Quad Squad Equation Conquerors!

All grades Project 2 weeks

Quad Squad Equation Conquerors!

Drew Perkins

CCSS.Math.Content.HSA-REI.B.4

CCSS.Math.Content.HSN-CN.C.7

Self Directed Learning

Academic Mindset

+ 1 more

1-pager

Purpose

This project aims to deepen students' understanding of quadratic equations by applying them to real-world scenarios, specifically in modeling population growth. By collaborating with wildlife conservation organizations, students will use mathematical concepts to address authentic community challenges, fostering critical thinking and problem-solving skills. The project encourages self-directed learning and academic mindset development as students reflect on their identity and role in contributing to meaningful conservation efforts. Through hands-on activities and community engagement, students will gain a sense of belonging and efficacy, preparing them to present their findings in professional settings.

Learning goals

Students will develop the ability to solve quadratic equations in one variable, both with real coefficients and complex solutions, by applying these concepts to real-world scenarios such as population growth models. They will enhance their self-directed learning skills by using feedback and self-reflection to refine their work throughout the project. Additionally, students will cultivate an academic mindset by establishing a sense of identity and belonging through collaboration with community partners, while also honing their critical thinking and problem-solving abilities through innovative approaches to authentic questions.

Standards

[Common Core] CCSS.Math.Content.HSA-REI.B.4 - Solve quadratic equations in one variable.
[Common Core] CCSS.Math.Content.HSA-REI.B.4 - Solve quadratic equations in one variable.
[Common Core] CCSS.Math.Content.HSN-CN.C.7 - Solve quadratic equations with real coefficients that have complex solutions.

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

Throughout the project, students will create detailed population growth models using quadratic equations, which will be compiled into a comprehensive report. By the end of the project, students will develop multimedia presentations, including infographics and virtual reality experiences, to showcase their predictions at the 'Future Forecast Fair.' Additionally, students will produce a reflective journal documenting their learning journey, feedback received, and revisions made during the critique sessions.

Launch

Begin the project with a visit to a local wildlife conservation area where students can observe animal habitats and learn about population dynamics firsthand. Facilitate a discussion on the importance of predicting population growth and how quadratic equations can be used in these models. Introduce the concept of quadratic equations through interactive demonstrations, such as using a drone to capture aerial footage of animal populations to visualize growth patterns. Encourage students to brainstorm initial ideas on how they might apply mathematical concepts to real-world conservation efforts.

Exhibition

Students will collaborate with wildlife conservation organizations to host a 'Future Forecast Fair,' where they present their quadratic equation-based predictions for animal population trends. This exhibition will feature engaging multimedia elements, including infographics and virtual reality experiences, to effectively communicate their findings. The fair will provide an interactive platform for students to showcase their work to peers, educators, and community partners, fostering a sense of achievement and community involvement.

Plan

Week 1	Day 1	Day 2	Day 3	Day 4	Day 5
Activities	Introduction to Quadratic Equations - Students explore the concept of quadratic equations through a real-world scenario, focusing on population growth models. They discuss the essential question: 'How can understanding quadratic equations help us predict and model real-world phenomena?' (30 min) Interactive Simulation - Students use an online simulation tool to manipulate variables such as birth rate and death rate, observing how these affect population growth modeled by quadratic equations. They make predictions and compare with actual data. (30 min) Peer Collaboration and Discussion - Students collaborate in small groups to discuss their simulation findings, fostering a sense of belonging and identity. They share insights and provide feedback to peers. (30 min)	Exploration of Quadratic Graphs - Students learn to plot quadratic equations on graphs, identifying key features such as vertex, axis of symmetry, and intercepts using population growth data. (45 min) Hands-On Graphing Activity - Students create their own graphs using real-world data to visualize population trends and predict future growth. They practice critical thinking and problem-solving by analyzing graph features. (45 min)	Real-World Data Collection - Students gather and analyze population data from various sources, preparing to create models using quadratic equations. They focus on accuracy and relevance of data. (30 min) Model Creation Workshop - Students begin creating population growth models using quadratic equations, integrating collected data. They explore how changing parameters affect the model's predictions. (60 min)	Peer Review Session - Students present their models to peers for feedback, engaging in critical reflection and discussion to enhance self-efficacy. (30 min) Model Refinement - Students use peer feedback to refine their population growth models, ensuring clarity and accuracy in representing data through quadratic equations. (60 min)	Complex Solutions Exploration - Students explore quadratic equations with complex solutions, understanding their implications in real-world scenarios such as population growth. (45 min) Self-Reflection and Learning Journal - Students reflect on their learning journey, documenting insights, challenges, and future learning goals related to quadratic equations and population modeling. (45 min)
Deliverables	1. A graph or chart representing the initial population data analysis 2. A draft quadratic model of population growth based on collected data 3. A written reflection on the learning process and feedback received
Preparation	1. Arrange access to computers or tablets for data collection and analysis 2. Prepare visual aids and resources for explaining quadratic equations 3. Gather online resources or databases for population data 4. Set up a platform or space for peer feedback and reflection activities

Week 2	Day 6	Day 7	Day 8	Day 9	Day 10
Activities	Quadratic Formula Discovery - Students derive the quadratic formula through guided exploration and apply it to solve real-world population growth scenarios. (45 min) Peer Teaching Session - Students pair up to teach each other how to use the quadratic formula to solve equations, reinforcing their understanding and fostering collaboration. (45 min)	Complex Solutions Workshop - Students engage in a hands-on activity to visualize and understand complex solutions of quadratic equations using interactive tools. (45 min) Connecting Complex Solutions to Real-World Contexts - Students discuss how complex solutions might apply to population growth and other phenomena, enhancing critical thinking. (45 min)	Data-Driven Predictions - Students use quadratic models to make predictions about future population trends, analyzing how accurate their models are compared to historical data. (45 min) Model Presentation Preparation - Students prepare presentations to showcase their quadratic models and predictions, incorporating visuals and data analysis. (45 min)	Presentation Rehearsal and Feedback - Students rehearse their presentations in front of peers, receiving constructive feedback to refine their final delivery. (45 min) Final Model Refinement - Based on feedback, students make final adjustments to their models and presentations, ensuring clarity and accuracy. (45 min)	Final Presentations - Students present their quadratic models and predictions to the class, demonstrating their understanding and application of quadratic equations. (60 min) Reflective Learning Discussion - Students engage in a group discussion to reflect on their learning journey, insights gained, and future applications of quadratic equations. (30 min)
Deliverables	1. Refined population growth models using quadratic equations. 2. Visual graphs and charts demonstrating the application of quadratic equations in real-world scenarios. 3. Multimedia presentation showcasing findings and predictions related to population growth.
Preparation	1. Prepare feedback forms for peer review sessions. 2. Provide access to data sets on population growth for analysis. 3. Set up digital tools and resources for multimedia presentations. 4. Arrange for community members and peers to attend the exhibition. 5. Organize presentation equipment such as projectors and screens for exhibition day.