L
CCSS.Math.Content.HSA-REI.C.8
Self Directed Learning
Academic Mindset
Critical Thinking & Problem Solving
Content Expertise
+ 1 more
1-pager

Purpose

This project immerses 9th-grade students into the world of a simulated 'Linear Equations Marketplace,' where they role-play as buyers and sellers. Through engaging in authentic scenarios, they explore resource optimization using systems of linear equations to make informed decisions and solve practical problems. The project empowers students to apply mathematical concepts to real-world situations, cultivating essential skills such as critical thinking, self-directed learning, and effective communication. By building and reflecting on their business plans, students establish a deeper understanding of mathematical relationships and their impact on community and world economics.

Learning goals

Students will effectively apply systems of linear equations to real-world scenarios, enhancing their problem-solving skills in a mock marketplace environment. They will practice critical thinking by considering various approaches to resource optimization in business plans, and hone their self-directed learning through reflective feedback and peer discussions. Additionally, students will develop effective communication skills by presenting and demonstrating their findings, fostering a deeper understanding of the socio-economic dynamics influenced by linear equations.
Standards
  • [Common Core] CCSS.Math.Content.HSA-REI.C.8 - (+) Represent a system of linear equations as a single matrix equation in a vector variable.
Competencies
  • Self Directed Learning - Students use teacher and peer feedback and self-reflection to monitor and direct their own learning while building self knowledge both in and out of the classroom.
  • Academic Mindset - Students establish a sense of place, identity, and belonging to increase self-efficacy while engaging in critical reflection and action.
  • Critical Thinking & Problem Solving - Students consider a variety of innovative approaches to address and understand complex questions that are authentic and important to their communities.
  • Content Expertise - Students develop key competencies, skills, and dispositions with ample opportunities to apply knowledge and engage in work that matters to them.
  • Effective Communication - Students practice listening to understand, communicating with empathy, and share their learning through exhibiting, presenting and reflecting on their work.

Products

Students will create an interactive exhibit showcasing their problem solving with systems of linear equations. Each exhibit will feature DIY demonstrations, allowing students to illustrate and explain step-by-step how they constructed and applied systems of equations in optimizing resources within a mock business plan. The exhibit will also include visual representations and reflections on the socio-emotional dynamics they encountered in the "Linear Equations Marketplace," ensuring peer and teacher feedback are integral components to refine and present their learning effectively.

Launch

Begin the project with an immersive 'Linear Equations Marketplace' event, where students take on roles as buyers and sellers to explore and negotiate using systems of linear equations. Set up various marketplace stations with different goods and services, each with multiple pricing options and constraints represented by equations. Encourage students to engage in dynamic exchanges, leveraging their mathematical reasoning to maximize profit, minimize costs, or balance supply and demand based on their role. This hands-on experience will introduce them to real-world applications of linear equations while fostering collaboration and strategic thinking.

Exhibition

Create a dynamic exhibition where students form booths showcasing their solutions to real-world budget allocation challenges using systems of linear equations. Each booth should include interactive demonstrations and visual displays that clearly explain their equations and decision-making processes. Encourage students to engage visitors in dialogue, answering questions and elaborating on their experiences in role-playing marketplace scenarios. Invite peers, teachers, and community members to visit the exhibition, fostering a collaborative environment and promoting feedback on both mathematical content and presentation skills.