All grades  Project 4 weeks

"Parabola Profits: Maximizing the Curve!"

Tiffany S
CCSS.Math.Content.8.F.B.5
CCSS.Math.Content.8.F.B.4
CCSS.Math.Content.8.SP.A.3
Self Directed Learning
Academic Mindset
+ 1 more
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Purpose

The purpose of this learning experience is to immerse students in the practical application of quadratic equations through the simulation of a small business, enabling them to understand and optimize profit models. By engaging with real-world data and collaborating with community partners, students will develop critical thinking and problem-solving skills, fostering a deeper understanding of mathematical concepts in a business context. This project aims to cultivate self-directed learning and an academic mindset, empowering students to make informed decisions and effectively communicate their ideas.

Learning goals

Students will develop the ability to analyze and interpret real-world data to construct quadratic equations that model business scenarios. They will enhance their problem-solving skills by identifying maximum profit points and applying these insights to create effective business strategies. Through collaboration with community partners and peers, students will refine their communication and critical thinking skills, enabling them to present and defend their business plans confidently. Additionally, students will gain practical experience in using mathematical models to make informed decisions, fostering a deeper understanding of the connection between mathematics and business.
Standards
  • [Common Core] CCSS.Math.Content.8.F.B.5 - Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
  • [Common Core] CCSS.Math.Content.8.F.B.4 - Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
  • [Common Core] CCSS.Math.Content.8.SP.A.3 - Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept.
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 detailed business plan that includes a quadratic profit model, showcasing their understanding of maximizing profit through mathematical analysis. They will develop a digital marketing campaign, utilizing quadratic equations to predict the impact of advertising on sales revenue, and present it at the Business Expo. Additionally, students will design an eco-friendly product line, using quadratic models to optimize production and pricing, and display these products alongside their environmental benefits at the expo.

Launch

Kick off the project with a "Business Launch Day" where students visit a local small business to observe its operations firsthand. They will gather initial data on costs and revenues while engaging in an interactive Q&A session with the owner about real-world business challenges. This immersive experience will provide students with a foundational understanding of the practical applications of quadratic equations in optimizing business profits.

Exhibition

Students will host a 'Business Expo' where they will set up interactive booths to showcase their quadratic-based business plans. Each booth will feature digital presentations, prototypes, and visual displays that explain the mathematical concepts behind their profit maximization strategies. Community partners, peers, and family members will be invited to explore the exhibits, ask questions, and provide feedback on the students' innovative business solutions. This event will serve as a platform for students to articulate their learning journey and demonstrate their ability to apply mathematical models in real-world contexts.