The purpose of this learning experience is to engage students in exploring the real-world applications of quadratic functions through hands-on projects and community collaboration. By designing and building structures that incorporate quadratic curves, students will deepen their understanding of mathematical concepts while fostering creativity and critical thinking. Through interactions with professionals and peers, students will reflect on their learning journey, gaining insights into the role of quadratics in various fields such as architecture and technology.
Learning goals
Students will explore the real-world applications of quadratic functions in sports, architecture, and art, developing a deeper understanding of their significance. They will engage in hands-on projects to design and build structures incorporating quadratic curves, fostering creativity and critical thinking. Through collaboration with community partners, students will gain insights into the use of quadratics in technology and science, enhancing their problem-solving skills. They will reflect on their learning journey, identifying key moments of insight and growth, while establishing a sense of belonging and identity within the mathematical community.
Standards
[Massachusetts] 7.EE.B.4 - Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
[Massachusetts] 7.NS.A.1 - Apply and extend previous understandings of addition and subtraction to add and subtract integers and other rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
[Massachusetts] MP.1 - Make sense of problems and persevere in solving them.
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.
Products
Students will create a series of quadratic art installations that showcase their understanding of quadratic functions through design and construction. By the end of the project, each student will have a physical or digital model of their structure or sculpture, accompanied by a written explanation of the mathematical principles involved. Additionally, students will produce reflective journal entries documenting their learning journey and insights gained from the project and field trip experiences. These products will be shared during the Quadratic Gallery Walk and the Quadratic Innovation Expo, allowing students to present their work to peers, community partners, and industry professionals.
Launch
Begin the lesson with a dynamic 'Quadratic Art Installation' project where students brainstorm ideas for sculptures or structures that incorporate quadratic curves. Provide materials and tools for students to sketch and build their designs, encouraging them to explore the intersection of math and art. Facilitate small group discussions to help students connect their designs to real-world applications, such as in architecture and sports.
Exhibition
Organize a 'Quadratic Innovation Expo' where students showcase their projects, such as quadratic art installations or real-world problem-solving inventions, to peers, family, and community members. Invite local entrepreneurs and engineers to serve as judges and mentors, providing feedback and engaging in discussions about the students' creative applications of quadratic functions. This event will allow students to demonstrate their understanding and creativity while fostering connections with the broader community.