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Essential Question
What question will guide the project and learning?
Community Partners
What organizations and individuals will collaborate and enhance the learning experience?
Reflection
What opportunities are there for us to reflect on our academic and socio-emotional development?
Assessment
In what ways can we demonstrate what we have learned and how we have grown?
Exhibition
How and who will we celebrate our learning with?
Project Launch
What shared experiences will engage us in the content, skills, and mindsets of the project?
Core Content
What will we need to learn and practice in order to engage in the project?
Critique and Revision
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Product
What will we make, build, or do that will have an impact on us or the world around us?
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What question will guide the project and learning?

In what ways do quadratic functions appear in real-world scenarios, such as sports or architecture, and how can we analyze them?

    Design for Mastery Kit
    NEW
9th Grade  Lesson 45 minutes

Quadratic Quest: Play & Learn Algebra!

Serenity R
7.EE.B.4
7.NS.A.1
MP.1
Self Directed Learning
Academic Mindset
+ 1 more
1-pager

Purpose

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.
Learning Journey
Project Activities
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Plan
Activities
Quadratic Art Installation Brainstorm
Activity 10m
Design Sketching
Activity 10m
Group Discussion and Peer Feedback
Activity 10m
Hands-On Construction
Activity 10m
Reflective Journaling
Activity 5m
Preparation
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